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Arbeitsgruppe 3: Wissenschaftliches Rechnen

Sekretariat
Kollegiengebäude Mathematik (20.30)
Zimmer 3.039

Adresse
Hausadresse:
Zimmer 3.039
Englerstr. 2
Kollegiengebäude Mathematik (20.30)
76131 Karlsruhe

Postadresse:
Karlsruher Institut für Technologie (KIT)
Fakultät für Mathematik
Institut für Angewandte und Numerische Mathematik
Arbeitsgruppe 3: Wissenschaftliches Rechnen
Englerstr. 2
Kollegiengebäude Mathematik (20.30)
D-76131 Karlsruhe

Öffnungszeiten:
Mo-Do 9-12 Uhr

Tel.: 0721 608 42062

Fax.: 0721 608 43197

Publikationen

2019

K. Schulz, L. Wagner, C. Wieners:
A mesoscale continuum approach of dislocation dynamics and the approximation by a Runge-Kutta discontinuous Galerkin method.
To appear in: International Journal of Plasticity

J. Ernesti, C. Wieners: Space-time discontinuous {P}etrov-{G}alerkin methods for linear wave equations in heterogeneous media.
To appear in J. Comput. Methods Appl. Math.

W. Dörfler, S. Findeisen, C. Wieners, D. Ziegler: Parallel adaptive discontinuous Galerkin discretizations in space and time for linear elastic and acoustic waves
To appear in: Space-Time Methods. Applications to Partial Differential Equations, ed. U. Langer, O. Steinbach, Radon Series on Computational and Applied Mathematics 21, de Gruyter 2019

J. Ernesti, C. Wieners: A space-time discontinuous Petrov-Galerkin method for acoustic waves.
To appear in: Space-Time Methods. Applications to Partial Differential Equations, ed. U. Langer, O. Steinbach, Radon Series on Computational and Applied Mathematics 21, de Gruyter 2019

R. Shirazi Nejad, C. Wieners: Parallel inelastic heterogeneous multiscale simulations.
In: Multi-scale Simulation of Composite Materials. Springer, Berlin, Heidelberg, 2019. 57-96.

2018

H.R. Bayat, J. Krämer, L. Wunderlich, S. Wulfinghoff, S. Reese, B. Wohlmuth, C. Wieners: Numerical evaluation of discontinuous and nonconforming finite element methods in nonlinear solid mechanics.
Computational Mechanics, 1-15 (2018)

2016

D. Maurer, C. Wieners: A scalable parallel factorization of finite element matrices with distributed Schur complements.
Numerical Linear Algebra with Applications 23, 848--864 (2016)

C. Wieners: The skeleton reduction for finite element substructuring methods. ENUMATH Proceedings 2015.

2015

S. Sandfeld, E. Thawinan, C. Wieners: A link between microstructure evolution and macroscopic response in elasto-plasticity: formulation and numerical approximation of the higher-dimensional Continuum Dislocation Dynamics theory.
International Journal of Plasticity 72 (2015) 1-20.


M. Hochbruck, T. Pazur, A. Schulz, E. Thawinan, C. Wieners:
Efficient time integration for discontinuous Galerkin
approximations of linear wave equations.
ZAMM 95 (2015) 237-259

2014

C. Wieners, B. Wohlmuth:
Robust operator estimates and the application to substructuring methods for first-order systems.
ESAIM: Math. Mod. Numer. Anal. 48 (2014) 161--175.

D. Maurer, C. Wieners:
A scalable parallel factorization of finite element
matrices with distributed Schur complements. Submitted.

