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Author ID: klawonn.axel Recent zbMATH articles by "Klawonn, Axel"
Published as: Klawonn, Axel; Klawonn, A.
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

82 Publications have been cited 1,357 times in 513 Documents Cited by Year
Dual-primal FETI methods for three-dimensional elliptic problems with heterogeneous coefficients. Zbl 1032.65031
Klawonn, Axel; Widlund, Olof B.; Dryja, Maksymilian
108
2002
Dual-primal FETI methods for linear elasticity. Zbl 1110.74053
Klawonn, Axel; Widlund, Olof B.
91
2006
FETI and Neumann-Neumann iterative substructuring methods: Connections and new results. Zbl 1023.65120
Klawonn, Axel; Widlund, Olof B.
75
2001
Block-triangular preconditioners for saddle point problems with a penalty term. Zbl 0917.73069
Klawonn, Axel
71
1998
An analysis of a FETI – DP algorithm on irregular subdomains in the plane. Zbl 1176.65135
Klawonn, Axel; Rheinbach, Oliver; Widlund, Olof B.
56
2008
Robust FETI-DP methods for heterogeneous three dimensional elasticity problems. Zbl 1173.74428
Klawonn, Axel; Rheinbach, Oliver
51
2007
FETI-DP methods with an adaptive coarse space. Zbl 1327.65063
Klawonn, A.; Radtke, P.; Rheinbach, O.
46
2015
Highly scalable parallel domain decomposition methods with an application to biomechanics. Zbl 1355.65169
Klawonn, Axel; Rheinbach, Oliver
44
2010
Adaptive coarse spaces for FETI-DP in three dimensions. Zbl 1346.74168
Klawonn, Axel; Kühn, Martin; Rheinbach, Oliver
41
2016
Domain decomposition for less regular subdomains: Overlapping Schwarz in two dimensions. Zbl 1183.65160
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
38
2008
Overlapping Schwarz methods for mixed linear elasticity and Stokes problems. Zbl 0948.74077
Klawonn, Axel; Pavarino, Luca F.
35
1998
An optimal preconditioner for a class of saddle point problems with a penalty term. Zbl 0912.65018
Klawonn, Axel
35
1998
A comparison of adaptive coarse spaces for iterative substructuring in two dimensions. Zbl 1338.65084
Klawonn, Axel; Radtke, Patrick; Rheinbach, Oliver
35
2016
Block triangular preconditioners for nonsymmetric saddle point problems: Field-of-values analysis. Zbl 0922.65021
Klawonn, Axel; Starke, Gerhard
34
1999
Inexact FETI-DP methods. Zbl 1194.74420
Klawonn, Axel; Rheinbach, Oliver
31
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
30
2006
Nonlinear FETI-DP and BDDC methods. Zbl 1296.65178
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver
27
2014
Toward extremely scalable nonlinear domain decomposition methods for elliptic partial differential equations. Zbl 1329.65294
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver
27
2015
A family of energy minimizing coarse spaces for overlapping Schwarz preconditioners. Zbl 1359.65289
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
25
2008
A comparison of overlapping Schwarz methods and block preconditioners for saddle point problems. Zbl 0982.65036
Klawonn, Axel; Pavarino, Luca F.
25
2000
A domain decomposition method with Lagrange multipliers and inexact solvers for linear elasticity. Zbl 0980.65145
Klawonn, Axel; Widlund, Olof B.
