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Rheinbach, Oliver

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Author ID: rheinbach.oliver Recent zbMATH articles by "Rheinbach, Oliver"
Published as: Rheinbach, Oliver; Rheinbach, O.
External Links: MGP
Documents Indexed: 52 Publications since 2005, including 1 Book

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 437 times in 172 Documents Cited by Year
An analysis of a FETI – DP algorithm on irregular subdomains in the plane. Zbl 1176.65135
Klawonn, Axel; Rheinbach, Oliver; Widlund, Olof B.
46
2008
Robust FETI-DP methods for heterogeneous three dimensional elasticity problems. Zbl 1173.74428
Klawonn, Axel; Rheinbach, Oliver
41
2007
Highly scalable parallel domain decomposition methods with an application to biomechanics. Zbl 1355.65169
Klawonn, Axel; Rheinbach, Oliver
32
2010
FETI-DP methods with an adaptive coarse space. Zbl 1327.65063
Klawonn, A.; Radtke, P.; Rheinbach, O.
32
2015
Inexact FETI-DP methods. Zbl 1194.74420
Klawonn, Axel; Rheinbach, Oliver
25
2007
A comparison of adaptive coarse spaces for iterative substructuring in two dimensions. Zbl 1338.65084
Klawonn, Axel; Radtke, Patrick; Rheinbach, Oliver
24
2016
Adaptive coarse spaces for FETI-DP in three dimensions. Zbl 1346.74168
Klawonn, Axel; Kühn, Martin; Rheinbach, Oliver
23
2016
A parallel implementation of dual-primal FETI methods for three-dimensional linear elasticity using a transformation of basis. Zbl 1124.74049
Klawonn, Axel; Rheinbach, Oliver
19
2006
Toward extremely scalable nonlinear domain decomposition methods for elliptic partial differential equations. Zbl 1329.65294
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver
16
2015
Deflation, projector preconditioning, and balancing in iterative substructuring methods: Connections and new results. Zbl 1248.65129
Klawonn, Axel; Rheinbach, Oliver
12
2012
Spectral element FETI-DP and BDDC preconditioners with multi-element subdomains. Zbl 1228.74084
Klawonn, Axel; Pavarino, Luca F.; Rheinbach, Oliver
12
2008
Nonlinear FETI-DP and BDDC methods. Zbl 1296.65178
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver
12
2014
On an adaptive coarse space and on nonlinear domain decomposition. Zbl 1382.65448
Klawonn, Axel; Lanser, Martin; Radtke, Patrick; Rheinbach, Oliver
12
2014
Multiscale coarse spaces for overlapping Schwarz methods based on the ACMS space in 2D. Zbl 1448.65263
Heinlein, Alexander; Klawonn, Axel; Knepper, Jascha; Rheinbach, Oliver
11
2018
Analysis of FETI-DP and BDDC for linear elasticity in 3D with almost incompressible components and varying coefficients inside subdomains. Zbl 1255.74063
Gippert, Sabrina; Klawonn, Axel; Rheinbach, Oliver
10
2012
Parallel iterative substructuring in structural mechanics. Zbl 1179.74157
Rheinbach, Oliver
10
2009
Parallel overlapping Schwarz with an energy-minimizing coarse space. Zbl 1367.65043
Heinlein, Alexander; Klawonn, Axel; Rheinbach, Oliver
7
2017
A highly scalable implementation of inexact nonlinear FETI-DP without sparse direct solvers. Zbl 1352.65627
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver
7
2016
A parallel implementation of a two-level overlapping Schwarz method with energy-minimizing coarse space based on trilinos. Zbl 1355.65168
Heinlein, Alexander; Klawonn, Axel; Rheinbach, Oliver
7
2016
Adaptive FETI-DP and BDDC methods with a generalized transformation of basis for heterogeneous problems. Zbl 1448.65236
Klawonn, Axel; Kühn, Martin; Rheinbach, Oliver
7
2018
FETI-DP domain decomposition methods for elasticity with structural changes: \({P}\)-elasticity. Zbl 1268.74037
Klawonn, Axel; Neff, Patrizio; Rheinbach, Oliver; Vanis, Stefanie
6
2011
Some computational results for dual-primal FETI methods for elliptic problems in 3D. Zbl 1067.65128
Klawonn, Axel; Rheinbach, Oliver; Widlund, Olof B.
