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Balzani, Daniel ORCID: 0000-0002-1422-4262, Deparis, Simone
ORCID: 0000-0002-2832-6630, Fausten, Simon, Forti, Davide, Heinlein, Alexander
ORCID: 0000-0003-1578-8104, 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
Balzani, Daniel ORCID: 0000-0002-1422-4262, Heinlein, Alexander
ORCID: 0000-0003-1578-8104, Klawonn, Axel
ORCID: 0000-0003-4765-7387, Rheinbach, Oliver
ORCID: 0000-0002-9310-8533 and Schröder, Jörg
(2022).
Comparison of Arterial Wall Models in Fluid-Structure Interaction Simulations.
Technical Report.
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, Klawonn, Axel ORCID: 0000-0003-4765-7387, Knepper, Jascha
ORCID: 0000-0002-8769-2235 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 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, Knepper, Jascha
ORCID: 0000-0002-8769-2235, Rheinbach, Oliver
ORCID: 0000-0002-9310-8533 and Widlund, Olof B.
(2022).
ADAPTIVE GDSW COARSE SPACES OF REDUCED DIMENSION FOR OVERLAPPING SCHWARZ METHODS.
SIAM J. Sci. Comput., 44 (3).
S. A1176 - 29.
PHILADELPHIA:
SIAM PUBLICATIONS.
ISSN 1095-7197
Heinlein, Alexander ORCID: 0000-0003-1578-8104, Klawonn, Axel
ORCID: 0000-0003-4765-7387, Knepper, Jascha
ORCID: 0000-0002-8769-2235, 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 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
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, Koehler, Stephan, Lanser, Martin
ORCID: 0000-0002-4232-9395 and Rheinbach, Oliver
ORCID: 0000-0002-9310-8533
(2020).
Computational homogenization with million-way parallelism using domain decomposition methods.
Comput. Mech., 65 (1).
S. 1 - 23.
NEW YORK:
SPRINGER.
ISSN 1432-0924
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, Kuhn, Martin and Rheinbach, Oliver (2020). COARSE SPACES FOR FETI-DP AND BDDC METHODS FOR HETEROGENEOUS PROBLEMS: CONNECTIONS OF DEFLATION AND A GENERALIZED TRANSFORMATION-OF-BASIS APPROACH. Electron. Trans. Numer. Anal., 52. S. 43 - 77. 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, 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 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 and Rheinbach, Oliver
ORCID: 0000-0002-9310-8533
(2014).
NONLINEAR FETI-DP AND BDDC METHODS.
SIAM J. Sci. Comput., 36 (2).
S. A737 - 29.
PHILADELPHIA:
SIAM PUBLICATIONS.
ISSN 1095-7197
Klawonn, Axel ORCID: 0000-0003-4765-7387, Lanser, Martin
ORCID: 0000-0002-4232-9395 and Rheinbach, Oliver
ORCID: 0000-0002-9310-8533
(2015).
TOWARD EXTREMELY SCALABLE NONLINEAR DOMAIN DECOMPOSITION METHODS FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS.
SIAM J. Sci. Comput., 37 (6).
S. C667 - 30.
PHILADELPHIA:
SIAM PUBLICATIONS.
ISSN 1095-7197
Klawonn, Axel ORCID: 0000-0003-4765-7387, Lanser, Martin, Rheinbach, Oliver
ORCID: 0000-0002-9310-8533 and Uran, Matthias
(2021).
Fully-Coupled Micro-Macro Finite Element Simulations of the Nakajima Test Using Parallel Computational Homogenization.
Technical Report.
Klawonn, Axel ORCID: 0000-0003-4765-7387, Lanser, Martin, Rheinbach, Oliver
ORCID: 0000-0002-9310-8533 and Uran, Matthias
(2021).
Fully-coupled micro-macro finite element simulations of the Nakajima test using parallel computational homogenization.
Comput. Mech., 68 (5).
S. 1153 - 1179.
NEW YORK:
SPRINGER.
ISSN 1432-0924
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, 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, Lanser, Martin ORCID: 0000-0002-4232-9395, Rheinbach, Oliver, Wellein, Gerhard and Wittmann, Markus
.
Energy efficiency of nonlinear domain decomposition methods.
Int. J. High Perform. Comput. Appl..
LONDON:
SAGE PUBLICATIONS LTD.
ISSN 1741-2846
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.
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