Edit Profile (opens in new tab) Klawonn, Axel Co-Author Distance Author ID: klawonn.axel Published as: Klawonn, Axel; Klawonn, A. External Links: MGP Documents Indexed: 99 Publications since 1995, including 1 Book and 5 Additional arXiv Preprints 6 Contributions as Editor Co-Authors: 50 Co-Authors with 99 Joint Publications 1,424 Co-Co-Authors all top 5 Co-Authors 6 single-authored 57 Rheinbach, Oliver 28 Heinlein, Alexander 27 Lanser, Martin 17 Widlund, Olof B. 11 Weber, Janine 7 Kühn, Martin Joachim 6 Radtke, Patrick 5 Knepper, Jascha 4 Cai, Xiao-Chuan 4 Pavarino, Luca Franco 4 Uran, Matthias 3 Balzani, Daniel 3 Benner, Peter 3 Dohrmann, Clark R. 3 Neff, Patrizio 3 Schröder, Jörg 2 Brands, Dominik 2 Dryja, Maksymilian 2 Eichinger, Matthias 2 Gippert, Sabrina 2 Grimm, Viktor 2 Hetmaniuk, Ulrich L. 2 Hochmuth, Christian 2 Kim, Hyea Hyun 2 Röver, Friederike 2 Starke, Gerhard 2 Stoll, Martin 2 Vanis, Stefanie 1 Brenner, Susanne Cecelia 1 Gander, Martin Jakob 1 Halpern, Laurence 1 Haynes, Ronald D. 1 Jarošová, Marta 1 Keyes, David Elliot 1 Köhler, Stephan 1 Lee, Chang-Ock 1 MacLachlan, Scott P. 1 Mager, Lucas 1 Niehoff, Balthasar 1 Park, Eun-Jae 1 Rajamanickam, Sivasankaran 1 Ramesh, Sharan Nurani 1 Rege, Ameya 1 Sarkis, Marcus V. 1 Sassmannshausen, Lea 1 Szyld, Daniel B. 1 Toselli, Andrea 1 Uhlmann, Klemens 1 Vanisy, Stefanie 1 Wasiak, Adam all top 5 Serials 16 SIAM Journal on Scientific Computing 12 ETNA. Electronic Transactions on Numerical Analysis 6 SIAM Journal on Numerical Analysis 5 GAMM-Mitteilungen 4 PAMM. Proceedings in Applied Mathematics and Mechanics 3 Computer Methods in Applied Mechanics and Engineering 3 Computational Mechanics 2 Communications on Pure and Applied Mathematics 2 Numerical Linear Algebra with Applications 2 Lecture Notes in Computational Science and Engineering 1 Journal of Computational Physics 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Numerische Mathematik 1 Archive of Applied Mechanics 1 Vietnam Journal of Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis all top 5 Fields 86 Numerical analysis (65-XX) 42 Mechanics of deformable solids (74-XX) 29 Partial differential equations (35-XX) 14 Computer science (68-XX) 6 General and overarching topics; collections (00-XX) 5 Fluid mechanics (76-XX) 4 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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. 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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. 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