6
2005
Adaptive coarse spaces for BDDC with a transformation of basis. Zbl 1339.65238
Klawonn, Axel; Radtke, Patrick; Rheinbach, Oliver
6
2016
The approximate component mode synthesis special finite element method in two dimensions: parallel implementation and numerical results. Zbl 1326.65160
Heinlein, A.; Hetmaniuk, U.; Klawonn, A.; Rheinbach, O.
6
2015
Nonlinear BDDC methods with approximate solvers. Zbl 1410.65473
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver
5
2018
Nonlinear FETI-DP and BDDC methods: a unified framework and parallel results. Zbl 1377.65163
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver; Uran, Matthias
5
2017
Parallel two-level overlapping Schwarz methods in fluid-structure interaction. Zbl 1387.74108
Heinlein, Alexander; Klawonn, Axel; Rheinbach, Oliver
5
2016
Parallel scalable iterative substructuring: robust exact and inexact FETI-DP methods with applications to elasticity. Zbl 1227.65002
Rheinbach, Oliver
4
2006
On the mechanical modeling of anisotropic biological soft tissue and iterative parallel solution strategies. Zbl 1271.74314
Balzani, D.; Brands, D.; Klawonn, A.; Rheinbach, O.; Schröder, J.
4
2010
A deflation based coarse space in dual-primal FETI methods for almost incompressible elasticity. Zbl 1321.74070
Gippert, Sabrina; Klawonn, Axel; Rheinbach, Oliver
4
2015
Projector preconditioning and transformation of basis in FETI-DP algorithms for contact problems. Zbl 1254.90147
Jarošová, Marta; Klawonn, Axel; Rheinbach, Oliver
3
2012
A hybrid approach to 3-level FETI. Zbl 1392.65114
Klawonn, Axel; Rheinbach, Oliver
3
2008
Adaptive coarse spaces for FETI-DP in three dimensions with applications to heterogeneous diffusion problems. Zbl 1367.65186
Klawonn, Axel; Kühn, Martin; Rheinbach, Oliver
3
2017
A nonlinear FETI-DP method with an inexact coarse problem. Zbl 1339.65218
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver
3
2016
Adaptive GDSW coarse spaces for overlapping Schwarz methods in three dimensions. Zbl 1425.65045
Heinlein, Alexander; Klawonn, Axel; Knepper, Jascha; Rheinbach, Oliver
2
2019
New nonlinear FETI-DP methods based on a partial nonlinear elimination of variables. Zbl 1367.65171
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver; Uran, Matthias
2
2017
Exact and inexact FETI-DP methods for spectral elements in two dimensions. Zbl 1139.65322
Klawonn, Axel; Rheinbach, Oliver; Pavarino, Luca F.
