Publikationsliste

Continuum modeling of dislocation microstructures under tribological loading
Lee, S.-H.; Wieners, C.; Schulz, K.
2025. Tribology International, 209, 110731. doi:10.1016/j.triboint.2025.110731  

A Fully Parallelized and Budgeted Multilevel Monte Carlo Method and the Application to Acoustic Waves
Baumgarten, N.; Krumscheid, S.; Wieners, C.
2024. SIAM/ASA Journal on Uncertainty Quantification, 12 (3), 901–931. doi:10.1137/23M1588354 

Numerical evaluation of elasto‐mechanical and visco‐elastic electro‐mechanical models of the human heart
Fröhlich, J.; Gerach, T.; Krauß, J.; Loewe, A.; Stengel, L.; Wieners, C.
2024. GAMM-Mitteilungen, 46 (3-4), 1–15. doi:10.1002/gamm.202370010  

Continuum-kinematics-based peridynamics and phase-field approximation of non-local dynamic fracture
Partmann, K.; Wieners, C.; Weinberg, K.
2023. International Journal of Fracture, 244 (1-2), 187–200. doi:10.1007/s10704-023-00726-7  

A fully parallelized and budgeted multi-level Monte Carlo method and the application to acoustic waves
Baumgarten, N.; Krumscheid, S.; Wieners, C.
2023. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000161083  

Efficient time splitting schemes for the monodomain equation in cardiac electrophysiology
Lindner, L. P.; Gerach, T.; Jahnke, T.; Loewe, A.; Weiss, D.; Wieners, C.
2023. International Journal for Numerical Methods in Biomedical Engineering, 39 (2), Art.-Nr.: e3666. doi:10.1002/cnm.3666  

Space-Time Discontinuous Galerkin Methods for Weak Solutions of Hyperbolic Linear Symmetric Friedrichs Systems
Corallo, D.; Dörfler, W.; Wieners, C.
2023. Journal of Scientific Computing, 94 (1), Art.-Nr.: 27. doi:10.1007/s10915-022-02076-3  

A Large-scale Virtual Patient Cohort to Study ECG Features of Interatrial Conduction Block
Bender, J.; Nagel, C.; Fröhlich, J.; Wieners, C.; Dössel, O.; Loewe, A.
2022. Current Directions in Biomedical Engineering, 8 (2), 97–100. doi:10.1515/cdbme-2022-1026  

Space-time discontinuous Galerkin methods for weak solutions of hyperbolic linear symmetric Friedrichs systems
Corallo, D.; Dörfler, W.; Wieners, C.
2022. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000149977  

Efficient time splitting schemes for the monodomain equation in cardiac electrophysiology
Lindner, L. P.; Gerach, T.; Jahnke, T.; Loewe, A.; Weiss, D.; Wieners, C.
2022. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000149976  

Dynamic phase-field fracture with a first-order discontinuous Galerkin method for elastic waves
Weinberg, K.; Wieners, C.
2022. Computer Methods in Applied Mechanics and Engineering, 389, Art.-Nr.: 114330. doi:10.1016/j.cma.2021.114330 

Dynamic fracture with continuum-kinematics-based peridynamics
Friebertshäuser, K.; Wieners, C.; Weinberg, K.
2022. AIMS Materials Science, 9 (6), 791–807. doi:10.3934/matersci.2022049 

Visco-acoustic full waveform inversion: From a DG forward solver to a Newton-CG inverse solver
Bohlen, T.; Fernandez, M. R.; Ernesti, J.; Rheinbay, C.; Rieder, A.; Wieners, C.
2021. Computers and Mathematics with Applications, 100, 126–140. doi:10.1016/j.camwa.2021.09.001 

Electro-mechanical whole-heart digital twins: A fully coupled multi-physics approach
Gerach, T.; Schuler, S.; Fröhlich, J.; Lindner, L.; Kovacheva, E.; Moss, R.; Wülfers, E. M.; Seemann, G.; Wieners, C.; Loewe, A.
2021. Mathematics, 9 (11), 1247. doi:10.3390/math9111247  

The parallel finite element system M++ with integrated multilevel preconditioning and multilevel Monte Carlo methods
Baumgarten, N.; Wieners, C.
2021. Computers and mathematics with applications, 81, 391–406. doi:10.1016/j.camwa.2020.03.004 

Parallel space-time solutions for the linear visco-acoustic and visco-elastic wave equation
Dörfler, W.; Wieners, C.; Ziegler, D.
2020. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000127990  

