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Oliver Rheinbach
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Highly scalable parallel domain decomposition methods with an application to biomechanics
A Klawonn, O Rheinbach
ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte …, 2010
1592010
An analysis of a FETI–DP algorithm on irregular subdomains in the plane
A Klawonn, O Rheinbach, OB Widlund
SIAM Journal on Numerical Analysis 46 (5), 2484-2504, 2008
1562008
Robust FETI-DP methods for heterogeneous three dimensional elasticity problems
A Klawonn, O Rheinbach
Computer Methods in Applied Mechanics and Engineering 196 (8), 1400-1414, 2007
1442007
A parallel implementation of dual-primal FETI methods for three-dimensional linear elasticity using a transformation of basis
A Klawonn, O Rheinbach
SIAM Journal on Scientific Computing 28 (5), 1886-1906, 2006
1332006
Inexact FETI‐DP methods
A Klawonn, O Rheinbach
International journal for numerical methods in engineering 69 (2), 284-307, 2007
1142007
FETI-DP methods with an adaptive coarse space
A Klawonn, P Radtke, O Rheinbach
SIAM Journal on Numerical Analysis 53 (1), 297-320, 2015
1062015
Toward extremely scalable nonlinear domain decomposition methods for elliptic partial differential equations
A Klawonn, M Lanser, O Rheinbach
SIAM Journal on Scientific Computing 37 (6), C667-C696, 2015
872015
Adaptive coarse spaces for FETI-DP in three dimensions
A Klawonn, M Kuhn, O Rheinbach
SIAM Journal on Scientific Computing 38 (5), A2880-A2911, 2016
832016
Nonlinear feti-dp and bddc methods
A Klawonn, M Lanser, O Rheinbach
SIAM Journal on Scientific Computing 36 (2), A737-A765, 2014
782014
A comparison of adaptive coarse spaces for iterative substructuring in two dimensions
A Klawonn, P Radtke, O Rheinbach
Electronic Transactions on Numerical Analysis 45, 75-106, 2016
732016
Modelling and convergence in arterial wall simulations using a parallel FETI solution strategy
D Brands, A Klawonn, O Rheinbach, J Schröder
Computer Methods in Biomechanics and Biomedical Engineering 11 (5), 569-583, 2008
712008
Spectral element FETI-DP and BDDC preconditioners with multi-element subdomains
A Klawonn, LF Pavarino, O Rheinbach
Computer methods in applied mechanics and engineering 198 (3-4), 511-523, 2008
602008
Numerical modeling of fluid–structure interaction in arteries with anisotropic polyconvex hyperelastic and anisotropic viscoelastic material models at finite strains
D Balzani, S Deparis, S Fausten, D Forti, A Heinlein, A Klawonn, ...
International journal for numerical methods in biomedical engineering 32 (10 …, 2016
572016
Parallel simulation of patient‐specific atherosclerotic arteries for the enhancement of intravascular ultrasound diagnostics
D Balzani, D Böse, D Brands, R Erbel, A Klawonn, O Rheinbach, ...
Engineering Computations 29 (8), 888-906, 2012
552012
Deflation, projector preconditioning, and balancing in iterative substructuring methods: connections and new results
A Klawonn, O Rheinbach
SIAM Journal on Scientific Computing 34 (1), A459-A484, 2012
522012
Multiscale coarse spaces for overlapping Schwarz methods based on the ACMS space in 2D
A Heinlein, A Klawonn, J Knepper, O Rheinbach
Verlag der Österreichischen Akademie der Wissenschaften, 2018
492018
Nonlinear FETI-DP and BDDC methods: a unified framework and parallel results
A Klawonn, M Lanser, O Rheinbach, M Uran
SIAM Journal on Scientific Computing 39 (6), C417-C451, 2017
492017
A parallel implementation of a two-level overlapping Schwarz method with energy-minimizing coarse space based on Trilinos
A Heinlein, A Klawonn, O Rheinbach
SIAM Journal on Scientific Computing 38 (6), C713-C747, 2016
462016
Parallel iterative substructuring in structural mechanics
O Rheinbach
Archives of Computational Methods in Engineering 16, 425-463, 2009
462009
On an adaptive coarse space and on nonlinear domain decomposition
A Klawonn, M Lanser, P Radtke, O Rheinbach
Domain decomposition methods in science and engineering XXI, 71-83, 2014
422014
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Articles 1–20