1
2008
A Newton-Krylov-FETI-DP method with an adaptive coarse space applied to elastoplasticity. Zbl 1383.74087
Klawonn, Axel; Radtke, Patrick; Rheinbach, Oliver
1
2016
A three-level extension of the GDSW overlapping Schwarz preconditioner in two dimensions. Zbl 1433.65333
Heinlein, Alexander; Klawonn, Axel; Rheinbach, Oliver; Röver, Friederike
1
2019
Preconditioning the coarse problem of BDDC methods – three-level, algebraic multigrid, and vertex-based preconditioners. Zbl 1447.65122
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver; Weber, Janine
1
2019
An adaptive GDSW coarse space for two-level overlapping Schwarz methods in two dimensions. Zbl 1450.65164
Heinlein, Alexander; Klawonn, Axel; Knepper, Jascha; Rheinbach, Oliver
1
2018
Adaptive GDSW coarse spaces for overlapping Schwarz methods in three dimensions. Zbl 1425.65045
Heinlein, Alexander; Klawonn, Axel; Knepper, Jascha; Rheinbach, Oliver
2
2019
A three-level extension of the GDSW overlapping Schwarz preconditioner in two dimensions. Zbl 1433.65333
Heinlein, Alexander; Klawonn, Axel; Rheinbach, Oliver; Röver, Friederike
1
2019
Preconditioning the coarse problem of BDDC methods – three-level, algebraic multigrid, and vertex-based preconditioners. Zbl 1447.65122
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver; Weber, Janine
1
2019
Multiscale coarse spaces for overlapping Schwarz methods based on the ACMS space in 2D. Zbl 1448.65263
Heinlein, Alexander; Klawonn, Axel; Knepper, Jascha; Rheinbach, Oliver
11
2018
Adaptive FETI-DP and BDDC methods with a generalized transformation of basis for heterogeneous problems. Zbl 1448.65236
Klawonn, Axel; Kühn, Martin; Rheinbach, Oliver
7
2018
Nonlinear BDDC methods with approximate solvers. Zbl 1410.65473
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver
5
2018
An adaptive GDSW coarse space for two-level overlapping Schwarz methods in two dimensions. Zbl 1450.65164
Heinlein, Alexander; Klawonn, Axel; Knepper, Jascha; Rheinbach, Oliver
1
2018
Parallel overlapping Schwarz with an energy-minimizing coarse space. Zbl 1367.65043
Heinlein, Alexander; Klawonn, Axel; Rheinbach, Oliver
7
2017
Nonlinear FETI-DP and BDDC methods: a unified framework and parallel results. Zbl 1377.65163
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver; Uran, Matthias
5
2017
Adaptive coarse spaces for FETI-DP in three dimensions with applications to heterogeneous diffusion problems. Zbl 1367.65186
Klawonn, Axel; Kühn, Martin; Rheinbach, Oliver
3
2017
New nonlinear FETI-DP methods based on a partial nonlinear elimination of variables. Zbl 1367.65171
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver; Uran, Matthias
2
2017
A comparison of adaptive coarse spaces for iterative substructuring in two dimensions. Zbl 1338.65084
Klawonn, Axel; Radtke, Patrick; Rheinbach, Oliver
24
2016
Adaptive coarse spaces for FETI-DP in three dimensions. Zbl 1346.74168
Klawonn, Axel; Kühn, Martin; Rheinbach, Oliver
23
2016
A highly scalable implementation of inexact nonlinear FETI-DP without sparse direct solvers. Zbl 1352.65627
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver
7
2016
A parallel implementation of a two-level overlapping Schwarz method with energy-minimizing coarse space based on trilinos. Zbl 1355.65168
Heinlein, Alexander; Klawonn, Axel; Rheinbach, Oliver
7
2016
Adaptive coarse spaces for BDDC with a transformation of basis. Zbl 1339.65238
Klawonn, Axel; Radtke, Patrick; Rheinbach, Oliver
6
2016
Parallel two-level overlapping Schwarz methods in fluid-structure interaction. Zbl 1387.74108
Heinlein, Alexander; Klawonn, Axel; Rheinbach, Oliver
5
2016
A nonlinear FETI-DP method with an inexact coarse problem. Zbl 1339.65218
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver
3
2016
A Newton-Krylov-FETI-DP method with an adaptive coarse space applied to elastoplasticity. Zbl 1383.74087
Klawonn, Axel; Radtke, Patrick; Rheinbach, Oliver
1
2016
FETI-DP methods with an adaptive coarse space. Zbl 1327.65063
Klawonn, A.; Radtke, P.; Rheinbach, O.
32
2015
Toward extremely scalable nonlinear domain decomposition methods for elliptic partial differential equations. Zbl 1329.65294
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver
16
2015
The approximate component mode synthesis special finite element method in two dimensions: parallel implementation and numerical results. Zbl 1326.65160
Heinlein, A.; Hetmaniuk, U.; Klawonn, A.; Rheinbach, O.