23
2000
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
19
2018
Deflation, projector preconditioning, and balancing in iterative substructuring methods: Connections and new results. Zbl 1248.65129
Klawonn, Axel; Rheinbach, Oliver
18
2012
On an adaptive coarse space and on nonlinear domain decomposition. Zbl 1382.65448
Klawonn, Axel; Lanser, Martin; Radtke, Patrick; Rheinbach, Oliver
17
2014
Spectral element FETI-DP and BDDC preconditioners with multi-element subdomains. Zbl 1228.74084
Klawonn, Axel; Pavarino, Luca F.; Rheinbach, Oliver
16
2008
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
15
2016
Monolithic overlapping Schwarz domain decomposition methods with GDSW coarse spaces for incompressible fluid flow problems. Zbl 1420.65034
Heinlein, Alexander; Hochmuth, Christian; Klawonn, Axel
15
2019
A FETI domain decomposition method for edge element approximations in two dimensions with discontinuous coefficients. Zbl 1001.65124
Toselli, Andrea; Klawonn, Axel
14
2001
Adaptive FETI-DP and BDDC methods with a generalized transformation of basis for heterogeneous problems. Zbl 1448.65236
Klawonn, Axel; Kühn, Martin; Rheinbach, Oliver
13
2018
Nonlinear FETI-DP and BDDC methods: a unified framework and parallel results. Zbl 1377.65163
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver; Uran, Matthias
13
2017
Machine learning in adaptive domain decomposition methods – predicting the geometric location of constraints. Zbl 1429.65065
Heinlein, Alexander; Klawonn, Axel; Lanser, Martin; Weber, Janine
13
2019
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
12
2012
Error estimates for a two-dimensional special finite element method based on component mode synthesis. Zbl 1296.65147
Hetmaniuk, Ulrich; Klawonn, Axel
11
2014
Adaptive GDSW coarse spaces for overlapping Schwarz methods in three dimensions. Zbl 1425.65045
Heinlein, Alexander; Klawonn, Axel; Knepper, Jascha; Rheinbach, Oliver
11
2019
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.
9
2015
Improving the parallel performance of overlapping Schwarz methods by using a smaller energy minimizing coarse space. Zbl 1450.65165
Heinlein, Alexander; Klawonn, Axel; Rheinbach, Oliver; Widlund, Olof B.
9
2018
Selecting constraints in dual-primal FETI methods for elasticity in three dimensions. Zbl 1152.74386
Klawonn, Axel; Widlund, Olof B.
8
2005
A highly scalable implementation of inexact nonlinear FETI-DP without sparse direct solvers. Zbl 1352.65627
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver
8
2016
Parallel overlapping Schwarz with an energy-minimizing coarse space. Zbl 1367.65043
Heinlein, Alexander; Klawonn, Axel; Rheinbach, Oliver
8
2017
Dual-primal FETI methods with face constraints. Zbl 1009.65069
Klawonn, Axel; Widlund, Olof B.; Dryja, Maksymilian
8
2002
Projector preconditioning and transformation of basis in FETI-DP algorithms for contact problems. Zbl 1254.90147
Jarošová, Marta; Klawonn, Axel; Rheinbach, Oliver
8
2012
A three-level extension of the GDSW overlapping Schwarz preconditioner in two dimensions. Zbl 1433.65333
Heinlein, Alexander; Klawonn, Axel; Rheinbach, Oliver; Röver, Friederike
8
2019
FROSch: a fast and robust overlapping Schwarz domain decomposition preconditioner based on Xpetra in Trilinos. Zbl 1509.65138
Heinlein, Alexander; Klawonn, Axel; Rajamanickam, Sivasankaran; Rheinbach, Oliver
8
2020
A hybrid approach to 3-level FETI. Zbl 1392.65114
Klawonn, Axel; Rheinbach, Oliver
8
2008
Preconditioners for indefinite problems. Zbl 0857.65039
Klawonn, Axel
7
1995
Some computational results for dual-primal FETI methods for elliptic problems in 3D. Zbl 1067.65128
Klawonn, Axel; Rheinbach, Oliver; Widlund, Olof B.
7
2005
Parallel two-level overlapping Schwarz methods in fluid-structure interaction. Zbl 1387.74108
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
7
2016
Nonlinear BDDC methods with approximate solvers. Zbl 1410.65473
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver
7
2018
A frugal FETI-DP and BDDC coarse space for heterogeneous problems. Zbl 1460.65136
Heinlein, Alexander; Klawonn, Axel; Lanser, Martin; Weber, Janine
7
2020
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
6
2018
Extending theory for domain decomposition algorithms to irregular subdomains. Zbl 1140.65365
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
5
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
5
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
5
2017
FETI-DP domain decomposition methods for elasticity with structural changes: \({P}\)-elasticity. Zbl 1268.74037
Klawonn, Axel; Neff, Patrizio; Rheinbach, Oliver; Vanis, Stefanie
5
2011
Computational homogenization with million-way parallelism using domain decomposition methods. Zbl 1487.74112
Klawonn, Axel; Köhler, Stephan; Lanser, Martin; Rheinbach, Oliver
5
2020
Combining machine learning and adaptive coarse spaces-a hybrid approach for robust FETI-DP methods in three dimensions. Zbl 1476.65326
Heinlein, Alexander; Klawonn, Axel; Lanser, Martin; Weber, Janine
5
2021
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
Combining machine learning and domain decomposition methods for the solution of partial differential equations – a review. Zbl 1528.65124
Heinlein, Alexander; Klawonn, Axel; Lanser, Martin; Weber, Janine
4
2021
Adaptive GDSW coarse spaces of reduced dimension for overlapping Schwarz methods. Zbl 1492.65344
Heinlein, Alexander; Klawonn, Axel; Knepper, Jascha; Rheinbach, Oliver; Widlund, Olof B.
