Publikationen




Datum: Autor: Titel: Veröffentlicht in: PDF:
2015 T. Carraro,
E. Friedmann,
D. Gerecht
Coupled vs. decoupled approaches for PDE/ODE systems modeling intercellular signaling Submitted to Journal of Computational Physics, 2015. pdf
2015 W. Bangerth,
T. Heister,
L. Heltai,
G. Kanschat,
M. Kronbichler,
M. Maier,
B. Turcksin,
T. D. Young
The deal.II Library, Version 8.2 Archive of Numerical Software, Vol. 3 (2015), DOI 10.11588/ans.2015.100.18031 pdf
11/2014 T. Richter,
T. Wick
Variational Localizations of the Dual-Weighted Residual Estimator Journal for Computational and Applied Mathematics (accepted for publication, 2014) pdf
2014 S. Frei,
T. Richter
A locally modified parametric finite element method for interface problems SIAM Journal on Numerical Analysis, vol. 52(5), 2315--2334 (2014) pdf
2014 S. Knauf,
S. Frei,
T. Richter,
R. Rannacher
Towards a complete numerical description of lubricant film dynamics in ball bearings Computational Mechanics 53(2), 239-255 (2014) pdf
2014 K. Thurley,
D. Gerecht,
E. Friedmann,
T. Höfer
Three-dimensional gradients of cytokine signaling between T cells submitted to PLOS Computational Biology (2014) n.a.
2014 E. Friedmann, About the role of diffusion in long-term and -range cellular signaling submitted to BMC Biophysics, BioMed Central (2014) n.a.
2014 T. Carraro,
M. Geiger
Direct and indirect multiple shooting for parabolic optimal control problems in: Multiple Shooting and Time Domain Decomposition Methods, Springer (submitted, to appear in 2015) n.a.
2014 M. Klinger A variational approach for physically based image interpolation across boundaries in: Multiple Shooting and Time Domain Decomposition Methods, Springer (submitted, to appear in 2015) n.a.
2014 T. Richter,
T. Wick
On time discretizations of fluid-structure interactions in: Multiple Shooting and Time Domain Decomposition Methods, Springer (accepted, to appear in 2015) n.a.
2014 S. Frei,
T. Richter
A second-order time-stepping scheme for parabolic interface problems with moving interfaces Submitted (2014) n.a.
2014 S. Frei,
T. Richter,
T. Wick
Solid growth and clogging in fluid-structure interaction using ALE and fully Eulerian coordinates Submitted (2014) n.a.
2014 T. Carraro,
C. Goll,
A. Marciniak-Czochra,
A. Mikelic
Effective interface conditions for the forced infiltration of a viscous fluid into a porous medium using homogenization Computer Methods in Applied Mechanics and Engineering, accepted for publication pdf
10/2014 M. Maier,
R. Rannacher
Duality-based adaptivity in finite element discretization of heterogeneous multiscale problems Submitted (2014) n.a.
03/2014 T. Carraro,
M. Geiger,
R. Rannacher
Indirect multiple shooting for nonlinear parabolic optimal control problems with control constraints SIAM J. Scientific Computing 36, A452-A481 (2014) pdf
2014 S. Frei,
T. Richter,
T. Wick
Eulerian techniques for fluid-structure interactions - Part I: Modeling and simulation Lecture Notes in Science and Engineering (Proceedings of ENUMATH 2013) (accepted, to appear) n.a.
2014 S. Frei,
T. Richter,
T. Wick
Eulerian techniques for fluid-structure interactions - Part II: Applications Lecture Notes in Science and Engineering (Proceedings of ENUMATH 2013) (accepted, to appear) n.a.
12/2013 W. Bangerth,
T. Heister,
L. Heltai,
G. Kanschat,
M. Kronbichler,
M. Maier,
B. Turcksin,
T. D. Young
The deal.II Library, Version 8.1 arXiv preprint pdf
2013 M. Klinger Parameter estimation problems in physically based image processing Numerical Mathematics and Advanced Applications (Proceedings of ENUMATH 2011), Springer 2013, 191-199 n.a.
2013 T. Richter
T. Wick
Optimal Control and Parameter Estimation for Stationary Fluid-Structure Interaction Problems SIAM J. Sci. Comput. 35(5), B1085-B1104 (2013) n.a.
2013 T. Wick Flapping and Contact FSI Computations with the Fluid-Solid Interface-Tracking/Interface-Capturing Technique and Mesh Adaptivity Computational Mechanics 53, 29-43 (2013) n.a.
2013 T. Wick Coupling of Fully Eulerian with Arbitrary Lagrangian-Eulerian Coordinates for Computing Fluid-Structure Interactions Computational Mechanics 52, 1113-1124 (2013) n.a.
2013 T. Carraro,
J. Joos
Parameter estimation for a reconstructed SOFC mixed-conducting LSCF-cathode, in: Model based parameter estimation: Theory and applications, Springer (2013) n.a.
2013 E. Friedmann,
R. Neumann,
R. Rannacher
Well posedness of a linear spatio temporal model of the JAK2/STAT5 signaling pathway Comm. Math. Analysis 5(2), 76-102 (2013) n.a.
2013 S. Frei,
H. Andrä,
R. Pinnau,
O. Tse
Optimizing fiber orientation in fiber-reinforced composites using efficient upscaling Computational Optimization and Applications (2013) pdf
2013 T. Carraro,
C. Goll,
A. Marciniak-Czochra,
A. Mikelic
Pressure jump interface law for the Stokes-Darcy coupling: Confirmation by direct numerical simulations Journal of Fluid Mechanics 732, 510-536 (2013) pdf
2013 T. Carraro,
C. Goll
A goal-oriented dual weighted error estimator for elliptic homogenization problems (submitted 2013) n.a.
2013 M Al-Arydah,
T. Carraro
Reviewing the mathematical validity of a cathode SOFCs model. Existence of weak positive bounded solution (submitted 2013) n.a.
03/2013 R. Rannacher,
J. Vihharev
Adaptive finite element analysis of nonlinear problems: balancing of discretization and iteration errors Journal of Numerical Mathematics 21, 23-62 (2013) pdf
2012 C. Goll,
T. Wick,
W. Wollner
DOpElib: Differential Equations and Optimization Environment; A Goal Oriented Software Library for Solving PDEs and Optimization Problems with PDEs submitted to ACM Transactions on Mathematical Software pdf
2012 E. Feireisl,
E. Friedmann
Continuity of Drag and domain stability in the low Mach number limits J. Math. Fluid. Mech. 14 (2012), 731-750 pdf
2012 J. Claus,
E. Friedmann,
U. Klingmüller,
R. Rannacher,
T. Szekeres
Spatial aspects in the SMAD signaling pathway J. Math. Biol. n.a.
2012 A. Hirn Approximation of the p-Stokes equations with equal-order finite elements J. Math. Fluid Mech. n.a.
2012 A. Hirn,
M. Lanzendörfer,
J. Stebel
Finite element approximation of flow of fluids with shear-rate- and pressure-dependent viscosity IMA J. Numer. Anal. 32 (4), pp. 1604-1634 (2012) n.a.
2012 A. Hirn Finite element approximation of singular power-law systems Math. Comp., accepted for publication n.a.
2012 J. Joos,
B. Rüger
T. Carraro
A. Weber
E. Ivers-Tiffee
3D FEM model for reconstructed mixed-conducting LSCF cathodes: I. Performance quantication Electrochimica Acta, 77(0), 315-323, (2012) n.a.
2012 J. Joos,
B. Rüger
T. Carraro
A. Weber
E. Ivers-Tiffee
3D FEM model for reconstructed mixed-conducting LSCF cathodes: II. Parameter sensitivity analysis Electrochimica Acta, 77(0), 309-314, (2012) n.a.
2012 C. C. Chueh,
W. Bangerth,
N. Djilali
An H-adaptive Operator Splitting Method for Two-phase Flow in 3D Heterogeneous Porous Media Accepted for publication in SIAM Journal of Scientific Computing n.a.
2012 M. Kronbichler,
T. Heister,
W. Bangerth
High Accuracy Mantle Convection Simulation through Modern Numerical Methods Geophysics Journal International, vol. 191, pp. 12-29 (2012) n.a.
