Universität zu Köln

Journal Article

Balzani, Daniel ORCID: 0000-0002-1422-4262, Deparis, Simone ORCID: 0000-0002-2832-6630, Fausten, Simon, Forti, Davide, Heinlein, Alexander, Klawonn, Axel ORCID: 0000-0003-4765-7387, Quarteroni, Alfio, Rheinbach, Oliver ORCID: 0000-0002-9310-8533 and Schroeder, Joerg (2016). Numerical modeling of fluid-structure interaction in arteries with anisotropic polyconvex hyperelastic and anisotropic viscoelastic material models at finite strains. Int. J. Numer. Meth. Biomed., 32 (10). HOBOKEN: WILEY. ISSN 2040-7947

Heinlein, Alexander ORCID: 0000-0003-1578-8104, Klawonn, Axel ORCID: 0000-0003-4765-7387, Knepper, Jascha and Rheinbach, Oliver ORCID: 0000-0002-9310-8533 (2019). ADAPTIVE GDSW COARSE SPACES FOR OVERLAPPING SCHWARZ METHODS IN THREE DIMENSIONS. SIAM J. Sci. Comput., 41 (5). S. A3045 - 28. PHILADELPHIA: SIAM PUBLICATIONS. ISSN 1095-7197

Heinlein, Alexander ORCID: 0000-0003-1578-8104, Klawonn, Axel ORCID: 0000-0003-4765-7387, Knepper, Jascha and Rheinbach, Oliver ORCID: 0000-0002-9310-8533 (2018). MULTISCALE COARSE SPACES FOR OVERLAPPING SCHWARZ METHODS BASED ON THE ACMS SPACE IN 2D. Electron. Trans. Numer. Anal., 48. S. 156 - 183. KENT: KENT STATE UNIVERSITY. ISSN 1068-9613

Heinlein, Alexander ORCID: 0000-0003-1578-8104, Klawonn, Axel ORCID: 0000-0003-4765-7387 and Rheinbach, Oliver ORCID: 0000-0002-9310-8533 (2016). A PARALLEL IMPLEMENTATION OF A TWO-LEVEL OVERLAPPING SCHWARZ METHOD WITH ENERGY-MINIMIZING COARSE SPACE BASED ON TRILINOS. SIAM J. Sci. Comput., 38 (6). S. C713 - 35. PHILADELPHIA: SIAM PUBLICATIONS. ISSN 1095-7197

Klawonn, Axel ORCID: 0000-0003-4765-7387, Kuehn, Martin and Rheinbach, Oliver ORCID: 0000-0002-9310-8533 (2016). ADAPTIVE COARSE SPACES FOR FETI-DP IN THREE DIMENSIONS. SIAM J. Sci. Comput., 38 (5). S. A2880 - 32. PHILADELPHIA: SIAM PUBLICATIONS. ISSN 1095-7197

Klawonn, Axel ORCID: 0000-0003-4765-7387, Kuehn, Martin and Rheinbach, Oliver ORCID: 0000-0002-9310-8533 (2018). ADAPTIVE FETI-DP AND BDDC METHODS WITH A GENERALIZED TRANSFORMATION OF BASIS FOR HETEROGENEOUS PROBLEMS. Electron. Trans. Numer. Anal., 49. S. 1 - 28. KENT: KENT STATE UNIVERSITY. ISSN 1068-9613

Klawonn, Axel ORCID: 0000-0003-4765-7387, Kuhn, Martin J. ORCID: 0000-0002-0906-6984 and Rheinbach, Oliver ORCID: 0000-0002-9310-8533 (2020). Parallel adaptive FETI-DP using lightweight asynchronous dynamic load balancing. Int. J. Numer. Methods Eng., 121 (4). S. 621 - 644. HOBOKEN: WILEY. ISSN 1097-0207

Klawonn, Axel ORCID: 0000-0003-4765-7387, Lanser, Martin and Rheinbach, Oliver ORCID: 0000-0002-9310-8533 (2018). NONLINEAR BDDC METHODS WITH APPROXIMATE SOLVERS. Electron. Trans. Numer. Anal., 49. S. 244 - 274. KENT: KENT STATE UNIVERSITY. ISSN 1068-9613