4
2022
Coarse spaces for FETI-DP and BDDC methods for heterogeneous problems: connections of deflation and a generalized transformation-of-basis approach. Zbl 1469.65167
Klawonn, Axel; Kühn, Martin; Rheinbach, Oliver
4
2020
Fully algebraic two-level overlapping Schwarz preconditioners for elasticity problems. Zbl 1471.65214
Heinlein, Alexander; Hochmuth, Christian; Klawonn, Axel
4
2021
FETI domain decomposition methods for second order elliptic partial differential equations. Zbl 1177.65180
Klawonn, Axel
3
2006
A nonlinear FETI-DP method with an inexact coarse problem. Zbl 1339.65218
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver
3
2016
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.
3
2010
Local spectra of adaptive domain decomposition methods. Zbl 1509.65136
Heinlein, Alexander; Klawonn, Axel; Kühn, Martin J.
3
2020
A three-level extension of the GDSW overlapping Schwarz preconditioner in three dimensions. Zbl 1509.65139
Heinlein, Alexander; Klawonn, Axel; Rheinbach, Oliver; Röver, Friederike
3
2020
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
3
2019
Stationary flow predictions using convolutional neural networks. Zbl 1475.76072
Eichinger, Matthias; Heinlein, Alexander; Klawonn, Axel
3
2021
Estimating the time-dependent contact rate of SIR and SEIR models in mathematical epidemiology using physics-informed neural networks. Zbl 1478.92193
Grimm, Viktor; Heinlein, Alexander; Klawonn, Axel; Lanser, Martin; Weber, Janine
3
2022
New results on FETI methods for elliptic problems with discontinuous coefficients. Zbl 0952.65093
Klawonn, A.; Widlund, O. B.
2
2000
An iterative substructuring method with Lagrange multipliers for elasticity problems using approximate Neumann subdomain solvers. Zbl 0976.74069
Klawonn, A.
2
2000
Newton-Krylov-FETI-DP with adaptive coarse spaces. Zbl 1367.65187
Klawonn, Axel; Lanser, Martin; Niehoff, Balthasar; Radtke, Patrick; Rheinbach, Oliver
2
2017
Machine learning in adaptive FETI-DP – a comparison of smart and random training data. Zbl 1509.65137
Heinlein, Alexander; Klawonn, Axel; Lanser, Martin; Weber, Janine
2
2020
Adaptive and frugal FETI-DP for virtual elements. Zbl 1517.65114
Klawonn, Axel; Lanser, Martin; Wasiak, Adam
2
2023
Machine learning in adaptive FETI-DP: reducing the effort in sampling. Zbl 1475.65213
Heinlein, Alexander; Klawonn, Axel; Lanser, Martin; Weber, Janine
2
2021
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 preconditioner for the equations of linear elasticity discretized by the PEERS element. Zbl 1164.74544
Klawonn, Axel; Starke, Gerhard
1
2004
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
Topical issue scientific machine learning (1/2). Zbl 07778859
1
2021
Surrogate convolutional neural network models for steady computational fluid dynamics simulations. Zbl 1496.76110
Eichinger, Matthias; Heinlein, Alexander; Klawonn, Axel
1
2022
A closer look at local eigenvalue solvers for adaptive FETI-DP and BDDC. Zbl 1514.65191
Klawonn, Axel; Kühn, Martin J.; Rheinbach, Oliver
1
2020
Adaptive and frugal FETI-DP for virtual elements. Zbl 1517.65114
Klawonn, Axel; Lanser, Martin; Wasiak, Adam
2
2023
Adaptive GDSW coarse spaces of reduced dimension for overlapping Schwarz methods. Zbl 1492.65344
Heinlein, Alexander; Klawonn, Axel; Knepper, Jascha; Rheinbach, Oliver; Widlund, Olof B.