2012 J. Joos,
T. Carraro
M. Ender
E. Ivers-Tiffee
Quantitative Characterization of LiFePO4 Cathodes Reconstructed by FIB/SEM Tomography Journal of the electrochemical society, 159(7), A972-A980 (2012) n.a.
2012 J. Joos,
A. Weber
T. Carraro
M. Ender
E. Ivers-Tiffee
Representative Volume Element Size for Accurate Solid Oxide Fuel Cell Cathode Reconstructions from Focused Ion Beam Tomography Data Electrochimica Acta, 82 (0), 268-276 (2012) n.a.
03/2012 T. Wick Stability estimates and numerical comparison of second-order time-stepping schemes for fluid-structure interaction Proc. ENUMATH 2011, accepted n.a.
03/2012 T. Wick Fully Eulerian Fluid-Structure Interaction for Time-Dependent Problems under 2nd review n.a.
03/2012 T. Wick Goal-Oriented Mesh Adaptivity for Fluid-Structure Interaction with Application to Heart-Valve Settings Archive of Mechanical Engineering 59, pp. 73-99 (2012) n.a.
03/2012 A. Hirn Finite Element Approximation of Problems in Non-Newtonian Fluid Mechanics PhD Thesis, University of Heidelberg (2012) n.a.
02/2012 T. Wick Solving Monolithic Fluid-Structure Interaction Problems in Arbitrary Lagrangian Eulerian Coordinates with the deal.II Library ANS (2012), reviews completed n.a.
01/2012 B. Janssen Adaptive Coupling of Finite Element Methods for Simulation of Hydrodynamics and Pollutant Transport in Lakes PhD Thesis, University of Heidelberg (2012) n.a.
2011 R. Rannacher A Short Course on Numerical Simulation of Viscous Flow: Discretization, Optimization and Stability Analysis in Lecture Notes 12th school "Mathematical Theory in Fluid Mechanics", Spring 2011 Karcov, Czech Republic, 2011, Discrete and Continuous Dynamical Systems - Series S, to appear n.a.
12/2011 T. Wick Adaptive Finite Element Simulation of Fluid-Structure Interaction with Application to Heart-Valve Dynamics PhD Thesis, University of Heidelberg (2011) n.a.
11/2011 A. Hirn,
M. Lanzendörfer,
J. Stebel
Finite element approximation of flow of fluids with shear rate and pressure dependent viscosity accepted for IMA Journal of Numerical Analysis n.a.
11/2011 P. Konzen,
T. Richter,
U. Riedel,
U. Maas
Implementation of REDIM reduced chemistry to Model an Axisymmetric Laminar Diffusion Methane/Air Flame Combustion Theory and Modelling 15 (3), pp. 299-323 (2011) n.a.
11/2011 M. Besier,
R. Rannacher
Goal-oriented space-time adaptivity in the finite element Galerkin method for the computation of nonstationary incompressible flow accepted for Int. J. Numer. Meth. Fluids pdf
11/2011 E. Friedmann,
A.C. Pfeiffer
R. Neumann,
U. Klingmüller
R. Rannacher
Interaction between Experiment, Modeling and Simulation of Spatial Aspects in the JAK2/STAT5 Signaling Pathway Modellgestuetzte Parameterschaetzung - Theorie und Anwendungen, R. Rannacher, H.G. Bock (eds.), Springer, to appear n.a.
11/2011 E. Feireisl,
E. Friedmann
Continuity of Drag and domain stability in the low Mach number limits Preprint n.a.
10/2011 E. Friedmann,
R. Richter
Optimal microstructures: drag reducing mechanism of riblets J. Math. Fluid. Mech. 13 (3), pp. 429-447 (2011) n.a.
10/2011 D. Gerecht,
R. Rannacher,
W. Wollner
Computational aspects of pseudospectra in hydrodynamic stability analysis accepted for J. Math. Fluid Mech. pdf
09/2011 M. Mercker,
T. Richter
D. Hartmann
Sorting mechanisms and communication in phase-separating coupled monolayers J. Phys. Chem. B. 115 (40), pp. 11739-11745 (2011) n.a.
09/2011 S. Frei,
R. Rannacher,
W. Wollner
A priori error estimates for the finite element discretization of optimal distributed control problems governed by the biharmonic operator submitted to Calcolo pdf
08/2011 M. Kimmritz,
T. Richter
Parallel multigrid method for finite element simulations of complex flow problems on locally refined meshes Num. Linear Algebra Appl. 18, pp. 615-636 (2011) n.a.
07/2011 M. Besier,
W. Wollner
On the pressure approximation in nonstationary incompressible flow simulations on dynamically varying spatial meshes accepted for Int. J. Numer. Meth. Fluids n.a.
06/2011 R. Rannacher,
J. Vihharev
Balancing discretization and iteration error in finite element error analysis in Numerical Methods for Differential Equations, Optimization, and Technological Problems Proc. ECCOMAS Thematic Conference CAO2011 Computational Analysis and Optimization, Jyväskylä, Finland, to appear n.a.
04/2011 T. Wick An Energy Absorbing Layer for the Structure Outflow Boundary Applied to 2D Heart Valve Dynamics with Multiple Structures ECCOMAS - SIMBIO, Sep 21-23, 2011, Bruxelles, Belgium pdf
04/2011 T. Wick Adaptive finite elements for monolithic fluid-structure interaction on a prolongated domain: applied to an heart valve simulation CMM 2011, Comput. Meth. Mech., May 9-12, 2011, Warsaw, Poland pdf
03/2011 C. Goll,
R. Rannacher,
W. Wollner
On the Adjoint to the Damped Crank-Nicolson Time Marching Scheme: Applications to Goal-Oriented Mesh Adaptation for the Black-Scholes Equation accepted for publication in Journal of Computational Finance pdf
02/2011 A. Schiela,
W. Wollner
Barrier methods for optimal control problems with convex nonlinear gradient state constraints SIAM J. Optim. 21(1), 269-286 pdf
2011 F. Ciucci,
T. Carraro,
W. C. Chueh,
W. Lai
Reducing Error and Measurement Time in Impedance Spectroscopy using Model Based Optimal Experimental Design Electrochimica Acta, 56 (15), 5416-5434 (2011) n.a.
xx/2011 J. Joos,
T. Carraro
M. Ender
E. Ivers-Tiffee
Three-dimensional reconstruction of a composite cathode for lithium-ion cells Electrochemistry Communications, 13 (2), 166-168 n.a.
xx/2011
T. Carraro
A variational formulation for optimal experimental design with PDE based models submitted n.a.
xx/2011 J. Joos,
B. Rüger
T. Carraro
A. Weber
M. Ender
E. Ivers-Tiffee
Detailed Microstructure Analysis and 3D Simulations of Porous Electrodes ECS Trans., 35, 2357-2368 n.a.
xx/2011 J. Joos,
B. Rüger
T. Carraro
A. Weber
E. Ivers-Tiffee
Electrode Reconstruction by FIB/SEM and Microstructure Modeling ECS Trans. 28, 81-91 n.a.
xx/2010 J. Joos,
T. Carraro
A. Weber
E. Ivers-Tiffee
Reconstruction of Porous Electrodes by FIB/SEM for Detailed Microstructure Modeling Proc. 9th European Solid Oxide Fuel Cell Forum, 6/75-6/81 n.a.
10/2010 R. Rannacher,
A. Westenberger,
W. Wollner
Adaptive finite element solution of eigenvalue problems: balancing of discretization and iteration error J. Numer. Math. 18(4), pp 303--327. (2010) pdf
10/2010 T. Wick Fluid-structure interactions using different mesh motion techniques Comput. Struct. (89), pp 1456-1467 (2011) n.a.
09/2010 R. Rannacher,
T. Richter
An Adaptive Finite Element Method for Fluid-Structure Interaction Problems Based on a Fully Eulerian Formulation In: Fluid-Structure Interaction II: Modelling, Simulation, Optimization. Lecture Notes, Springer (2010) n.a.
06/2010 E. Friedmann,
T. Richter
Optimal microstructures. Drag reducing mechanism of riblets J. Math. Fluid Mech., 13(3), pp. 429-447 n.a.