Error bounds and enclosures: The development of numerical analysis and the impact of the contributions by Lothar Collatz
Alefeld, G.; Plum, M.; Wieners, C.
2020. ZAMM, 100 (10), Art.-Nr.: e202002042. doi:10.1002/zamm.202002042 

Space-Time Discontinuous Galerkin Methods for Linear Hyperbolic Systems and the Application to the Forward Problem in Seismic Imaging
Dörfler, W.; Wieners, C.; Ziegler, D.
2020. Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples – FVCA 9, Bergen, Norway, June 2020. Ed.: R. Klöfkorn, 477–485, Springer International Publishing. doi:10.1007/978-3-030-43651-3_44 

The parallel finite element system M++ with integrated multilevel preconditioning and multilevel Monte Carlo methods
Baumgarten, N.; Wieners, C.
2020. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000117837  

Space-Time Discontinuous Petrov–Galerkin Methods for Linear Wave Equations in Heterogeneous Media
Ernesti, J.; Wieners, C.
2019. Computational methods in applied mathematics, 19 (3), 465–481. doi:10.1515/cmam-2018-0190 

A mesoscale continuum approach of dislocation dynamics and the approximation by a Runge-Kutta discontinuous Galerkin method
Schulz, K.; Wagner, L.; Wieners, C.
2019. International journal of plasticity, 120, 248–261. doi:10.1016/j.ijplas.2019.05.003 

Numerical evaluation of discontinuous and nonconforming finite element methods in nonlinear solid mechanics
Bayat, H. R.; Krämer, J.; Wunderlich, L.; Wulfinghoff, S.; Reese, S.; Wohlmuth, B.; Wieners, C.
2018. Computational mechanics, 62 (6), 1413–1427. doi:10.1007/s00466-018-1571-z 

A space-time discontinuous Petrov- Galerkin method for acousticwaves
Ernesti, J.; Wieners, C.
2018. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000085443  

Parallel adaptive discontinuous Galerkin discretizations in space and time for linear elastic and acousticwaves
Dörfler, W.; Findeisen, S.; Wieners, C.; Ziegler, D.
2018. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000085442  

Space-time discontinuous Petrov-Galerkin methods for linearwave equations in heterogeneous media
Ernesti, J.; Wieners, C.
2018. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000085441  

Space-Time Discontinuous Galerkin Discretizations for Linear First-Order Hyperbolic Evolution Systems
Doerfler, W.; Findeisen, S.; Wieners, C.
2016. Computational methods in applied mathematics, 16 (3), 409–428. doi:10.1515/cmam-2016-0015 

A mesoscale approach for dislocation density motion using a Runge-Kutta discontinuous Galerkin method
Schulz, K.; Wagner, L.; Wieners, C.
2016. Proceedings in applied mathematics and mechanics, 16 (1), 403–404. doi:10.1002/pamm.201610190 

The skeleton reduction for finite element substructuring methods
Wieners, C.
2016. Numerical Mathematics and Advanced Applications ENUMATH 2015. Ed. : B. Karasözen, 133–141, Springer International Publishing. doi:10.1007/978-3-319-39929-4_14 

A scalable parallel factorization of finite element matrices with distributed Schur complements
Maurer, D.; Wieners, C.
2016. Numerical linear algebra with applications, 23 (5), 848–864. doi:10.1002/nla.2057 

Space-time discontinuous Galerkin discretizations for linear first-order hyperbolic evolution systems. Revised March 2016
Dörfler, W.; Findeisen, S.; Wieners, C.
2016. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000053080  

A link between microstructure evolution and macroscopic response in elasto-plasticity: Formulation and numerical approximation of the higher-dimensional continuum dislocation dynamics theory
Sandfeld, S.; Thawinan, E.; Wieners, C.
2015. International journal of plasticity, 72, 1–20. doi:10.1016/j.ijplas.2015.05.001 

Space-time discontinuous Galerkin discretizations for linear first-order hyperbolic evolution systems
Dörfler, W.; Findeisen, S.; Wieners, C.
2015. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000050018  

Efficient time integration for discontinuous Galerkin approximations of linear wave equations
Hochbruck, M.; Pazur, T.; Schulz, A.; Thawinan, E.; Wieners, C.
2015. ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, 95 (3), 237–259. doi:10.1002/zamm.201300306 

Robust operator estimates and the application to substructuring methods for first-order systems
Wieners, C.; Wohlmuth, B.
2014. Mathematical modelling and numerical analysis, 48 (5), 1473–1494. doi:10.1051/m2an/2014006 