4
2022
Estimating the time-dependent contact rate of SIR and SEIR models in mathematical epidemiology using physics-informed neural networks. Zbl 1478.92193
Grimm, Viktor; Heinlein, Alexander; Klawonn, Axel; Lanser, Martin; Weber, Janine
3
2022
Surrogate convolutional neural network models for steady computational fluid dynamics simulations. Zbl 1496.76110
Eichinger, Matthias; Heinlein, Alexander; Klawonn, Axel
1
2022
Combining machine learning and adaptive coarse spaces-a hybrid approach for robust FETI-DP methods in three dimensions. Zbl 1476.65326
Heinlein, Alexander; Klawonn, Axel; Lanser, Martin; Weber, Janine
5
2021
Combining machine learning and domain decomposition methods for the solution of partial differential equations – a review. Zbl 1528.65124
Heinlein, Alexander; Klawonn, Axel; Lanser, Martin; Weber, Janine
4
2021
Fully algebraic two-level overlapping Schwarz preconditioners for elasticity problems. Zbl 1471.65214
Heinlein, Alexander; Hochmuth, Christian; Klawonn, Axel
4
2021
Stationary flow predictions using convolutional neural networks. Zbl 1475.76072
Eichinger, Matthias; Heinlein, Alexander; Klawonn, Axel
3
2021
Machine learning in adaptive FETI-DP: reducing the effort in sampling. Zbl 1475.65213
Heinlein, Alexander; Klawonn, Axel; Lanser, Martin; Weber, Janine
2
2021
Topical issue scientific machine learning (1/2). Zbl 07778859
1
2021
FROSch: a fast and robust overlapping Schwarz domain decomposition preconditioner based on Xpetra in Trilinos. Zbl 1509.65138
Heinlein, Alexander; Klawonn, Axel; Rajamanickam, Sivasankaran; Rheinbach, Oliver
8
2020
A frugal FETI-DP and BDDC coarse space for heterogeneous problems. Zbl 1460.65136
Heinlein, Alexander; Klawonn, Axel; Lanser, Martin; Weber, Janine
7
2020
Computational homogenization with million-way parallelism using domain decomposition methods. Zbl 1487.74112
Klawonn, Axel; Köhler, Stephan; Lanser, Martin; Rheinbach, Oliver
5
2020
Coarse spaces for FETI-DP and BDDC methods for heterogeneous problems: connections of deflation and a generalized transformation-of-basis approach. Zbl 1469.65167
Klawonn, Axel; Kühn, Martin; Rheinbach, Oliver
4
2020
Local spectra of adaptive domain decomposition methods. Zbl 1509.65136
Heinlein, Alexander; Klawonn, Axel; Kühn, Martin J.
3
2020
A three-level extension of the GDSW overlapping Schwarz preconditioner in three dimensions. Zbl 1509.65139
Heinlein, Alexander; Klawonn, Axel; Rheinbach, Oliver; Röver, Friederike
3
2020
Machine learning in adaptive FETI-DP – a comparison of smart and random training data. Zbl 1509.65137
Heinlein, Alexander; Klawonn, Axel; Lanser, Martin; Weber, Janine
2
2020
A closer look at local eigenvalue solvers for adaptive FETI-DP and BDDC. Zbl 1514.65191
Klawonn, Axel; Kühn, Martin J.; Rheinbach, Oliver
1
2020
Monolithic overlapping Schwarz domain decomposition methods with GDSW coarse spaces for incompressible fluid flow problems. Zbl 1420.65034
Heinlein, Alexander; Hochmuth, Christian; Klawonn, Axel
15
2019
Machine learning in adaptive domain decomposition methods – predicting the geometric location of constraints. Zbl 1429.65065
Heinlein, Alexander; Klawonn, Axel; Lanser, Martin; Weber, Janine
13
2019
Adaptive GDSW coarse spaces for overlapping Schwarz methods in three dimensions. Zbl 1425.65045
Heinlein, Alexander; Klawonn, Axel; Knepper, Jascha; Rheinbach, Oliver
11
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
8
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
3
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
19
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
13
2018
Improving the parallel performance of overlapping Schwarz methods by using a smaller energy minimizing coarse space. Zbl 1450.65165
Heinlein, Alexander; Klawonn, Axel; Rheinbach, Oliver; Widlund, Olof B.