6
2015
A deflation based coarse space in dual-primal FETI methods for almost incompressible elasticity. Zbl 1321.74070
Gippert, Sabrina; Klawonn, Axel; Rheinbach, Oliver
4
2015
Nonlinear FETI-DP and BDDC methods. Zbl 1296.65178
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver
12
2014
On an adaptive coarse space and on nonlinear domain decomposition. Zbl 1382.65448
Klawonn, Axel; Lanser, Martin; Radtke, Patrick; Rheinbach, Oliver
12
2014
Deflation, projector preconditioning, and balancing in iterative substructuring methods: Connections and new results. Zbl 1248.65129
Klawonn, Axel; Rheinbach, Oliver
12
2012
Analysis of FETI-DP and BDDC for linear elasticity in 3D with almost incompressible components and varying coefficients inside subdomains. Zbl 1255.74063
Gippert, Sabrina; Klawonn, Axel; Rheinbach, Oliver
10
2012
Projector preconditioning and transformation of basis in FETI-DP algorithms for contact problems. Zbl 1254.90147
Jarošová, Marta; Klawonn, Axel; Rheinbach, Oliver
3
2012
FETI-DP domain decomposition methods for elasticity with structural changes: \({P}\)-elasticity. Zbl 1268.74037
Klawonn, Axel; Neff, Patrizio; Rheinbach, Oliver; Vanis, Stefanie
6
2011
Highly scalable parallel domain decomposition methods with an application to biomechanics. Zbl 1355.65169
Klawonn, Axel; Rheinbach, Oliver
32
2010
On the mechanical modeling of anisotropic biological soft tissue and iterative parallel solution strategies. Zbl 1271.74314
Balzani, D.; Brands, D.; Klawonn, A.; Rheinbach, O.; Schröder, J.
4
2010
Parallel iterative substructuring in structural mechanics. Zbl 1179.74157
Rheinbach, Oliver
10
2009
An analysis of a FETI – DP algorithm on irregular subdomains in the plane. Zbl 1176.65135
Klawonn, Axel; Rheinbach, Oliver; Widlund, Olof B.
46
2008
Spectral element FETI-DP and BDDC preconditioners with multi-element subdomains. Zbl 1228.74084
Klawonn, Axel; Pavarino, Luca F.; Rheinbach, Oliver
12
2008
A hybrid approach to 3-level FETI. Zbl 1392.65114
Klawonn, Axel; Rheinbach, Oliver
3
2008
Exact and inexact FETI-DP methods for spectral elements in two dimensions. Zbl 1139.65322
Klawonn, Axel; Rheinbach, Oliver; Pavarino, Luca F.
1
2008
Robust FETI-DP methods for heterogeneous three dimensional elasticity problems. Zbl 1173.74428
Klawonn, Axel; Rheinbach, Oliver
41
2007
Inexact FETI-DP methods. Zbl 1194.74420
Klawonn, Axel; Rheinbach, Oliver
25
2007
A parallel implementation of dual-primal FETI methods for three-dimensional linear elasticity using a transformation of basis. Zbl 1124.74049
Klawonn, Axel; Rheinbach, Oliver
19
2006
Parallel scalable iterative substructuring: robust exact and inexact FETI-DP methods with applications to elasticity. Zbl 1227.65002
Rheinbach, Oliver
4
2006
Some computational results for dual-primal FETI methods for elliptic problems in 3D. Zbl 1067.65128
Klawonn, Axel; Rheinbach, Oliver; Widlund, Olof B.
6
2005
all top 5

Cited by 218 Authors