07/2010 A. Hirn Approximation of the p-Stokes equations with equal-order finite elements accepted for J. Math. Fluid Mech. n.a.
07/2010 W. Wollner Adaptive Methods for PDE-based Optimal Control with Pointwise Inequality Constraints PhD Thesis, University of Heidelberg (2010) n.a.
06/2010 E. Friedmann,
T. Richter
On Drag computations of rough surfaces: modeling, simulations and model reduction by applying homogenization Proc. ECCOMAS CFD 2010 n.a.
05/2010 Th. Richter,
Th. Wick
Finite elements for fluid-structure interaction in ALE and fully Eulerian coordinates Comput. Methods Appl. Mech. Engrg. (2010) doi: 10.1016/j.cma.2010.04.016 n.a.
05/2010 E. Friedmann, The optimal shape of riblets in the viscous sublayer J. Math. Fluid Mech., 12(2), pp. 243-265 n.a.
05/2010 W. Wollner Goal-oriented adaptivity for optimization of elliptic systems subject to pointwise inequality constraints: application to free material optimization PAMM 10, 669--672 (2010) n.a.
04/2010 Th. Richter,
Th. Wick
Fluid-structure interactions in ALE and fully Eulerian coordinates PAMM 10, 487--488 (2010) n.a.
03/2010 E. Friedmann, Turbulent flow above riblets: How analysis reduce the drag in the viscous sublayer Proc. Appl. Math. Mech. n.a.
xx/2010 E. Friedmann,
J. Portl
T. Richter
A Study of Shark Skin and its drag reducing mechanism Advances in Math. Fluid Mech., R. Rannacher, A. Sequeira (eds.), Springer n.a.
03/2010 B. Janssen,
Th. Wick
Block preconditioning with Schur complements for monolithic fluid-structure interactions ECCOMAS CFD 2010, Lisbon, Portugal, 14-17 June 2010 (J.C.F. Pereira and A. Sequeira, eds) n.a.
01/2010 W. Bangerth,
M. Geiger,
R. Rannacher
Adaptive Galerkin finite element methods for the wave equation Comput. Meth. Appl. Math. 10, 3--48 (2010) n.a.
01/2010 T. Richter A posteriori error estimation and anisotropy detection with the dual-weighted residual method> Int. J. Num. Meth. Fluids 62 (1), pp. 90-118 (2010) n.a.
xx/2009 J. Joos,
B. Rüger
T. Carraro
A. Weber
E. Ivers-Tiffee
3D Electrode Microstructure Reconstruction and Modelling ECS Trans., 25, 1211-1220 n.a.
2009 G. Kanschat,
E. Meinköhn,
R. Rannacher,
R. Wehrse
The radiative field and its transer equation Numerical Methods in Multidimensional Radiative Transfer (G. Kanschat et al., eds), Springer, Berlin-Heidelberg, 2009 n.a.
2009 R. Rannacher Adaptive FE eigenvalue approximation with application to hydrodynamic stability Proc. Int. Conf. "Mathematical Fluid Mechanics", Estoril, Spain, May 21-25, 2007 (A. Sequeira and R. Rannacher, eds), Springer, Heidelberg, 2009, to appear pdf
12/2009 M. Schmich Adaptive Finite Element Methods for Computing Nonstationary Incompressible Flows PhD Thesis, University of Heidelberg (2009) n.a.
10/2009 D. Meidner,
R. Rannacher,
B. Vexler
A priori error estimates for finite element discretizations of parabolic optimization problems with pointwise state constraints in time accepted for SIAM J. Control Optim. pdf
08/2009 A. V. Fursikov,
R. Rannacher
Optimal neumann control for the 2D steady state Navier-Stokes equations in New Directions in Mathematical Fluid Mechanics (A. V. Fursikov, et al., eds), pp. 193--221, Advances in Mathematical Fluid Mechanics, Birkhaeuser, Basel, 2009. n.a.
07/2009 C. Ortner,
W. Wollner
A priori error estimates for optimal control problems with pointwise constraints on the gradient of the state Numer. Math. 118 (3), S 587-600 (2011) pdf
06/2009 Th. Dunne,
R. Rannacher,
Th. Richter
Numerical simulation of fluid-structure interaction based on monolithic variational formulations in Series "Comtemporary Challenges in Mathematical Fluid Mechanics" (G.P. Galdi, R. Rannacher, eds.), World Scientific, Singapore, to appear 2010. pdf
04/2009 D. Meidner,
R. Rannacher,
J. Vihharev
Goal-oriented error control of the iterative solution of finite element equations Journal of Numerical Mathematics 17, 143 - 172 (2009) pdf
xx/2008 B. Rüger,
J. Joos,
T. Carraro,
V. Heuveline,
E. Ivers-Tiffee
A Numerical Method for the Optimization of MIEC Cathode Microstructures Proc. 8th European Solid Oxide Fuel Cell Forum n.a.
2008 R. Rannacher Adaptive finite element discretization of flow problems for goal-oriented model reduction Computational Fluid Dynamics Review 2008 (M. Hafez and K. Oshima, eds), World Scientific, Singapore, to appear pdf
2008 S. May,
R. Rannacher,
B. Vexler
A priori error analysis for a finite element approximation of elliptic Dirichlet boundary control problems Proc. ENUMATH-2007, Graz 2007 (K. Kunisch et al., eds), 637-644, Springer, Berlin-Heidelberg, 2008 pdf
10/2008 A.V. Fursikov,
R. Rannacher
Optimal Neumann control for the 2D steady state Navier-Stokes equations Series Mathematical Fluid Mechanics, Birkhäuser, Basel pdf
10/2008 H.K. Hesse,
R. Rannacher
Direct versus indirect multiple shooting for nonstationary PDE-based optimization problems Preprint pdf
08/2008 R. Rannacher Adaptive finite element discretization of flow problems for goal-oriented model reduction Proceedings ICCFD, Seoul, July 2008 pdf
05/2008 H. K. Hesse Multiple Shooting and Mesh Adaptation for PDE Constrained Optimization Problems PhD Thesis, University of Heidelberg (2008) n.a.
05/2008 S. May,
R. Rannacher,
B. Vexler
Error analysis for a finite element approximation of elliptic Dirichlet boundary control problems Preprint pdf
03/2008 D. Meidner,
B. Vexler
A priori error estimates for space-time finite element discretization of parabolic optimal control problems. part I: problems without control constraints SIAM J. Control Optim 47, 1150 – 1177 (2008) pdf
03/2008 D. Meidner,
B. Vexler
A priori error estimates for space-time finite element discretization of parabolic optimal control problems. part II: problems with control constraints SIAM J. Control Optim 47, 1301 – 1329 (2008) pdf
02/2008 F. F. Weller Platelet deposition in non-parallel flow. influence of shear stress and changes in surface reactivity J. Math. Biol. 57(3), 333-359 (2008) doi:10.1007/s00285-008-0163-5 pdf
02/2008 W. Wollner A posteriori error estimates for a finite element discretization of interior point methods for an elliptic optimization problem with state constraints Comput. Optim. Appl. 47(1), S 133-159 (2010) pdf
01/2008 D. Meidner Adaptive Space-Time Finite Element Methods for Optimization Problems Governed by Nonlinear Parabolic Systems PhD Thesis, University of Heidelberg (2008) n.a.
01/2008 M. Schmich,
B. Vexler
Adaptivity with dynamic meshes for space-time finite element discretizations of parabolic equations SIAM J. Sci. Comput. 30(1), 369-393 (2008) pdf
01/2008 W. Wollner Adaptive FEM for PDE constrained optimization with pointwise constraints on the gradient of the state PAMM 8, 10873--10874 (2009) pdf
2007 P. Lin, T. Richter An Adaptive Homotopy Multi-grid Method for Molecule Orientations of High Dimensional Liquid Crystals Journal for Computational Physics 255, pp. 2069-2082 (2007) n.a.
2007 R. Bendl,
J. Biederer,
P. Li,
R. Rannacher,
G. Remmert
Nonlinear finite element simulation of target movement of lung in radiotherapy Proc. of the XVth International Conference on the Use of Computers in Radiation Therapy (ICCR) Volume I (J.P. Bissonette, ed.), Oakville, Ontario, Canada: Novel Digital Publishing (2007) 128-132 n.a.