9
2018
Nonlinear BDDC methods with approximate solvers. Zbl 1410.65473
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver
7
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
6
2018
Nonlinear FETI-DP and BDDC methods: a unified framework and parallel results. Zbl 1377.65163
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver; Uran, Matthias
13
2017
Parallel overlapping Schwarz with an energy-minimizing coarse space. Zbl 1367.65043
Heinlein, Alexander; Klawonn, Axel; Rheinbach, Oliver
8
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
5
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
5
2017
Newton-Krylov-FETI-DP with adaptive coarse spaces. Zbl 1367.65187
Klawonn, Axel; Lanser, Martin; Niehoff, Balthasar; Radtke, Patrick; Rheinbach, Oliver
2
2017
Adaptive coarse spaces for FETI-DP in three dimensions. Zbl 1346.74168
Klawonn, Axel; Kühn, Martin; Rheinbach, Oliver
41
2016
A comparison of adaptive coarse spaces for iterative substructuring in two dimensions. Zbl 1338.65084
Klawonn, Axel; Radtke, Patrick; Rheinbach, Oliver
35
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
15
2016
A highly scalable implementation of inexact nonlinear FETI-DP without sparse direct solvers. Zbl 1352.65627
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver
8
2016
Parallel two-level overlapping Schwarz methods in fluid-structure interaction. Zbl 1387.74108
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
7
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.
46
2015
Toward extremely scalable nonlinear domain decomposition methods for elliptic partial differential equations. Zbl 1329.65294
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver
27
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.
9
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
27
2014
On an adaptive coarse space and on nonlinear domain decomposition. Zbl 1382.65448
Klawonn, Axel; Lanser, Martin; Radtke, Patrick; Rheinbach, Oliver
17
2014
Error estimates for a two-dimensional special finite element method based on component mode synthesis. Zbl 1296.65147
Hetmaniuk, Ulrich; Klawonn, Axel
11
2014
Deflation, projector preconditioning, and balancing in iterative substructuring methods: Connections and new results. Zbl 1248.65129
Klawonn, Axel; Rheinbach, Oliver
18
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
12
2012
Projector preconditioning and transformation of basis in FETI-DP algorithms for contact problems. Zbl 1254.90147
Jarošová, Marta; Klawonn, Axel; Rheinbach, Oliver
8
2012
FETI-DP domain decomposition methods for elasticity with structural changes: \({P}\)-elasticity. Zbl 1268.74037
Klawonn, Axel; Neff, Patrizio; Rheinbach, Oliver; Vanis, Stefanie
5
2011
Highly scalable parallel domain decomposition methods with an application to biomechanics. Zbl 1355.65169
Klawonn, Axel; Rheinbach, Oliver
44
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.
3
2010
An analysis of a FETI – DP algorithm on irregular subdomains in the plane. Zbl 1176.65135
Klawonn, Axel; Rheinbach, Oliver; Widlund, Olof B.
56
2008
Domain decomposition for less regular subdomains: Overlapping Schwarz in two dimensions. Zbl 1183.65160
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
38
2008
A family of energy minimizing coarse spaces for overlapping Schwarz preconditioners. Zbl 1359.65289
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
25
2008
Spectral element FETI-DP and BDDC preconditioners with multi-element subdomains. Zbl 1228.74084
Klawonn, Axel; Pavarino, Luca F.; Rheinbach, Oliver
16
2008
A hybrid approach to 3-level FETI. Zbl 1392.65114
Klawonn, Axel; Rheinbach, Oliver
8
2008
Extending theory for domain decomposition algorithms to irregular subdomains. Zbl 1140.65365
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
5
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
51
2007
Inexact FETI-DP methods. Zbl 1194.74420
Klawonn, Axel; Rheinbach, Oliver
31
2007
Dual-primal FETI methods for linear elasticity. Zbl 1110.74053
Klawonn, Axel; Widlund, Olof B.
91
2006
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
30
2006
FETI domain decomposition methods for second order elliptic partial differential equations. Zbl 1177.65180
Klawonn, Axel
3
2006
Selecting constraints in dual-primal FETI methods for elasticity in three dimensions. Zbl 1152.74386
Klawonn, Axel; Widlund, Olof B.
8
2005
Some computational results for dual-primal FETI methods for elliptic problems in 3D. Zbl 1067.65128
Klawonn, Axel; Rheinbach, Oliver; Widlund, Olof B.
