Dissertationen
- N. Baumgarten. A Fully Parallelized and Budgeted Multi-level Monte Carlo Framework for Partial Differential Equations: From Mathematical Theory to Automated Large-Scale Computations (Dissertation, 2023)
- J. Fröhlich. A segregated finite element method for cardiac elastodynamics in a fully coupled human heart model (Dissertation, 2022)
- J. Wunderlich. Computer-assisted Existence Proofs for Navier-Stokes Equations on an Unbounded Strip with Obstacle (Dissertation, 2022)
- J. Krämer. A hybrid weakly conforming finite element method for applications in solid mechanics (Dissertation, 2020)
- D. Ziegler. A parallel and adaptive space-time discontinuous Galerkin method for visco-elastic and visco-acoustic waves (Dissertation, 2019)
- L. Wagner. A discontinuous Galerkin method for continuum dislocation dynamics in a fully-coupled elastoplasticity model (Dissertation, 2019)
- J. Ernesti. Space-Time Methods for Acoustic Waves with Applications to Full Waveform Inversion (Dissertation, 2018)
- R. Shirazi-Nejad. A parallel elastic and inelastic heterogeneous multiscale method for rate-independent materials (Dissertation, 2017)
- S. Findeisen. A Parallel and Adaptive Space-Time Method for Maxwell's Equations (Dissertation, 2016)
- E. Thawinan. Numerical approximation of higher-dimensional Continuum Dislocation Dynamics theory in single crystal plasticity (Dissertation, 2015)
- A. Schulz. Numerical Analysis of the Electro-Magnetic Perfectly Matched Layer in a Discontinuous Galerkin Discretization (Dissertation, 2015)
- D. Maurer. Ein hochskalierbarer paralleler direkter Löser für Finite Elemente Diskretisierungen (Dissertation, 2013)
- J. Xin: Boundary Element Approximation for Maxwell's Eigenvalue Problem (Dissertation, 2011)
- M. Richter: Optimization of Photonic Band Structures (Dissertation, 2010)
- M. Sauter: Numerical Analysis of Algorithms for Infinitesimal Associated and Non-Associated Elasto-Plasticity (Dissertation, 2010)
- A. Bulovyatov: A parallel multigrid method for band structure computation of 3D photonic crystals with higher order finite elements (Dissertation, 2010)
- W. Müller: Numerische Analyse und parallele Simulation von nichtlinearen Cosserat-Modellen (Dissertation, 2009)
Publikationen
- N. Baumgarten, C. Wieners: The parallel finite element system M++ with integrated multilevel preconditioning and multilevel Monte Carlo methods. In: Comput. Math. Appl. 81, pp. 391--406 (2021)
- W. Dörfler, S. Findeisen, C. Wieners and D. Ziegler: Parallel adaptive discontinuous Galerkin discretizations in space and time for linear elastic and acoustic waves. In: U. Langer and O. Steinbach (eds.) Space-Time Methods. Applications to Partial Differential Equations, pp. 61-88. Walter de Gruyter, Radon Series on Computational and Applied Mathematics 25 (2019)
- J. Ernesti and C. Wieners: A space-time discontinuous Petrov-Galerkin method for acoustic waves. In: U. Langer and O. Steinbach (eds.) Space-Time Methods. Applications to Partial Differential Equations, pp. 89-116. Walter de Gruyter, Radon Series on Computational and Applied Mathematics 25 (2019)
- J. Ernesti and C. Wieners: Space-time discontinuous Petrov-Galerkin methods for linear wave equations in heterogeneous media. In: Computational Methods in Applied Mathematics (19), pp. 465-481 (2019)
- K. Schulz, L. Wagner, C. Wieners: A mesoscale continuum approach of dislocation dynamics and the approximation by a Runge-Kutta discontinuous Galerkin method, International Journal of Plasticity (120), pp. 248-261, Elsevier (2019)
- R. Shirazi-Nejad, C. Wieners: Parallel Inelastic Heterogeneous Multi-Scale Simulations. In: Multi-scale Simulation of Composite Materials, pp. 57-96, Springer (2019)
- W. Dörfler, S. Findeisen and C. Wieners: Space-time discontinuous Galerkin discretizations for linear first-order hyperbolic evolution systems. In: Comput. Methods Appl. Math. 16, pp. 409-428 (2016)
- D. Maurer, C. Wieners: A scalable parallel factorization of finite element matrices with distributed Schur complements, Numer. Linear Algebra Appl. 23, pp. 848-864, Wiley Online Library (2016)
- M. Hochbruck, T. Pazur, A. Schulz, E. Thawinan, C. Wieners: Efficient time integration for discontinuous Galerkin approximations of linear wave equations, ZAMM (95), pp. 237-259 (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), pp. 1-20, Elsevier (2015)
- 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
- D. Maurer, C. Wieners: A parallel block
decomposition method for distributed finite element matrices. Parallel Computing 37 (2011) 742-758
- C. 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
- 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
- M. Sauter, C. Wieners: Robust estimates for the approximation of the dynamic consolidation problem (IMA Journal of Numerical Analysis (2010) 30, 832-856, doi: 10.1093/imanum/drn080 )
- W. Müller, P. Neff, C. Wieners: Numerical results for an elasto-plastic Cosserat model with more than one million dof in 3D. Proc. Appl. Math. Mech., 26:1055710558, 2008.
- P. Neff, K. Chelminski, W. Müller, C. Wieners: A numerical solution method for an infinitesimal elasto-plastic Cosserat model, Mathematical Models and Methods in Applied Sciences (M3AS) vol.17 no.8 (2007) 1211-1240
- J. Fröhlich, T. Gerach, J. Krauß, A. Loewe, L. Stengel, C. Wieners: Numerical evaluation of elasto-mechanical and visco-elastic electro-mechanical models of the human heart, GAMM-Mitteilungen, 2024
Weitere Publikationen finden Sie auf der Seite von Herrn Prof. Dr. C. Wieners.