2007 R. Rannacher Methods for numerical flow simulation in Lecture Notes of Oberwolfach Seminar "Hemodynamical Flows: Aspects of Modeling, Analysis and Simoluation", Nov. 20-26, Oberwolfach (G.P. Galdi, R. Rannacher et al., eds.), Birkhäuser, Basel, 2007. pdf
2007 S. Bönisch,
Th. Dunne,
R. Rannacher
Numerics of fluid-structure interaction in Lecture Notes of Oberwolfach Seminar "Hemodynamical Flows: Aspects of Modeling, Analysis and Simoluation", Nov. 20-26, Oberwolfach (G.P. Galdi, R. Rannacher et al., eds.), Birkhäuser, Basel, 2007. pdf
11/2007 A. Griesbaum,
B. Kaltenbacher,
B. Vexler
Efficient computation of the Tikhonov regularization parameter by goal oriented adaptive discretization Inverse Problems 24(2), 025025 (2008), published online pdf
09/2007 T. Dunne Adaptive Finite Element Approximation of Fluid-Structure Interaction Based on Eulerian and Arbitrary Lagrangian-Eulerian Variational Formulations PhD Thesis, University of Heidelberg (2007) n.a.
03/2007 D. Meidner,
B. Vexler
Adaptive space-time finite element methods for parabolic optimization problems SIAM J. Control Optim. 46(1), 116-142 (2007) pdf
02/2007 B. Vexler,
W. Wollner
Adaptive finite elements for elliptic optimization problems with control constraints SIAM J. Control Optim. 47(1), 509-534 (2008) pdf
11/2006 S. Bönisch Adaptive Finite Element Methods for Rigid Particulate Flow Problems PhD Thesis, University of Heidelberg (2006) pdf
05/2006 G. Kanschat,
E. Meinköhn,
R. Wehrse
The radiation field and its transfer equation In "Numerical Methods for Multidimensional Radiative Transfer Problems" (G. Kanschat et al., eds), Springer, Heidelberg, 2009 n.a.
05/2006 R. Rannacher Adaptive solution of PDE-constrained optimal control problems Proc. The 2nd Intern. Conf. on Scientific Computing and Partial Differential Equations (SCPDE05) & The First East Aasia SIAM Symposium, Dec. 12-16, 2005, Hong Kong (Wenbin Liu et al., eds), to appear. pdf
05/2006 R. Rannacher On the adaptive discretization of PDE-based optimization problems In "PDE Constrained Optimization" (M. Heinkenschloss et al., eds), Springer, Heidelberg, 2009 pdf
05/2006 V. Heuveline,
R. Rannacher
Adaptive FEM for eigenvalue problems with application in hydrodynamic stability analysis In "Advances in Numerical Mathematics", Proc. Int. Conf. , Sept. 16-17, 2005, Moscow, Moscow: Institute of Numerical Mathematics RAS, 2006. pdf
04/2006 B. Cockburn,
G. Kanschat,
D. Schötzau
A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations J. Sci. Comput. 74, 1067-1095 (2005) pdf
04/2006 T. Stricker Spectral Model Reduction as Preconditioner and Adaptive Solver Component in Chemical Reaction Systems PhD Thesis, University of Heidelberg (2006) n.a.
04/2006 W. Bangerth,
R. Hartmann,
G. Kanschat
deal.II - a general purpose object oriented finite element library ACM Transactions on Mathematical Software 33(4), 24/1-27 (2007) pdf
01/2006 G. Kanschat Solution of radiative transfer problems with finite elements In "Numerical Methods for Multidimensional Radiative Transfer Problems" (G. Kanschat et al., eds), Springer, Heidelberg, 2009 n.a.
01/2006 M. Braack,
E. Burman,
V. John,
G. Lube
Stabilized finite element methods for the generalized Oseen problem Comput. Methods Appl. Mech. Engrg. 196(4-6), 853-866 (2007) n.a.
01/2006 R. Becker,
D. Meidner,
B. Vexler
Efficient numerical solution of parabolic optimization problems by finite element methods Optim. Methods Softw. 22(5), 813 – 833 (2007) pdf
01/2006 Th. Dunne,
R. Rannacher
Adaptive finite element simulation of fluid structure interaction based on an Eulerian variational formulation In "Fluid-Structure Interaction Modelling, Simulation, Optimization" (H.-J. Bungartz, Michael Schäfer, eds.) Springer, Berlin, 2006. pdf
5/2005 M. Braack,
T. Richter
Stabilized finite elements for 3D reactive flows Int. J. Numer. Meth. Fluids 51(9-10), 981-999 (2005) pdf
2005 R. Rannacher Duality techniques for error estimation and mesh adaptation in finite element methods Proc. CISM-Course Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics, Udine, Oct. 4-8, 1999 (E. Stein, ed.), pp. 1-58, Springer Wien-New York, 2005 n.a.
12/2005 M. Braack Anisotropic H1-stable projections on quadrilateral meshes In Proceedings of ENUMATH 2005, Santiago de Compostela, Spain, July 2005 (Bermúdez de Castro, A. et al., eds.), Springer, 2006 n.a.
12/2005 M. Braack,
T. Richter
Local projection stabilization for the Stokes system on anisotropic quadrilateral meshes In Proceedings of ENUMATH 2005, Santiago de Compostela, Spain, July 2005 (Bermúdez de Castro, A. et al., eds.), Springer, 2006 n.a.
11/2005 G. Kanschat,
E. Meinköhn,
R. Rannacher,
R. Wehrse
Numerical methods for multidimensional radiative transfer problems In "Reactive Flows, Diffusion and Transport" (J. Jäger et al., eds.), Springer, Berlin, 2006 pdf
11/2005 Th. Carraro,
V. Heuveline,
R. Rannacher
Determination of kinetic parameters in laminar flow reactors. I. theoretical aspects In "Reactive Flows, Diffusion and Transport" (J. Jäger et al., eds.), Springer, Berlin, 2006 pdf
11/2005 R. Becker,
Th. Dunne
VisuSimple: An interactive open source visualization utility for scientific computing In "Reactive Flows, Diffusion and Transport" (J. Jäger et al., eds.), Springer, Berlin, 2006 pdf
10/2005 S. Bönisch,
V. Heuveline
Advanced flow visualization with HiVision In "Reactive Flows, Diffusion and Transport" (J. Jäger et al., eds.), Springer, Berlin, 2006 pdf
10/2005 T. Carraro Parameter Estimation and Optimal Experimental Design in Flow Reactors PhD Thesis, University of Heidelberg (2005) n.a.
08/2005 M. Braack,
H. Paillere
et al.
Modelling of natural convection flows with large temperaure differences: a benchmark problem for low Mach number solvers. part 2. contributions to the june 2004 conferenc M2AN 39(3), 616-621 (2005) n.a.
08/2005 R. Becker,
M. Braack,
P. Le Quere
et al.
Modelling of natural convection flows: a benchmark problem for low Mach number solvers. part 1. reference solutions M2AN 39(3), 609-616 (2005) n.a.
07/2005 M. Braack,
T. Richter
Solving multidimensional reactive flow problems with adaptive finite elements In "Reactive Flows, Diffusion and Transport" (J. Jäger et al., eds.), Springer, Berlin, 2006 pdf
07/2005 R. Becker,
M. Braack,
R. Rannacher,
T. Richter
Mesh and model adaptivity for flow problems In "Reactive Flows, Diffusion and Transport" (J. Jäger et al., eds.), Springer, Berlin, 2006 pdf
06/2005 E. Meinköhn A general-purpose finite element method for 3D radiative transfer problems in moving media In "Numerical Methods for Multidimensional Radiative Transfer Problems" (G. Kanschat et al., eds), Springer, Heidelberg, 2009 n.a.
06/2005 R. Becker,
M. Braack,
T. Richter
Parallel multigrid on locally refined meshes In "Reactive Flows, Diffusion and Transport" (J. Jäger et al., eds.), Springer, Berlin, 2006 pdf
06/2005 T. Richter Parallel Multigrid Method for Adaptive Finite Elements with Application to 3D Flow Problems PhD Thesis, University of Heidelberg (2005) pdf
05/2005 M. Braack Solution of complex flow problems: mesh- and model adaptation with stabilized finite elements Habilitation Thesis, University of Heidelberg (2005) n.a.