7
2005
A preconditioner for the equations of linear elasticity discretized by the PEERS element. Zbl 1164.74544
Klawonn, Axel; Starke, Gerhard
1
2004
Dual-primal FETI methods for three-dimensional elliptic problems with heterogeneous coefficients. Zbl 1032.65031
Klawonn, Axel; Widlund, Olof B.; Dryja, Maksymilian
108
2002
Dual-primal FETI methods with face constraints. Zbl 1009.65069
Klawonn, Axel; Widlund, Olof B.; Dryja, Maksymilian
8
2002
FETI and Neumann-Neumann iterative substructuring methods: Connections and new results. Zbl 1023.65120
Klawonn, Axel; Widlund, Olof B.
75
2001
A FETI domain decomposition method for edge element approximations in two dimensions with discontinuous coefficients. Zbl 1001.65124
Toselli, Andrea; Klawonn, Axel
14
2001
A comparison of overlapping Schwarz methods and block preconditioners for saddle point problems. Zbl 0982.65036
Klawonn, Axel; Pavarino, Luca F.
25
2000
A domain decomposition method with Lagrange multipliers and inexact solvers for linear elasticity. Zbl 0980.65145
Klawonn, Axel; Widlund, Olof B.
23
2000
New results on FETI methods for elliptic problems with discontinuous coefficients. Zbl 0952.65093
Klawonn, A.; Widlund, O. B.
2
2000
An iterative substructuring method with Lagrange multipliers for elasticity problems using approximate Neumann subdomain solvers. Zbl 0976.74069
Klawonn, A.
2
2000
Block triangular preconditioners for nonsymmetric saddle point problems: Field-of-values analysis. Zbl 0922.65021
Klawonn, Axel; Starke, Gerhard
34
1999
Block-triangular preconditioners for saddle point problems with a penalty term. Zbl 0917.73069
Klawonn, Axel
71
1998
Overlapping Schwarz methods for mixed linear elasticity and Stokes problems. Zbl 0948.74077
Klawonn, Axel; Pavarino, Luca F.
35
1998
An optimal preconditioner for a class of saddle point problems with a penalty term. Zbl 0912.65018
Klawonn, Axel
35
1998
Preconditioners for indefinite problems. Zbl 0857.65039
Klawonn, Axel
7
1995
all top 5

Cited by 652 Authors