A Highly Scalable Multigrid Method with Parallel Direct Coarse Grid Solver for Maxwell’s Equations
Maurer, D.; Wieners, C.
2013. High Performance Computing in Science and Engineering - Transactions of the High Performance Computing Center, Stuttgart 2013. [Konferenz]. Ed.: W.E. Nagel, 671–677, Springer-Verlag. doi:10.1007/978-3-319-02165-2_47 

Boundary element approximation for Maxwell’s eigenvalue problem
Wieners, C.; Xin, J.
2013. Mathematical Methods in the Applied Sciences, 36 (18), 2524–2539. doi:10.1002/mma.2772 

Simulation of the contraction of the ventricles in a human heart model including atria and pericardium - Finite element analysis of a frictionless contact problem
Fritz, T.; Wieners, C.; Seemann, G.; Steen, H.; Dössel, O.
2013. Biomechanics and Modeling in Mechanobiology, 13 (3), 627–641. doi:10.1007/s10237-013-0523-y 

Finite element analysis for single-crystal strain-gradient plasticity
Reddy, D.; Wieners, C.; Wohlmuth, B.
2012. International Journal for Numerical Methods in Engineering, 90 (6), 784–804. doi:10.1002/nme.3347 

Parallel multigrid methods and coarse grid solver for maxwell’s eigenvalue problem
Maurer, D.; Wieners, C.
2012. Competence in High Performance Computing 2010 : proceedings of an International Conference on Competence in High Performance Computing, June 2010, Schloss Schwetzingen, Germany. Ed.: C. Bischof, 205–213, Springer-Verlag 

Boundary Element Approximation for Maxwell’s Eigenvalue Problem
Wieners, C.; Xin, J.
2012. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000028333  

Efficiency comparison of an augmented finite element formulation with standard return mapping algorithms for elastic-inelastic materials
Rempler, H.-U.; Wieners, ..; Ehlers, W.
2011. Computational Mechanics, 48 (5), 551–562. doi:10.1007/s00466-011-0602-9 

A parallel block decomposition method for distributed finite element matrices
Maurer, D.; Wieners, C.
2011. Parallel Computing, 37 (12), 742–758. doi:10.1016/j.parco.2011.05.007 

Calculation of the photonic band structure
Wieners, C.
2011. Photonic crystals : mathematical analysis and numerical approximation. Ed.: W. Dörfler, 40–62, Birkhäuser Verlag 

On the superlinear convergence in computational elasto-plasticity
Sauter, M.; Wieners, C.
2011. Computer Methods in Applied Mechanics and Engineering, 200 (49-52), 3646–3658. doi:10.1016/j.cma.2011.08.011 

A primal-dual finite element approximation for a nonlocal model in plasticity
Wieners, C.; Wohlmuth, B.
2011. SIAM journal on numerical analysis, 49 (2), 692–710. doi:10.1137/100789397 

A primal-dual formulation for infinitesimal nonlocal plasticity with hardening
Wieners, C.
2011. GAMM-Mitteilungen, 34 (1), 45–50. doi:10.1002/gamm.201110007 

Finite Element Analysis and Algorithms for Single-Crystal Strain-Gradient Plasticity
Reddy, B. D.; Wieners, C.; Wohlmuth, B.
2011. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000024899  

On the superlinear convergence in computational elasto-plasticity
Sauter, M.; Wieners, C.
2011. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000024898  

A geometric data structure for parallel finite elements and the application to multigrid methods with block smoothing
Wieners, C.
2010. Computing and Visualization on Science, 13 (4), 161–175. doi:10.1007/s00791-010-0135-3 

Parallel simulation of an infinitesimal elasto-plastic Cosserat model
Wieners, C.; Neff, P.; Müller, W.
2010. GAMM-Mitteilungen, 33 (1), 79–94. doi:10.1002/gamm.201010007 

Robust estimates for the approximation of the dynamic consolidation problem
Sauter, M.; Wieners, C.
2010. International journal for numerical methods in fluids, 30 (3), 832–856. doi:10.1093/imanum/drn080 

A primal-dual finite element approximation for a nonlocal model in plasticity
Wieners, C.; Wohlmuth, B.
2010. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000018827  

A computer-assisted proof for photonic band gaps
Hoang, V.; Plum, M.; Wieners, C.
2009. Zeitschrift für angewandte Mathematik und Physik, 60 (6), 1035–1052. doi:10.1007/s00033-008-8021-2 

Numerical approximation of incremental infinitesimal gradient plasticity
Neff, P.; Sydow, A.; Wieners, C.
2009. International Journal for Numerical Methods in Engineering, 77 (3), 414–436 