05/2005 Th. Dunne An Eulerian approach to fluid-structure interaction and goal-oriented mesh refinement In Proc. "Finite Elements for Flow Problems (FEF05)", IACM Special Interest Conference; Int. J. Numer. Meth. Fluids 51, 1017-1039 (2006) pdf
03/2005 R. Becker,
M. Braack,
D. Meidner,
R. Rannacher,
B. Vexler
Adaptive finite element methods for PDE-constrained optimal control problems In "Reactive Flows, Diffusion and Transport" (J. Jäger et al., eds.), Springer, Berlin, 2006 pdf
01/2005 G. Kanschat,
E. Meinköhn,
R. Rannacher,
R. Wehrse
Numerical methods for multidimensional radiative transfer In "Reactive Flows, Diffusion and Transport" (J. Jäger et al., eds.), Springer, Berlin, 2006 pdf
2004 B. Cockburn,
G. Kanschat,
D. Schötzau
A locally conservative LDG method for the incompressible Navier-Stokes equations Mathematics of Computation 74(251), 1067-1095 (2005) pdf
2004 B. Dietz,
A. Heine,
V. Heuveline,
A. Richter
Test of new numerical approach to the quantifization of billiards Physical Review E. E71, 026703 (2005) pdf
2004 G. Kanschat Block preconditioners for LDG discretizations of linear incompressible flow problems J. Sci. Comput. 22(1), 381-394 (2005) pdf
2004 G. Kanschat Multi-level methods for discontinuous Galerkin FEM on locally refined meshes Comput. & Struct. 82(28), 2437-2445 (2004) pdf
2004 G.P. Galdi,
V. Heuveline
Lift and sedimentation of particles in the flow of a viscoelastic liquid in a channel Proc. Workshop "Free and Moving Boundaries: Analysis, Simulatiion and Control", Dec. 2-4, 2004, Houston TX, USA (R. Glowinski and J. P. Zolesio, eds), 2006 pdf
2004 M. Braack,
E. Burman
Local projection stabilization for the Oseen problem and its interpretation as a variational multiscale method SIAM J. Numer. Anal. 43(6), 2544-2566 (2004) pdf
2004 R. Becker,
M. Braack,
B. Vexler
Numerical parameter estimation for chemical models in multidimensional reactive flows Combustion Theory and Modelling 8(4), 661-682 (2004) pdf
2004 R. Becker,
M. Braack
A two-level stabilization scheme for the Navier-Stokes equations Proc. ENUMATH 2003, Prague, Czech Republic, August 18-22, 2003, (Feistauer, M. et al., eds.), pp. 123-130, Springer Heidelberg, 2004 pdf
2004 R. Rannacher Incompressible viscous flow Encyclopedia of Computational Mechanics (E. Stein, R. de Borst, T.J.R. Hughes, eds), Volume 3 'Fluids', John Wiley, Chichester, 2004 n.a.
2004 S. Bönisch,
V. Heuveline,
P. Wittwer
Second order adaptive boundary conditions for exterior flow problems: non-symmetric stationary flows in two dimensions J. Math. Fluid Mech. 10(1), 45-70 (2006) pdf
2004 S. Bönisch,
V. Heuveline
On the numerical simulation of the free fall of a solid in a fluid. I. the viscoelastic case Technical report pdf
2004 S. Bönisch,
V. Heuveline
On the numerical simulation of the instationary free fall of a solid in a fluid. I. the Newtonian case Comput. Fluids 36(9), 1434--1445 (2007) pdf
2004 V. Heuveline,
F. Schieweck
H1 interpolation on quadrilaterals and hexaedral meshes with hanging nodes Computing, 80, 203--220 (2007) pdf
2004 V. Heuveline,
F. Schieweck
On the Inf-Sup condition for higher order mixed FEM on meshes with hanging nodes M2AN, 41(1), 1-20 (2007) pdf
11/2004 S. Bönisch,
V. Heuveline,
R. Rannacher
On the numerical simulation of the free fall problem Proc. Int. Conf. High Performance Scientific Computing, March 10-14, 2003, Hanoi, Vietnam (H.G. Bock et al., eds), pp. 47-56, Springer, Heidelberg, 2005 pdf
10/2004 M. Braack,
T. Richter
Solutions of 3D Navier-Stokes benchmark problems with adaptive finite elements Computers and Fluids 35(4), 372-392 (2006) pdf
08/2004 G. Kanschat,
E. Meinköhn
Multi-model preconditioning for radiative transfer problems Preprint 2004-33, SFB 359, Heidelberg, 2004 pdf
07/2004 R. Rannacher,
B. Vexler
A priori error estimates for the finite element discretization of elliptic parameter identification problems with pointwise measurements SIAM J. Control and Optimization 44, 1844-1863 (2005) pdf
06/2004 M. Braack,
R. Rannacher,
M. Schmich
A computational study of a splitting scheme for weakly compressible stationary viscous flow Preprint pdf
05/2004 E. Meinköhn A general-purpose finite element method for 3D line transfer problems with application on galaxies in the early universe Proc. Int. Conf. High Performance Scientific Computing, March 10-14, 2003, Hanoi, Vietnam (H.G. Bock et al., eds), pp. 341-354, Springer, Heidelberg, 2005. pdf
02/2004 B. Vexler Adaptive Finite Element Methods for Parameter Identification Problems PhD Thesis, University of Heidelberg (2004) n.a.
2003 B. Cockburn,
G. Kanschat,
D. Schoetzau
The local discontinous Galerkin method for incompressible fluid flow: a review Comput. & Fluids 34(4-5), 491-506 (2005) pdf
2003 S. Bönisch,
V. Heuveline,
P. Wittwer
Adaptive boundary conditions for exterior flow problems J. Math. Fluid Mech. 7, 85-107 (2005) pdf
2003 S. Bönisch,
V. Heuveline
HiVision, an advanced framework for flow visualization Techn. Report, Institut für Angewandte Mathematik, Universität Heidelberg pdf
2003 V. Heuveline,
R. Rannacher
A numerical tool for flow simulation in a Wankel motor Mathematics - Key Technology for the Future (W. Jäger, H.-J. Krebs, eds), pp. 33-42, Springer, 2003 n.a.
2003 V. Heuveline,
R. Rannacher
Adaptive FEM for eigenvaulue problems In Proc. ENUMATH-01 (F. Brezzi et al., eds), pp. 713-722, Springer Italia, Milano, 2003 n.a.
09/2003 M. Braack,
A. Ern
Adaptive computation of reactive flows with local mesh refinement and model adaptation Proc. ENUMATH 2003, Prague, Czech Republic, August 18-22, 2003, (Feistauer, M. et al., eds.), pp. 159-168, Springer Heidelberg, 2004 n.a.
09/2003 V. Heuveline,
R. Rannacher
Duality-based adaptivity in the hp-finite element method J. Numer. Math. 11, 95-103 (2003) pdf
07/2003 H. Buss A posteriori Error Estimators based on Duality Techniques from the Calculus of Variations PhD Thesis, University of Heidelberg (2003) n.a.
2002 G. Kanschat Preconditioning methods for local discontinous Galerkin discretizations SIAM J. Sci. Comput. 25(3), 815-831(2002) pdf
2002 M. Braack,
A. Ern
A posteriori control of modeling errors and discretization errors SIAM J. Multiscale Modeling and Simulation 1(2), 221-238 (2003) pdf
2002 R. Becker,
B. Vexler
A posteriori error estimation for finite element discretization of parameter identification problems Numerische Mathematik 96, 435-459 (2004) pdf
2002 R. Becker,
P. Hansbo,
M. Larson
Energy norm a posteriori error estimation for discontinous Galerkin methods Comput. Methods Appl. Mech. Eng. 192, 723-733 (2003) pdf
2002 R. Hartmann,
P. Houston
Goal-oriented a posteriori error estimation for multiple target functionals Proc. of the Ninth International Conference on Hyperbolic Problems, Pasadena, March 25-29, 2002 (Hou, Thomas Y. et al,. eds.), Springer. 579-588 (2003) n.a.
