Prof. Dr. Christian Wieners

  • Englerstraße 2
    76133 Karlsruhe
Titel Links Typ
Wintersemester 2025/26
Finite Element Methods Vorlesung (V)
Tutorial for 0110300 (Finite Element Methods) Übung (Ü)
Sommersemester 2025
Einführung in das Wissenschaftliche Rechnen Vorlesung (V)
Praktikum zu 0165000 (Einführung in das Wissenschaftliche Rechnen) Praktikum (P)
Wintersemester 2024/25
Seminar (Spezielle Themen der Numerik) Seminar (S)

Publikationsliste


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
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.3666Full textFull text of the publication as PDF document
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-2022-1026Full textFull text of the publication as PDF document
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/math9111247Full textFull text of the publication as PDF document
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
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
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
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
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 
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
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 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 
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 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 
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
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 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 
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
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
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