2013

C. Wieners, J. Xin:
Boundary Element Approximation for Maxwell's Eigenvalue Problem.
Mathematical Methods in the Applied Sciences 36 (2013) 2524-2539


T. Fritz, C. Wieners, G. Seemann, H. Steen, O. Dössel: Simulation of the contraction of the ventricles in a human
heart model including atria and pericardium, Biomechanics and Modeling in Mechanobiology, 2013

D. Maurer, C. Wieners:
A highly scalable multigrid method with parallel direct coarse grid
solver for Maxwell's equations
in: High Performance Computing in Science and Engineering ‘13,
Transactions of the High Performance Computing Center, Stuttgart (HLRS) 2013
Nagel, Wolfgang E.; Kröner, Dietmar H.; Resch, Michael M. (Eds.)
Springer-Verlag 2013, p 671-677

2012

D. Reddy, C. Wieners, B. Wohlmuth:
Finite element analysis for single-crystal strain-gradient plasticity,
Int. J. Num. Meth. Eng. 90 (2012) 784-804

2011

H.-U. Rempler, C. Wieners, W. Ehlers:
Efficiency comparison of an augmented finite element formulation with standard return mapping algorithms for elastic-inelastic materials.
Computationals Mechanics 48 (2011) 551-562

D. Maurer, C. Wieners:
Parallel multigrid methods and coarse grid solver for maxwell's eigenvalue problem
In Proc. of the CiHPC 2010: Competence in High Performance Computing.
G. Wittum, ed. Gauss-Allianz, Springer, pp. 205-213

D. Maurer, C. Wieners:
A parallel block decomposition method for distributed finite element matrices.
Parallel Computing 37 (2011) 742-758

C. Wieners:
Calculation of the photonic band structure
In: Photonic Crystals. Mathematical Analysis and Numerical Approximation
(ed. W. Dörfler)
Birkhäuser, New York (2011) pp. 40-62

M. Sauter, C. Wieners:
On the superlinear convergence in computational elasto-plasticity,
Comp. Meth. Eng. Mech. 200 (2011) 3646-3658

C. Wieners, B. Wohlmuth:
A primal-dual finite element approximation for a nonlocal model in plasticity
SIAM J. Numer. Anal. Vol.49, (2011) pp. 692-710

C. Wieners:
A primal-dual formulation for infinitesimal nonlocal plasticity with hardening.
GAMM-Mitt. vol.34 no.1 (2011) 45-50

2010

M.Sauter, C. Wieners:
Robust estimates for the approximation of the dynamic consolidation problem
Int. J. Numer. Meth. vol. 30 (2010) 832-856

C. Wieners, P. Neff, W. Müller:
Parallel simulation of an infinitesimal elasto-plastic Cosserat model
GAMM-Mitt. vol.33 no.1 (2010) 79-94

Christian Wieners:
A geometric data structure for parallel finite elements and the application to multigrid methods with block smoothing.
Computing and Visualization on Science, Vol.13, (2010) 161-175

2009

Christian Wieners:
SQP methods for incremental plasticity with kinematic hardening.
In: D. Reddy (editor), IUTAM Symposium on Theoretical, Modelling and Computational
Aspects of Inelastic Media, 143-154, Springer-Verlag Berlin 2008

P. Neff, A. Sydow, and C. Wieners:
Numerical approximation of incremental infinitesimal gradient plasticity.
Int. J. Numer. Meth. Eng. 77 (2009) 414-436

V. Huang, M. Plum, and C. Wieners:
A computer-assisted proof for photonic band gaps.
Z. angew. Math. Phys. (ZAMP) 60 (2009) 1035-1052

2008

Christian Wieners: SQP methods for incremental plasticity with kinematic hardening.
In: D. Reddy (editor), IUTAM Symposium on Theoretical, Modelling and Computational
Aspects of Inelastic Media, 143-154, Springer-Verlag Berlin 2008

Christian Wieners, Nils Karajan, Wolfgang Ehlers:
Parallel 3-d simulations of a twophasic porous media model in
spinemechanics. In: Proceedings of the 3. GAMM-Seminar in
Biomechanics (2008)
(preprint)

2007

Christian Wieners, Michael Plum: Numerical enclosures for variations inequalities,
Computational Methods in Applied Mathematics,
vol. 7 no. 4 (2007) 376-388

Patrizio Neff, Krzysztof Chelminski, Wolfgang Müller, Christian Wieners: A numerical solution method for an inifinitesimal elasto-plastic Cosserat model,
Mathematical Models and Methods in Applied Sciences (M3AS)
vol.17 no.8 (2007) 1211-1240