12/2002 G. Kanschat,
R. Rannacher
Local error analysis of the interior penalty discontinous Galerkin method for second order elliptic problems J. Numer. Math. 4, 249-274 (2002) pdf
11/2001 R. Becker,
V. Heuveline,
R. Rannacher
An optimal control approach to adaptivity in computational fluid mechanics Int. J. Numer. Meth. Fluids. 40, 105-120 (2002) n.a.
10/2002 E. Meinköhn Modelling Three Dimensional Radiation Fields in the Early Universe PhD Thesis, University of Heidelberg (2002) pdf
06/2002 E. Meinköhn,
S. Richling
Radiative transfer with finite elements. II. ly$\alpha$ line transfer in moving media. Astron. and Astrophys. 392, 827-839 (2002) pdf
06/2002 R. Hartmann Adaptive Finite Element Methods for the Compressible Euler Equations PhD Thesis, University of Heidelberg (2002) pdf
06/2002 W. Bangerth Adaptive Finite Element Methods for the Identification of Distributed Parameters in Partial Differential Equations PhD Thesis, University of Heidelberg (2002) n.a.
04/2002 R. Rannacher,
F.-T. Suttmeier
Error estimation and adaptive mesh design for FE models in elasto-plasticity in “Error-Controlled Adaptive FEMs in Solid Mechanics (E. Stein, ed.), pp. 5--52, John Wiley, Chichster, 2002. n.a.
01/2002 R. Rannacher Adaptive finite element methods for partial differential equations Proc. Int. Congr. of Mathematicians (ICM 2002), Beijing, China, August 20-28, 2002 (L.I. Tatsien, ed.), Vol. III, pp. 717--726, High Education Press, Beijing, 2003. pdf
2001 M. Braack A finite element method for subsonic viscous flows:I. the stationary case Preprint, Institut fuer Angewandte Mathematik, 2001, 32 pdf
2001 R. Becker,
M. Braack,
V. Heuveline,
R. Rannacher
Efficient numerical methods for the simulation of flow reactors Proc. Fourth Int. Conf. Modeling and Simulation of Microsystems, March, 19-21, 2001, Hilton Head Island, South California, USA n.a.
2001 R. Becker,
R. Rannacher
Error control for model reduction by discretization in optimal control of flows In "Topics in Mathematical Fluid Mechanics" (G.P. Galdi, R. Rannacher, eds), pp. 34-39, Quaderni di Matematica 10, 2003. pdf
2001 R. Hartmann,
P. Houston
Adaptive discontinous Galerkin finite element methods for the compressible Euler equations J. Comput. Phys. 183(2), 508-532 (2002) pdf
2001 R. Hartmann,
P. Houston
Adaptive discontinuous Galerkin finite element methods for nonlinear hyperbolic conservation laws SIAM J. Sci. Comput. 24(3), 979-1004 (2002) pdf
2001 R. Rannacher An adaptive finite element methods for flow problems Proc. ISCFD99, Bremen, Sept. 5-10, 1999, (K. Oshima, ed.), Special Issue of Comput. Fluid Dynamics J., 35-48 (2001) n.a.
2001 V. Heuveline On higher-order mixed FEM for low Mach number flows: application to a natural convection benchmark problem Int. J. Numer. Meth. Fluids 41, 1339-1356 (2003) pdf
2001 V. Heuveline On the computation of a very large number of eigenvalues for selfadjoint elliptic operators by means of multigrid methods. J. Comp. Physics 184, 321-337 (2003) pdf
2001 V. Heuveline,
R. Rannacher
A posteriori error control for finite element approximations of elliptic eigenvalue problems Advances in Comput. Math. 15, 1-32 (2001) pdf
11/2001 C. Waguet Adaptive Finite Element Computation of Chemical Flow Reactors PhD Thesis, University of Heidelberg (2001) n.a.
11/2001 H. Oswald Parallele Lösung der instationaeren inkompressiblen Navier-Stokes Gleichungen PhD Thesis, University of Heidelberg (2001) n.a.
10/2001 M. Braack,
S. Parmentier,
U. Riedel,
J. Warnatz
Modeling of combustion in a lamella burner Combustion Science and Technology 175(1), 185-206 (2003) pdf
10/2001 G. Kanschat,
N. Kryzhevoi,
E. Meinköhn,
S. Richling
Radiative transfer with finite elements: I. basic method and test Astron. and Astrophys. 380, 776-788 (2001) pdf
08/2001 R. Becker,
R. Rannacher
An optimal control approach to a posteriori error estimation in finite element methods. Acta Numerica 2000 (A. Iserles, ed.), pp. 1-102, Cambridge University Press, 2001. pdf
M. Braack Adaptive finite elements for stationary compressible flows at low Mach number 8. Int. Conf. on Hyperbolic Problems: theory, numerics, applications, ed.: Freistühler and Warnecke, ISNM vol. 140, Birkhäuser, 2001, p. 169-178 n.a.
2002 P. Houston,
R. Rannacher,
E. Süli
A posteriori error analysis for stabilised finite element approximations of transport problems Comput. Meth. Appl. Mech. Engrg. 190, 1483-1508 (2000) n.a.
2000 H. Buss Finite element methods for variational problems based on nonconforming dual mixed discretisations East-West J. Numer. Math. 9, 77-98 (2001) pdf
2000 H. Buss On the implementation of multilevel solvers for constrained variational problems in dual formulation ISNM, Int. Ser. Numer. Math. 138, 58-72 (2001) pdf
2000 J. Gopalakrishnan,
G. Kanschat
A multilevel discontinuous Galerkin method Numer. Math. 95, 527-550 (2003) pdf
2000 R. Becker An optimal-control approach to a posteriori error estimation for finite element discretizations of the Navier-Stokes equations East-West J. Numer. Math. 8(4), 257-274 (2000) pdf
2000 R. Becker Mesh adaptation for stationary flow control J. Math. Fluid Mech. 3(4), 317-341 (2001) pdf
2000 R. Becker,
M. Braack,
R. Rannacher
Adaptive finite element methods for flow problems In Foundations of Computational Mathematics (R.A. DeVore, A. Iserles, E. Süli, eds), pp. 21-44, Cambridge University Press, 2001. pdf
2000 R. Becker,
M. Braack,
R. Rannacher
Numerical simulation of chemical reacting flows Proc. Workshop of Interdisciplinary Design and Simulation Tools for Micro- and Biomedical Fluid Applications, IMM, 2000 n.a.
2000 R. Becker,
M. Braack
A modification of the least-squares stabilization for the Stokes equations Calcolo 38(4), 173-199 (2001) pdf
2000 R. Becker,
M. Braack
Multigrid techniques for finite elements on locally refined meshes Numerical Linear Algebra with Applications 7, 363-379 (2000) pdf
2000 R. Becker,
M. Braack
Solution of a benchmark problem for natural convection at low Mach number Int. Journal of Thermal Sciences 41, 428-439 (2002) pdf
2000 R. Rannacher The dual-weighted-residual method for error control and mesh adaptation in finite element methods Proc. MAFELAP 1999 (J.R. Whiteman, ed), pp. 97-116, Elsevier, Amsterdam, 2000 n.a.
2000 R. Rannacher,
F.-T. Suttmeier
Error estimation and adaptive mesh design for FE models in elasto-plasticity In “Error-Controlled Adaptive FEMs in Solid Mechanics (E. Stein, ed.), pp. 5--52, John Wiley, Chichster, 2002. pdf
2000 C. Bertsch,
V. Heuveline
On multigrid methods for the eigenvalue computation of nonselfadjoint elliptic operators East-West J. Numer. Math. 8, 275-297 (2000) pdf
10/2001 H. U. Kapp Adaptive Finite Element Methods for Optimization in Partial Differential Equations PhD Thesis, University of Heidelberg (2000) n.a.
07/2000 R. Rannacher Adaptive Galerkin finite element methods for partial differential equations J. Comput. Appl. Math. 128, 205-233 (2001) n.a.
05/2000 A. Hujeirat,
R. Rannacher
On the efficiency and robustness of implicit methods in computational astrophysics New Astronomy Reviews 45, 425-447 (2000) n.a.