A geometric data structure for parallel finite elements and the application to multigrid methods with block smoothing
Wieners, C.
2009. Universität Karlsruhe (TH). doi:10.5445/IR/1000011634  

Parallel 3-d simulations of a twophasic porous media model in spinemechanics
Wieners, C.; Karajan, N.; Ehlers, W.
2008. 79th GAMM Annual Meeting of the International Association of Applied Mathematics and Mechanics, Bremen, Mach 31 - April 4, 2008 

SQP methods for incremental plasticity with kinematic hardening
Wieners, C.
2008. IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media. Proceedings of the IUTAM Symposium held at Cape Town, South Africa, January 14-18, 2008. Ed.: B. Daya Reddy, 143–154, Springer Netherlands 

Numerical results for an elasto-plastic Cosserat model with more than one million dof in 3D
Müller, W.; Neff, P.; Wieners, C.
2008. PAMM - Proceedings in applied mathematics and mechanics, 8 (1), 10557–10558 

A computer-assisted proof for photonic band gaps
Hoang, V.; Plum, M.; Wieners, C.
2008. Universität Karlsruhe (TH). doi:10.5445/IR/1000007941  

Numerical approximation of incremental infinitesimal gradient plasticity
Neff, P.; Sydow, A.; Wieners, C.
2008. Universität Karlsruhe (TH). doi:10.5445/IR/1000007866  

A numerical solution method for an infinitesimal elastro-plastic Cosserat model
Neff, P.; Chelminski, K.; Müller, W.; Wieners, C.
2007. Mathematical Models and Methods in Applied Sciences, 17 (8), 1211–1240 

Numerical enclosures for variations inequalities
Wieners, C.; Plum, M.
2007. Computational Methods in Applied Mathematics, 7 (4), 376–388 

A numerical solution method for an inifinitesimal elasto-plastic Cosserat model
Neff, P.; Chelminski, K.; Müller, W.; Wieners, C.
2007. Mathematical Models and Methods in Applied Sciences, 17 (8), 1211–1240 

Nonlinear solution methods for infinitesimal perfect plasticity
Wieners, C.
2007. Zeitschrift für angewandte Mathematik und Mechanik, 87 (8-9), 643–660 

Robust estimates for the approximation of the dynamic consolidation problem
Sauter, M.; Wieners, C.
2007. doi:10.5445/IR/1000007858  

Distributed Point Objects: A new concept for parallel finite elements applied to a geomechanical problem
Wieners, C.; Ammann, M.; Ehlers, W.
2006. Future Generation Computer Systems, 22 (4), 532–545. doi:10.1016/j.future.2005.04.009 

Multigrid Methods on Adaptively Refined Grids
Bastian, P.; Wieners, C.
2006. Computing in Science & Engineering, 8 (6), 44–54. doi:10.1109/MCSE.2006.116 

Nonlinear solution methods for infinitesimal perfect plasticity
Wieners, C.
2006. doi:10.5445/IR/1000007854  

A numerical solution method for an infinitesimal elastro-plastic Cosserat model
Neff, P.; Chelminski, K.; Müller, W.; Wieners, C.
2006. Universität Karlsruhe (TH). doi:10.5445/IR/1000005196  

Distributed Point Objects. A New Concept for Parallel Finite Elements
Wieners, C.
2005. Domain Decomposition Methods in Science and Engineering. Ed.: T.J. Barth, 175–182, Springer-Verlag. doi:10.1007/3-540-26825-1_14 

Parallel Krylov methods and the application to 3-d simulations of a triphasic porous media model in soil mechanics
Wieners, C.; Graf, T.; Ammann, M.; Ehlers, W.
2005. Computational Mechanics, 36 (6), 409–420. doi:10.1007/s00466-004-0654-1 

Parallel Solution Methods for Porous Media Models in Biomechanics
Wieners, C.; Ehlers, W.; Ammann, M.; Karajan, N.; Markert, B.
2005. Proceedings in Applied Mathematics and Mechanics, 5 (1), 35–38. doi:10.1002/pamm.200510010 

Enclosures for variational inequalities
Plum, M.; Wieners, C.
2005. Inst. f. Wiss. Rechnen u. Math. Modellbildung 

Criteria for the Approximation Property for Multigrid Methods in Nonnested Spaces
Neuss, N.; Wieners, C.
2004. Mathematics of Computation, 73 (248), 1583–1600. doi:10.1090/S0025-5718-04-01628-X 