Christian Wieners: Nonlinear solution methods for infinitesimal perfect plasticity,
Z. Angew. Math. Mech. (ZAMM) 87, No. 8-9, 643-660 (2007)

2006

Christian Wieners, P. Bastian: Multigrid Methods on Adaptively Refind Grids.
In: Computing Sciences and Engineering, Special Issue on Multigrid Computing and Finite Element Methods, vol.8 no. 6, pp. 44-55 (2006)

Christian Wieners, Wolfgang Ehlers, Martin Amman: Distributed Point Objects: A new concept for parallel finite elements applied to a geomechanical problem. Future Generation Computer Systems 22: 532-545

2005

Christian Wieners, Wolfgang Ehlers, Martin Ammann, Tobias Graf: Parallel Solution Methods for Porous Media Models in Biomechanics PAMM 5, pp.35-38 (2005)

Christian Wieners, Wolfgang Ehlers, Martin Amman, Tobias Graf: Parallel Krylov methods and the application to 3-d simulations of a triphasic porous media model in soil mechanics. Comput. Mech. 36: 409-420 (2005)
(preprint)


2004

Christian Wieners, Nicolas Neuss: Criteria for the approximation property for multigrid methods in nonnested spaces. Math. Comp. 73: 1583-1600

Christian Wieners: Distributed Point Objects. A New Concept for Parallel Finite Elements. In: Domain Decomposition Methods in Science and Engineering, ed. R. Kornhuber, R. Hoppe, J. Périaux, O. Pironneau, O. Widlund, J. Xu, Lecture Notes in Computational Science and Engineering 40: Springer 175-183

2003

Christian Wieners, Michael Plum: Optimal a priori estimates for interface problems. Numerische Mathematik 95: 735-759

Christian Wieners, Patrizo Neff: Comparison of models for finite plasticity. A numerical study. Computing and Visualization in Science 6: 23-35

Christian Wieners, Barbara Wohlmuth: Duality estimates for saddle point problems arising from mortar discretizations. SIAM Sci. Comp. 24: 2163-2184

Christian Wieners: Taylor-Hood elements in 3D. In: Analysis and Simulation of Multigrid Problems, ed. W. L. Wendland et al., Springer, 189-196

Christian Wieners, Stefan Lang, Gabriel Wittum: The application of adaptive parallel multigrid methods to problems in nonlinear solid mechanics. In: Error-Controlled Adaptive Finite Element Methods in Solid Mechanics, ed. E. Stein, Wiley 347-384

2002

Christian Wieners, Wolfgang Ehlers, Stefan Diebels, Martin Amman: Parallel 3-D simulations for porous media models in soil mechanics. Comp. Mech. 29: 75-87

Christian Wieners, Michael Plum: New solutions of the Gelfand problem. J. Math. Anal. Appl. 269: 588-606

Christian Wieners: Dual error estimates for polygonal approximations of curved boundaries. PAMM ( Proc. Appl. Math. Mech. ) 1: 532-533

2001

Christian Wieners, P. Bastian, K. Johannsen, Stefan Lang, V. Reichenberger, Gabriel Wittum: High-accuracy simulation of density driven flow in porous media. In: High Performance Computing in Science and Engineering 01, ed. E. Krause, W. Jäger; Springer, 500-511

Christian Wieners: Local multigrid methods on hierarchical meshes. In: Construction of Grid Generation Algorithms, ed. W. Hackbusch, U. Langer, Leipzig, 159-160

2000

Christian Wieners, Michael Plum, H. Behnke, U. Mertins: Eigenvalue inclusions via domain decompositions. Proc. R. Soc. Lond. A 456: 2717-2730

Christian Wieners: Robust multigrid methods for nearly incompressible elasticity. Computing 64: 289-306

Christian Wieners: Efficient elasto-plastic simulation: Multified problems, ed. W. L. Wendland et al.; Springer, 209-216

Christian Wieners: Multigrid methods for finite elements and the application to solid mechanics. Theorie und Numerik der Prandtl-Reus Plastizität. Habilitationsschrift, Universität Heidelberg