02/2000 W. Bangerth,
R. Rannacher
Adaptive finite element techniques for the acoustic wave equation J. Comput. Acoustics 9, 575-591 (2001) n.a.
1999 H. Buss,
S. Repin
A posteriori error computation for an obstacle problem Proc. ENUMATH 1999, Jyväskylä, Finland (P. Neittaanmäki et al., eds), Springer, 2000 pdf
1999 M. Braack,
R. Rannacher
Adaptive finite element methods for low Mach number flows with chemical reactions In 30th Computational Fluid Dynamics (H. Deconinck, ed.), Volume 1999-03, Lecture Series, von Karman Institute of Fluid Dynamics, Brussels, 1999. pdf
1999 P. Houston,
R. Rannacher,
E. Süli
A posteriori error analysis for stabilized finite element approximations of transport problems Comput. Meth. Appl. Mech. Engrg. 190, 1483-1508 (2000) pdf
1999 R. Becker,
M. Braack,
R. Rannacher,
C. Waguet
Fast and reliable solution of the Navier-Stokes equations including chemistry Comput. Visual. Sci. 2, 107-122 (1999) pdf
1999 R. Becker,
M. Braack,
R. Rannacher
Numerical simulation of laminar flames at low Mach number by adaptive finite elements Combust. Theory Modelling 3, 503-534 (1999) pdf
1999 R. Becker,
M. Braack,
R. Rannacher
On error control for reactive flow problems Scientific Computing in Chemical Engineering II, Computational Fluid Dynamics, Reaction Engineering, and Molecular Properties, Vol. 1, 1999, p. 320-327, Springer Berlin n.a.
1999 R. Rannacher Adaptive Galerkin finite element methods for partial differential equations J. Comput. Appl. Math. 128, 205-233 (2001). pdf
1999 R. Rannacher Finite element methods for the incompressible Navier-Stokes equations In Fundamental Directions in Mathematical Fluid Mechanics (P. Galdi, J. Heywood, and R. Rannacher, eds.), pp. 191-293, Birkhäuser, Basel, 2000. pdf
1999 W. Bangerth,
R. Rannacher
Finite element approximation of the acoustic wave equation: error control and mesh refinement East-West J. Numer. Math. 7, 263-282 (1999) pdf
08/1999 R. Becker,
H. Kapp,
R. Rannacher
Adaptive finite element methods for optimization problems Proc. Conf. Numer. Analysis 1999 (D.F. Griffiths and G.A. Watson, eds.), pp. 21-42, Chapman&Hall/CRC, London, 2000. pdf
04/1999 G. Kanschat,
E. Meinköhn,
R. Wehrse
Recent work in Heidelberg on the solution of the radiative transfer In: Stee, P. (ed.) Radiative Transfer and Hydrodynamics in Astrophysics. EAS Publication Series, Vol. 5, p. 13--30 (2002) pdf
01/1999 F.-K. Hebeker,
R. Rannacher
An adaptive finite element method for unsteady convection-dominated flows with stiff source terms SIAM J. Sci. Comput. 21, 799-818 (1999) n.a.
01/1999 R. Becker,
H. Kapp,
R. Rannacher
Adaptive finite element methods for optimal control of partial differential equations: basic concepts SIAM J. Optimization Control 39, 113-132 (2000) pdf
1999 R. Rannacher,
F.-T. Suttmeier
A posteriori error estimation and mesh adaptation for finite element models in elasto-plasticity Comput. Methods Appl. Mech. Engrg. 176, 333-361 (1999) n.a.
1998 A. Hujeirat,
R. Rannacher
A method for computing compressible, highly stratified flows in astrophysics based on operator splitting Int. J. Numer. Meth. Fluids 28, 1-22 (1998) n.a.
1998 F.-T. Suttmeier An adaptive displacement/pressure finite element scheme for treating incompressibility effects in elasto-plastic materials Numer. Methods Partial Differ. Equations 17(4), 369-382 (2001) n.a.
1998 G. Kanschat A robust finite element discretization for radiative transfer problems with scattering East-West J. Numer. Math. 6, 265-272 (1998) pdf
1998 G. Kanschat,
F.-T. Suttmeier
A posteriori error estimates for nonconforming finite element schemes Calcolo 36, 129-141 (1999) pdf
1998 M. Braack An Adaptive Finite Element Method for Reactive-Flow Problems PhD Thesis, University of Heidelberg (1998) pdf
1998 R. Becker,
M. Braack,
R. Rannacher,
J. Warnatz
An adaptive finite element method for combustion problems Proc. 3rd. Summer Conf. Numer. Modelling in Cont. Mechanics, Prague, p. 91-100 pdf
1998 M. Schäfer,
S. Turek,
R. Rannacher
Evaluation of a CFD benchmark for laminar flows Proc. ENUMATH-97, Heidelberg, Sept. 28 - Oct.3, (H. G. Bock, et al., eds.), pp. 549-563, World Scientific Publ., Singapore, 1998. n.a.
1998 R. Becker Weighted error estimators for finite element approximations of the incompressible Navier-Stokes equations Rapport de Recherche RR-3458, INRIA Sophia-Antipolis (1998) n.a.
1998 R. Becker,
H. Kapp
Optimization in PDE models with adaptive finite element discretization Proc. ENUMATH-97, Sept. 28 - Oct. 3, 2007, Heidelberg (H. G. Bock et al., eds), pp. 147-155, World Scientific, Singapore, 2008. pdf
1998 R. Rannacher Error control in finite element computations Proc. NATO-Summer School “Error Control and Adaptivity in Scientific Computing”, Antalya, Turkey, Aug. 9-12, 1998 (H. Bulgak, C. Zenger, eds.), pp. 247-278, NATO Science Series, Kluwer Academic Publ., Dortrecht/Boston/London, 1999. pdf
07/1998 G. Nabh On High Order Methods for the Stationary Incompressible Navier-Stokes Equations PhD Thesis, University of Heidelberg (1998) pdf
1998 R. Rannacher A posteriori error estimation in least-squares stabilized finite element schemes Comput. Meth. Appl. Mech. Engrg. 166, 99-114 (1998) n.a.
1997 F.-T. Suttmeier Adaptive Finite Element Approximation of Problems in Elasto-Plasticity Theory PhD Thesis, University of Heidelberg (1997) n.a.
1997 R. Rannacher,
F.-T. Suttmeier
A posteriori error control and mesh adaptation in elasticity and elasto-plasticity Proc. Workshop “Advances in Adaptive Computational Methods in Mechanics”, Cachan, Sept. 17-19, 1997 (P. Ladeveze and T. Oden, eds.), pp. 275-292, Elsevier, 1998. n.a.
12/1997 A. Grimmer A Comparative Study of Transport-Oriented Discretizations of Convection-dominated Problems with Application to the Incompressible Navier-Stokes Equations PhD Thesis, University of Heidelberg (1997) n.a.
08/1997 C. Führer,
R. Rannacher
An adaptive streamline-diffusion finite element method for hyperbolic conservation laws East-West J. Numer. Math. 5, 145-162 (1997) n.a.
01/1997 Ch. Fuehrer A Posteriori Error Control for the Numerical Approximation of Hyperbolic Problems PhD Thesis, University of Heidelberg (1997) n.a.
00/1998 R. Rannacher,
F.-T. Suttmeier
A posteriori error control in finite element methods via duality techniques: application to perfect plasticity Computational Mechanics 21, 123-133 (1998) n.a.
R. Becker,
M. Braack,
R. Rannacher
Adaptive finite elements for reactive flows In Proceedings ENUMATH-97, Heidelberg 1997, (H.G. Bock et al., eds.), p. 206-213, WorldScientific Publ., Singapore, 1998 n.a.
1996 A. Hujeirat,
R. Rannacher
A method for computing compressible, highly stratified flows in astrophysics based on operator splitting Int. J. Numer. Meth. Fluids 28, 1-22 (1998) n.a.
1996 A. Prohl Projektions- und Quasi-Kompressibilitätsmethoden zur Lösung der inkompressiblen Navier-Stokes-Gleichungen PhD Thesis, University of Heidelberg (1996) n.a.