34 Klawonn, Axel
31 Rheinbach, Oliver
13 Lanser, Martin
12 Heinlein, Alexander
12 Widlund, Olof B.
11 Kim, Hyea Hyun
11 Zampini, Stefano
9 Chung, Tsz Shun Eric
8 Wang, Junxian
7 Badia, Santiago
7 Pavarino, Luca Franco
6 Pechstein, Clemens
6 Rahman, Talal
6 Scacchi, Simone
6 Tu, Xuemin
5 Calvo, Juan G.
5 Dohrmann, Clark R.
5 Gander, Martin Jakob
5 Kuhn, Martin
5 Marcinkowski, Leszek
5 Neff, Patrizio
4 Gosselet, Pierre
4 Kozubek, Tomas
4 Martín, Alberto F.
4 Sarkis, Marcus V.
4 Šístek, Jakub
4 Sousedík, Bedřich
4 Spillane, Nicole
3 Beirão da Veiga, Lourenço
3 Brzobohatý, Tomáš
3 Hofer, Christoph D.
3 Knepper, Jascha
3 Li, Jing
3 Loneland, Atle
3 Radtke, Patrick
3 Rixen, Daniel J.
3 Scheichl, Robert
3 Uran, Matthias
3 Weber, Janine
2 Augustin, Christoph M.
2 Bertoluzza, Silvia
2 Cai, Xiao-Chuan
2 Čermák, Martin
2 Chaouqui, Faycal
2 Dryja, Maksymilian
2 Dureisseix, David
2 Eikeland, Erik
2 Galvis, Juan
2 Ghiba, Ionel-Dumitrel
2 Jolivet, Pierre
2 Kučera, Radek
2 Langer, Ulrich
2 Lee, Chang-Ock
2 Madeo, Angela
2 Madureira, Alexandre L.
2 Mandel, Jan
2 Meca, Ondřej
2 Pauly, Dirk
2 Peng, Jie
2 Pennacchio, Micol
2 Prada, Daniele
2 Principe, Javier R.
2 Quarteroni, Alfio M.
2 Rey, Christian A.
2 Říha, Lubomír
2 Santugini-Repiquet, Kévin
2 Shu, Shi
2 Takacs, Stefan
2 Valdman, Jan
1 Agullo, Emmanuel
1 Alart, Pierre
1 Allix, Olivier
1 Amini, A. Mobasher
1 Andrade Pires, F. M.
1 Balzani, Daniel
1 Baumgartner, Stefan
1 Bjørstad, Petter Erling
1 Brands, Dominik
1 Březina, Jan
1 Buannic, Natacha
1 Burda, Pavel
1 Cartraud, Patrice
1 Chagnon, Gregory
1 Champaney, Laurent
1 Cho, Durkbin
1 Ciaramella, Gabriele
1 Cornuault, Christian
1 Daas, Hussam Al
1 Darmofal, David L.
1 Del Vescovo, Dionisio
1 Dostál, Zdeněk
1 Elman, Howard C.
1 Favier, Denis
1 Filelis-Papadopoulos, Christos K.
1 Franzone, P. Colli
1 Fu, Shubin
1 Ganis, Benjamin
1 García Ramos, Luis
1 Giorgio, Ivan
1 Giraud, Luc
...and 118 more Authors
all top 5

Cited in 42 Serials

20 SIAM Journal on Scientific Computing
18 Computer Methods in Applied Mechanics and Engineering
8 ETNA. Electronic Transactions on Numerical Analysis
7 Computers & Mathematics with Applications
7 International Journal for Numerical Methods in Engineering
7 Journal of Computational and Applied Mathematics
6 Journal of Computational Physics
6 Numerische Mathematik
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Applicable Analysis
3 SIAM Journal on Numerical Analysis
3 Computational Mechanics
3 Journal of Scientific Computing
3 Numerical Linear Algebra with Applications
3 Archives of Computational Methods in Engineering
2 Mathematics of Computation
2 Applied Mathematics and Computation
2 Mathematics and Computers in Simulation
2 SIAM Journal on Matrix Analysis and Applications
2 Numerical Algorithms
2 Advances in Computational Mathematics
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Computational Methods in Applied Mathematics
2 Multiscale Modeling & Simulation
1 Communications on Pure and Applied Mathematics
1 International Journal of Engineering Science
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 BIT
1 Calcolo
1 Computing
1 Journal of Differential Equations
1 Transactions of the American Mathematical Society
1 Applied Numerical Mathematics
1 Numerical Methods for Partial Differential Equations
1 Applied Mathematics Letters
1 Journal of Elasticity
1 Archive of Applied Mechanics
1 Continuum Mechanics and Thermodynamics
1 Mathematics and Mechanics of Solids
1 Vietnam Journal of Mathematics
1 Acta Numerica
1 GAMM-Mitteilungen

Citations by Year