Christian Wieners, P. Bastian, K. Birken, K. Johannsen, Stefan Lang, V. Reichenberger, Gabriel Wittum, C. Wrobel: Parallel solutions of partial differential equations with adaptive multigrid methods on unstructured grids. In: High Performance Computing in Science and Engineering 99, ed. E. Krause, W. Jäger, Springer, 496-508

Christian Wieners: Orthogonal projections onto convex sets and the application to plasticity. Universität Stuttgart, SFB 404, Preprint 00/11

Christian Wieners, P. Bastian, K. Johannsen, Stefan Lang, S. Nägele, V. Reichenberger, Gabriel Wittum, C. Wrobel: Advances in High-Performance Computing: Multigrid Methods for Partial Differential Equations and ist Apllications. In: High Performance Computing in Science and Engineering 00, ed. E. Krause, W. Jäger, Springer, 506-519

1999

Christian Wieners, D. Braess, W. Dahmen: A Multigrid Algorithm for the Mortar Finite Element Method. SIAM Numer. Math. 37: 48-69

Christian Wieners: Multigrid methods for Prandtl-Reus-plasticity. Numer. Lin. Alg. 6: 457-478

1998

Christian Wieners, Barbara Wohlmuth: The coupling of mixed and conforming finite element dicretizations. In: AMS Contemporary Mathematics series, Proceedings of the 10th International Conference on Domain Decomposition, ed. Jan Mandel and Charbel Farhat and Xiao-Chuan Cai: 546-553

Christian Wieners, P. Bastian, K. Birken, K. Johannsen, Stefan Lang, V. Reichenberger,H. Rentz-Reichert, Gabriel Wittum, C. Wrobel: A parallel software-platform for solving problems of partial differential equations using unstructured grids and adaptive multigrid methods. In: High Performance Computing in Science and Engineering 98, ed. E. Krause, W. Jäger, Springer, 326-339

Christian Wieners: Parallel linear algebra and the application to multigrid methods. Proc. des Kieler GAMM-Seminars, ed. W. Hackbusch, Gabriel Wittum

1997

Christian Wieners, P. Bastian, K. Birken, K. Johannsen, Stefan Lang, N. Neuss, H. Rentz-Reichert: UG - a flexible software toolbox for solving partial differential equations. Copmputing and Visualization in Science 1: 27-40

Christian Wieners: Bounds for the N lowest eigenvalue of fourth order boundary value equations. Computing 59: 29-42

Christian Wieners: The implementation of adaptive multigrid methods for finite elements. Universität Stuttgart, SFB 404, Preprint 97/12

1996

Christian Wieners: A numerical existence proof of nodal lines fort he first eigenfunction of the plate. Arch. Math. 66: 420-427

Christian Wieners: A parallel Newton multigrid method for high order finite elements and its application to numerical existence proofs for elliptic boundary value equations. Z. angew. Math. Mech. 76: 171-176

Christian Wieners: Numerical enclosures for solutions of the Navier-Stokes equation for small Reynolds numbers. In: Numerical Methods and Error Bounds, ed. G. Alefeld, J. Herzberger, Akademie Verlag Berlin; 280-286

Christian Wieners: Positive solutions of the Bratu problem in nonconvex domains. Z. angew. Math. Mech: 76, Suppl. 1: 583-584

1994

Christian Wieners: Numerische Existenzbeweise für schwache Lösungen nichtlinearer elliptischer Randwertaufgaben. Dissertation, Universität Köln

1990

Christian Wieners: Meataxe in Charakteristik 0 – ein Verfahren zur Bestimmung irreduzibler Darstellungen. Diplomarbeit, Universität Köln

1989

Christian Wieners: Die Berechnung von irreduziblen Darstellungen endlicher Gruppen. Examensarbeit für das 1. Staatsexamen, Universität Köln

Links to older preprint versions

Joint works with P. Bastian, S. Lang, K. Birken, K. Johannson

Joint works with B. Wohlmuth

Joint work with D. Braess and W. Dahmen

Joint works with M. Plum et. al.

Joint work with N. Neuss

Joint work with M. Ammann, S. Diebels, W. Ehlers

Joint work with P. Neff