The application of adaptive parallel multigrid methods to problems in nonlinear solid mechanics
Wieners, C.; Lang, S.; Wittum, G.
2003. Error-controlled Adaptive Finite Elements in Solid Mechanics. Ed.: E. Stein, 347–384, John Wiley and Sons 

Taylor-Hood elements in 3D
Wieners, C.
2003. Analysis and Simulation of Multifield Problems. Ed.: W. Wendland, 189–196, Springer-Verlag. doi:10.1007/978-3-540-36527-3_21 

Duality Estimates and Multigrid Analysis for Saddle Point Problems Arising from Mortar Discretizations
Wieners, C.; Wohlmuth, B. I.
2003. SIAM Journal on Scientific Computing, 24 (6), 2163–2184. doi:10.1137/S1064827502402715 

Comparison of models for finite plasticity: A numerical study
Neff, P.; Wieners, C.
2003. Computing and Visualization in Science, 6 (1), 23–35. doi:10.1007/s00791-003-0104-1 

Optimal a priori estimates for interface problems
Plum, M.; Wieners, C.
2003. Numerische Mathematik, 95 (4), 735–759. doi:10.1007/s002110200395 

Dual error estimates for polygonal approximations of curved boundaries
Wieners, C.
2002. Proceedings in Applied Mathematics and Mechanics, 1 (1), 532–533 

Parallel 3-d simulations for porous media models in soil mechanics
Wieners, C.; Ammann, M.; Diebels, S.; Ehlers, W.
2002. Computational Mechanics, 29 (1), 75–87. doi:10.1007/s00466-002-0327-x 

New solutions of the Gelfand problem
Plum, M.; Wieners, C.
2002. Journal of mathematical analysis and applications, 269 (2), 588–606. doi:10.1016/S0022-247X(02)00038-0 

New solutions of the Gelfand problem
Plum, M.; Wieners, C.
2002. Karlsruhe 2002. Preprint. Fakultät für Mathematik, Universität Karlsruhe, 2002 (11) 

Advances in High-Performance Computing: Multigrid Methods for Partial Differential Equations and its Applications
Bastian, P.; Johannsen, K.; Lang, S.; Nägele, S.; Wieners, C.; Reichenberger, V.; Wittum, G.; Wrobel, C.
2001. High Performance Computing in Science and Engineering - Transactions of the High Performance Computing Center Stuttgart, 2000. Ed.: E. Krause, 506–519, Springer-Verlag. doi:10.1007/978-3-642-56548-9_41 

High-accuracy Simulation of Density Driven Flow in Porous Media
Bastian, P.; Johannsen, K.; Lang, S.; Wieners, C.; Reichenberger, V.; Wittum, G.
2001. High Performance Computing in Science and Engineering - Transactions of the High Performance Computing Center Stuttgart, 2011. Ed.: E. Krause, 500–511, Springer-Verlag. doi:10.1007/978-3-642-56034-7_50 

Optimal a priori estimates for interface problems
Plum, M.; Wieners, C.
2001. Karlsruhe 2001. (Preprint. Fakultät für Mathematik, Universität Karlsruhe. 2001,4.) 

Parallel solution of Partial Differential Equations with Adaptive Multigrid Methods on Unstructured Grids
Bastian, P.; Birken, K.; Johannsen, K.; Lang, S.; Reichenberger, V.; Wieners, C.; Wittum, G.; Wrobel, C.
2000. High Performance Computing in Science and Engineering - Transactions of the High Performance Computing Center Stuttgart, 1999. Ed.: E. Krause, 496–508, Springer-Verlag. doi:10.1007/978-3-642-59686-5_48 

Efficient Elasto-Plastic Simulation
Wieners, C.
2000. Multifield Problems - State of the Art. Ed.: A.-M. Sändig, 209–216, Springer-Verlag. doi:10.1007/978-3-662-04015-7_23 

Robust Multigrid Methods for Nearly Incompressible Elasticity
Wieners, C.
2000. Computing, 64 (4), 289–306. doi:10.1007/s006070070026 

Eigenvalue inclusions via domain decompositions
Behnke, H.; Mertins, U.; Plum, M.; Wieners, C.
2000. Proceedings of the Royal Society A : Mathematical, Physical and Engineering Sciences, 456 (2003), 2717–2730. doi:10.1098/rspa.2000.0635 

Eigenvalue inclusions via domain decomposition
Behnke, H.; Plum, M.; Mertins, U.; Wieners, C.
2000. Karlsruhe 2000. (Preprint. Fakultät für Mathematik, Universität Karlsruhe. 2000,4.) und Proc. of the Roy. Soc. of Lond. A 456 (2000) S. 2717-2730