51 Klawonn, Axel
43 Rheinbach, Oliver
24 Heinlein, Alexander
23 Pavarino, Luca Franco
23 Widlund, Olof B.
21 Lanser, Martin
18 Scacchi, Simone
16 Zampini, Stefano
14 Chung, Tsz Shun Eric
14 Kim, Hyea Hyun
11 Gosselet, Pierre
11 Tu, Xuemin
11 Wang, Junxian
10 Dohrmann, Clark R.
10 Li, Jing
10 Mandel, Jan
10 Sousedík, Bedřich
9 Badia, Santiago
9 Dostál, Zdeněk
9 Ma, Changfeng
9 Pechstein, Clemens
8 Axelsson, Axel Owe Holger
8 Shu, Shi
7 Brzobohatý, Tomáš
7 Cai, Xiao-Chuan
7 Farhat, Charbel H.
7 Gander, Martin Jakob
7 Huang, Na
7 Lee, Chang-Ock
7 Rahman, Talal
7 Weber, Janine
6 Beirão da Veiga, Lourenço
6 Hu, Qiya
6 Marcinkowski, Leszek
6 Rey, Christian A.
6 Rixen, Daniel J.
6 Sarkis, Marcus V.
6 Scheichl, Robert
6 Zhang, Guofeng
5 Avery, Philip
5 Calvo, Juan G.
5 Horák, David
5 Jolivet, Pierre
5 Kozubek, Tomas
5 Kühn, Martin Joachim
5 Li, Cuixia
5 Mardal, Kent-Andre
5 Martín, Alberto F.
5 Neff, Patrizio
5 Šístek, Jakub
5 Spillane, Nicole
5 Toselli, Andrea
5 Vlach, Oldřich
5 Wathen, Andrew John
5 Wu, Shiliang
4 Daas, Hussam Al
4 Dassi, Franco
4 Fu, Shubin
4 Karátson, János
4 Knepper, Jascha
4 Park, Eunhee
4 Stefanica, Dan
4 Takacs, Stefan
4 Uran, Matthias
4 Vanzan, Tommaso
4 Winther, Ragnar
3 Benzi, Michele
3 Čermák, Martin
3 Chaouqui, Faycal
3 Ciaramella, Gabriele
3 Dolean, Victorita
3 Dryja, Maksymilian
3 Dureisseix, David
3 Hinojosa, Jorge A.
3 Hofer, Christoph D.
3 Hu, Xiaozhe
3 Hwang, Fengnan
3 Jun, Younbae
3 Keyes, David Elliot
3 Kučera, Radek
3 Kuchta, Miroslav
3 Langer, Ulrich
3 Liang, Zhaozheng
3 Liao, Lidan
3 Liu, Lulu
3 Liu, Yingzhi
3 Loneland, Atle
3 Meca, Ondřej
3 Olshanskii, Maxim A.
3 Papadrakakis, Manolis
3 Peng, Jie
3 Pestana, Jennifer
3 Principe, Javier R.
3 Radtke, Patrick
3 Říha, Lubomír
3 Röver, Friederike
3 Schneckenleitner, Rainer
3 Schröder, Jörg
3 Stavroulakis, George M.
3 Steinbach, Olaf
...and 552 more Authors
all top 5

Cited in 80 Serials

58 Computer Methods in Applied Mechanics and Engineering
50 SIAM Journal on Scientific Computing
27 Journal of Computational Physics
24 Journal of Computational and Applied Mathematics
23 International Journal for Numerical Methods in Engineering
22 Computers & Mathematics with Applications
19 Numerische Mathematik
17 Applied Mathematics and Computation
16 Numerical Linear Algebra with Applications
13 ETNA. Electronic Transactions on Numerical Analysis
12 Applied Numerical Mathematics
11 Mathematics of Computation
11 Computational Mechanics
10 Journal of Scientific Computing
9 Numerical Algorithms
8 SIAM Journal on Numerical Analysis
7 GAMM-Mitteilungen
6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
6 Computational Methods in Applied Mathematics
6 Multiscale Modeling & Simulation
5 SIAM Journal on Matrix Analysis and Applications
4 Computing
4 Mathematics and Computers in Simulation
4 Advances in Computational Mathematics
4 Vietnam Journal of Mathematics
4 Archives of Computational Methods in Engineering
4 Journal of Numerical Mathematics
3 Applicable Analysis
3 Calcolo
3 Applications of Mathematics
3 Acta Numerica
2 Communications on Pure and Applied Mathematics
2 Linear and Multilinear Algebra
2 Numerical Functional Analysis and Optimization
2 Applied Mathematics Letters
2 Mathematical and Computer Modelling
2 International Journal of Computer Mathematics
2 Computing and Visualization in Science
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Communications in Computational Physics
1 Computers and Fluids
1 Computer Physics Communications
1 International Journal of Engineering Science
1 Journal of Engineering Mathematics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 BIT
1 Journal of Differential Equations
1 Transactions of the American Mathematical Society
1 Acta Applicandae Mathematicae
1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Numerical Methods for Partial Differential Equations
1 Japan Journal of Industrial and Applied Mathematics
1 Applied Mathematical Modelling
1 Linear Algebra and its Applications
1 SIAM Journal on Mathematical Analysis
1 SIAM Review
1 Archive of Applied Mechanics
1 Computational Optimization and Applications
1 Computational and Applied Mathematics
1 Engineering Analysis with Boundary Elements
1 Mathematical Problems in Engineering
1 Mathematics and Mechanics of Solids
1 Computational Geosciences
1 Optimization and Engineering
1 Nonlinear Analysis. Real World Applications
1 Discrete and Continuous Dynamical Systems. Series B
1 Structural and Multidisciplinary Optimization
1 International Journal of Computational Methods
1 International Journal of Geometric Methods in Modern Physics
1 Journal of Computational Acoustics
1 Advances in Applied Mathematics and Mechanics
1 International Journal for Numerical Methods in Biomedical Engineering
1 ISRN Computational Mathematics
1 Journal of Mahani Mathematical Research Center
1 East Asian Journal on Applied Mathematics
1 Bollettino dell’Unione Matematica Italiana
1 Communications on Applied Mathematics and Computation
1 Advances in Continuous and Discrete Models

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