1996 Böttcher,
R. Rannacher
Adaptive error control in solving ordinary differential equations by the discontinuous Galerkin method Report, Institute of Applied Mathematics, University of Heidelberg, 1996. n.a.
1996 C. Führer,
R. Rannacher
Error analysis for the finite element approximation of a radiative transfer model M2AN Math. Model. Numer. Anal. 30, 743-762 (1996) n.a.
1996 G. Kanschat Parallel and Adaptive Galerkin Methods for Radiative Transfer Problems PhD Thesis, University of Heidelberg (1996) pdf
1996 T. Dreier,
C. Orlemann,
R. Rannacher,
J. Segatz,
J. Wichmann,
J. Wolfrum
Detailed numerical simulations in flow reactors - a new approach in measuring absolute rate constants J. Physical Chemistry 100(22), 9323-9333 (1996) n.a.
1996 R. Becker,
R. Rannacher
A feed-back approach to error control in finite element methods: basic analysis and examples East-West J. Numer. Math. 4, 237-264 (1996) pdf
1996 R. Becker,
R. Rannacher
Weighted a posteriori error control in FE methods Lecture ENUMATH-95, Paris, Sept. 18-22, 1995, in: Proc. ENUMATH-97, Heidelberg, Sept. 28 - Oct.3, 1997 (H.G. Bock, et al., eds.), pp. 621-637, World Scientific Publ., Singapore, 1998. pdf
1996 R. Rannacher,
G. Zhou
Pointwise superconvergence of the streamline diffusion finite element method Numer. Meth. Part. Diff. Equ. 12, 123-145 (1996) n.a.
11/1996 R. Rannacher,
F.-T. Suttmeier
A feed-back approach to error control in finite element methods: application to linear elasticity Computational Mechanics 19, 434-446 (1997) n.a.
04/1996 P. Schreiber Eine nichtkonforme Finite-Elemente-Methode zur Löesung der inkompressiblen 3D Navier-Stokes-Gleichungen PhD Thesis, University of Heidelberg (1996) n.a.
03/1996 G. Nabh,
R. Rannacher
A comparative study of nonlinear Galerkin finite element methods for dissipative evolution problems East-West J. Numer. Math. 5, 113-144 (1997) pdf
1995 C. Führer,
G. Kanschat
A posteriori error control in radiative transfer Computing 58, 317-334 (1995) n.a.
1995 R. Becker,
C. Johnson,
R. Rannacher
Adaptive error control for multigrid finite element methods Computing 55, 271-288 (1995) n.a.
11/1995 R. Becker An Adaptive Finite Element Method for the Incompressible Navier-Stokes Equations on Time-dependent Domains PhD Thesis, University of Heidelberg (1995) pdf
05/1995 E. Gehrke Parallele Methoden zur numerischen Simulation reaktiver Strömungen am Beispiel laminarer Diffusionsflammen PhD Thesis, University of Heidelberg (1995) n.a.
04/1995 J. Segatz Simulation und Optimierung von laminaren Strömungsreaktoren PhD Thesis, University of Heidelberg (1995) n.a.
1994 A. Hujeirat,
R. Rannacher
An operator splitting approach for computing compressible flows in astrophysics Proc. Workshop Numerical Methods for the Navier-Stokes equiations (F.-K. Hebeker, R. Rannacher, G. Wittum, eds.), Heidelberg, Oct. 25-28, 1993, pp. 121-132, NNFM 47, Vieweg, 1994. n.a.
1994 C. Johnson,
R. Rannacher
On error control in CFD Proc. Workshop “Numerical Methods for the Navier-Stokes equiations” (F.-K. Hebeker, R. Rannacher, G. Wittum, eds.), Heidelberg, Oct. 25-28, 1993, pp. 133-144, NNFM 47, Vieweg, 1994. n.a.
1994 J. G. Heywood,
R. Rannacher,
S. Turek
Artificial boundaries and flux and pressure conditions for the incompressible Navier-Stokes equations Int. J. Comput. Fluid Mech. 22, 325-352 (1996) n.a.
1994 R. Becker,
R. Rannacher
Finite element solution of the incompressible Navier-Stokes equations on anisotropically refined meshes Proc. 10th GAMM-Seminar Fast Solvers for Flow Problems, Kiel, Jan. 14-16, 1994, (W. Hackbusch, G. Wittum, eds.), pp. 52-62, NNFM, Vol. 49, Vieweg, 1995. n.a.
1994 R. Rannacher,
H. Zhou
Analysis of a domain-splitting method for nonstationary convection-diffusion problems East-West J. Numer. Math. 2, 151-172 (1994) n.a.
03/1994 J. Jaeger Eine überlappende Gebietszerlegungsmethode zur Parallelisierung der Lösung von parabolischen Differentialgleichungen PhD Thesis, University of Heidelberg (1994) n.a.
01/1994 S. Mueller-Urbaniak Eine Analyse des Zwischenschritt-Theta-Verfahrens zur Lösung der instationären Navier-Stokes-Gleichungen PhD Thesis, University of Heidelberg (1994) n.a.
1993 M. Boman,
C. Johnson,
R. Rannacher
Numerics and hydrodynamic stability: towards error control in CFD SIAM J. Numer. Anal. 32, 1058-1079 (1995) n.a.
1993 R. Rannacher,
G. Zhou
Mesh orientation and anisotropic refinement in the streamline diffusion method Proc. “Finite Element Methods: Fifty Years of the Courant Element”, Jyväskylä, September 1993 (P. Neittaanmäki, et al., eds.), pp. 491-500, Marcel Dekker, 1994. n.a.
1993 H. Chen,
R. Rannacher
Local error expansions and Richardson extrapolation for the streamline diffusion finite element method East-West J. Numer. Math. 1, 253-265 (1993) n.a.
1993 H. Chen,
R. Rannacher
Superconvergence properties of finite element schemes for the Navier-Stokes problem Preprint 93-37(SFB 359), IWR University of Heidelberg, July 1993. n.a.
1993 R. Rannacher Domain decomposition in the nonstationary streamline diffusion finite element method Proc. Finite Element Methods: Fifty Years of the Courant Element, Jyväskylä, September 1993 (P. Neittaanmäki, et al., eds.), pp. 367-380, Marcel Dekker, 1994. n.a.
1993 R. Rannacher,
G. Zhou
Mesh adaptation via a predictor-corrector strategy in the streamline diffusion method for nonstationary hyperbolic systems Proc. GAMM Seminar Adaptive Methods, Kiel 1993 (W. Hackbusch, G. Wittum, eds.), pp. 236-250, NNFM, Vol. 46, Vieweg, 1994. n.a.
11/1993 A. Hujeirat A Numerical Approach Toward Steady State Solutions in Boundary Layers in Astrophysics PhD Thesis, University of Heidelberg (1993) n.a.
03/1993 H. Chen An L^2- and L^{\infty} Error Analysis for Parabolic Finite Element Equations with Applications to Superconvergence and Error Expansions PhD Thesis, University of Heidelberg (1993) n.a.
03/1993 T. Dreyer Lineare und nichtlineare Mehrgitterverfahren für die Navier-Stokes-Gleichungen. Modellanalyse des Brownschen Verfahrens für schwachbesetzte Gleichungssysteme PhD Thesis, University of Heidelberg (1993) n.a.
1992 J. G. Heywood,
R. Rannacher
On the question of turbulence modeling by approximate inertial manifolds and the nonlinear Galerkin method SIAM J. Numer. Anal. 30, 1603-1621 (1993) n.a.
10/1992 G. Zhou An Adaptive Streamline Diffusion Finite Element Method for Hyperbolic Systems in Gas Dynamics PhD Thesis, University of Heidelberg (1992) n.a.
08/1991 S. Turek Ein robustes und effizientes Mehrgitterverfahren zur Lösung der instationären inkompressiblen 2D Navier-Stokes-Gleichungen mit diskret divergenzfreien finiten Elementen PhD Thesis, University of Heidelberg (1991) n.a.
07/1991 J. Harig Eine robuste und effiziente Finite-Elemente-Methode zur Lösung der inkompressiblen 3D Navier-Stokes-Gleichungen auf Vektorrechnern PhD Thesis, University of Heidelberg (1991) n.a.