Klawonn, Axel ORCID: 0000-0003-4765-7387, Lanser, Martin ORCID: 0000-0002-4232-9395, Rheinbach, Oliver ORCID: 0000-0002-9310-8533 and Uran, Matthias (2017). NONLINEAR FETI-DP AND BDDC METHODS: A UNIFIED FRAMEWORK AND PARALLEL RESULTS. SIAM J. Sci. Comput., 39 (6). S. C417 - 35. PHILADELPHIA: SIAM PUBLICATIONS. ISSN 1095-7197

Klawonn, Axel ORCID: 0000-0003-4765-7387, Lanser, Martin, Rheinbach, Oliver and Weber, Janine (2019). PRECONDITIONING THE COARSE PROBLEM OF BDDC METHODS-THREE-LEVEL, ALGEBRAIC MULTIGRID, AND VERTEX-BASED PRECONDITIONERS. Electron. Trans. Numer. Anal., 51. S. 432 - 451. KENT: KENT STATE UNIVERSITY. ISSN 1068-9613

Klawonn, Axel ORCID: 0000-0003-4765-7387, Radtke, Patrick and Rheinbach, Oliver ORCID: 0000-0002-9310-8533 (2016). A COMPARISON OF ADAPTIVE COARSE SPACES FOR ITERATIVE SUBSTRUCTURING IN TWO DIMENSIONS. Electron. Trans. Numer. Anal., 45. S. 75 - 107. KENT: KENT STATE UNIVERSITY. ISSN 1068-9613

Preprints, Working Papers or Reports

Heinlein, Alexander, Klawonn, Axel ORCID: 0000-0003-4765-7387, Knepper, Jascha and Rheinbach, Oliver (2018). Adaptive GDSW coarse spaces for overlapping Schwarz methods in three dimensions. Technical Report.

Heinlein, Alexander ORCID: 0000-0003-1578-8104, Klawonn, Axel ORCID: 0000-0003-4765-7387, Knepper, Jascha, Rheinbach, Oliver and Widlund, Olof B. (2020). Adaptive GDSW coarse spaces of reduced dimension for overlapping Schwarz methods. Technical Report.

Heinlein, Alexander, Klawonn, Axel ORCID: 0000-0003-4765-7387, Rajamanickam, Sivasankaran and Rheinbach, Oliver (2018). FROSch: A Fast And Robust Overlapping Schwarz Domain Decomposition Preconditioner Based on Xpetra in Trilinos. Technical Report.

Heinlein, Alexander, Klawonn, Axel ORCID: 0000-0003-4765-7387, Rheinbach, Oliver and Röver, Friederike (2018). A Three-Level Extension of the GDSW Overlapping Schwarz Preconditioner in Three Dimensions. Technical Report.

Heinlein, Alexander ORCID: 0000-0003-1578-8104, Rheinbach, Oliver, Röver, Friederike, Sandfeld, Stefan and Steinberger, Dominik (2019). Applying the FROSch Overlapping Schwarz Preconditioner for Dislocation Mechanics in Deal.II. Technical Report.

Klawonn, Axel ORCID: 0000-0003-4765-7387, Köhler, Stephan, Lanser, Martin and Rheinbach, Oliver (2019). Computational Homogenization with Million-way Parallelism using Domain Decomposition Methods. Technical Report.

Klawonn, Axel ORCID: 0000-0003-4765-7387, Kühn, Martin Joachim ORCID: 0000-0002-0906-6984 and Rheinbach, Oliver (2019). Parallel adaptive FETI-DP using lightweight asynchronous dynamic load balancing. Technical Report.

Klawonn, Axel ORCID: 0000-0003-4765-7387, Kühn, Martin Joachim ORCID: 0000-0002-0906-6984 and Rheinbach, Oliver (2018). A closer look at local eigenvalue solvers for adaptive FETI-DP and BDDC. Technical Report.

Klawonn, Axel ORCID: 0000-0003-4765-7387, Lanser, Martin, Rheinbach, Oliver and Weber, Janine (2019). Preconditioning the coarse problem of BDDC methods - Three-level, algebraic multigrid, and vertex-based preconditioners. Technical Report.

Klawonn, Axel ORCID: 0000-0003-4765-7387, Lanser, Martin Heinrich, Rheinbach, Oliver, Wellein, Gerhard and Wittmann, Markus (2018). Energy Efficiency of Nonlinear Domain Decomposition Methods. Technical Report.