Mathematical Institute

Faculty of Mathematics and Natural Sciences

University of Cologne

Email: Axel Klawonn

Tel. +49 221 4707868

Personal Website

Research field: Modelling & Simulation

- Adaptive coarse spaces for FETI-DP in three dimensions with applications to heterogeneous diffusion problems
Klawonn, A. and Kühn, M. and Rheinbach, O.

LECTURE NOTES IN COMPUTATIONAL SCIENCE AND ENGINEERING Volume: 116 (2017) - New nonlinear FETI-DP methods based on a partial nonlinear elimination of variables
Klawonn, A. and Lanser, M. and Rheinbach, O. and Uran, M.

LECTURE NOTES IN COMPUTATIONAL SCIENCE AND ENGINEERING Volume: 116 (2017) - Newton-Krylov-FETI-DP with adaptive coarse spaces
Klawonn, A. and Lanser, M. and Niehoff, B. and Radtke, P. and Rheinbach, O.

LECTURE NOTES IN COMPUTATIONAL SCIENCE AND ENGINEERING Volume: 116 (2017) - Parallel overlapping Schwarz with an energy-minimizing coarse space
Heinlein, A. and Klawonn, A. and Rheinbach, O.

LECTURE NOTES IN COMPUTATIONAL SCIENCE AND ENGINEERING Volume: 116 (2017) - A highly scalable implementation of inexact nonlinear FETI-DP without sparse direct solvers
Klawonn, A. and Lanser, M. and Rheinbach, O.

LECTURE NOTES IN COMPUTATIONAL SCIENCE AND ENGINEERING Volume: 112 (2016) - A Newton-Krylov-FETI-DP method with an adaptive coarse space applied to Elastoplasticity
Klawonn, A. and Radtke, P. and Rheinbach, O.

LECTURE NOTES IN COMPUTATIONAL SCIENCE AND ENGINEERING Volume: 104 (2016) - A nonlinear FETI-DP method with an inexact coarse problem
Klawonn, A. and Lanser, M. and Rheinbach, O.

LECTURE NOTES IN COMPUTATIONAL SCIENCE AND ENGINEERING Volume: 104 (2016) - A parallel implementation of a two-level overlapping schwarz method with energy-minimizing coarse space based on trilinos
Heinlein, A. and Klawonn, A. and Rheinbach, O.

SIAM JOURNAL ON SCIENTIFIC COMPUTING Volume: 38 (2016) - Adaptive coarse spaces for BDDC with a transformation of basis
Klawonn, A. and Radtke, P. and Rheinbach, O.

LECTURE NOTES IN COMPUTATIONAL SCIENCE AND ENGINEERING Volume: 104 (2016) - Adaptive coarse spaces for FETI-DP in three dimensions
Klawonn, A. and Kühn, M. and Rheinbach, O.

SIAM JOURNAL ON SCIENTIFIC COMPUTING Volume: 38 (2016) - FE2TI: Computational scale bridging for dual-phase steels
Klawonn, A. and Lanser, M. and Rheinbach, O.

ADVANCES IN PARALLEL COMPUTING Volume: 27 (2016) - Numerical modeling of fluid–structure interaction in arteries with anisotropic polyconvex hyperelastic and anisotropic viscoelastic material models at finite strains
Balzani, D. and Deparis, S. and Fausten, S. and Forti, D. and Heinlein, A. and Klawonn, A. and Quarteroni, A. and Rheinbach, O. and Schröder, J.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING Volume: 32 (2016) - One-way and fully-coupled FE2 methods for heterogeneous elasticity and plasticity problems: Parallel scalability and an application to thermo-elastoplasticity of dual-phase steels
Balzani, D. and Gandhi, A. and Klawonn, A. and Lanser, M. and Rheinbach, O. and Schröder, J.

LECTURE NOTES IN COMPUTATIONAL SCIENCE AND ENGINEERING Volume: 113 (2016) - Parallel two-level overlapping Schwarz methods in fluid-structure interaction
Heinlein, A. and Klawonn, A. and Rheinbach, O.

LECTURE NOTES IN COMPUTATIONAL SCIENCE AND ENGINEERING Volume: 112 (2016) - Scalability of classical algebraic multigrid for elasticity to half a million parallel tasks
Baker, A.H. and Klawonn, A. and Kolev, T. and Lanser, M. and Rheinbach, O. and Yang, U.M.

LECTURE NOTES IN COMPUTATIONAL SCIENCE AND ENGINEERING Volume: 113 (2016) - A deflation based coarse space in dual-primal feti methods for almost incompressible elasticity
Gippert, S. and Klawonn, A. and Rheinbach, O.

LECTURE NOTES IN COMPUTATIONAL SCIENCE AND ENGINEERING Volume: 103 (2015) - FETI-DP methods with an adaptive coarse space
Klawonn, A. and Radtke, P. and Rheinbach, O.

SIAM JOURNAL ON NUMERICAL ANALYSIS Volume: 53 (2015) - Hybrid mpi/openmp parallelization in feti-dp methods
Klawonn, A. and Lanser, M. and Rheinbach, O. and Stengel, H. and Wellein, G.

LECTURE NOTES IN COMPUTATIONAL SCIENCE AND ENGINEERING Volume: 105 (2015) - The approximate component mode synthesis special finite element method in two dimensions: Parallel implementation and numerical results
Heinlein, A. and Hetmaniuk, U. and Klawonn, A. and Rheinbach, O.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 289 (2015) - Toward extremely scalable nonlinear domain decomposition methods for elliptic partial differential equations
Klawonn, A. and Lanser, M. and Rheinbach, O.

SIAM JOURNAL ON SCIENTIFIC COMPUTING Volume: 37 (2015) - Nonlinear feti-dp and bddc methods
Klawonn, A. and Lanser, M. and Rheinbach, O.

SIAM JOURNAL ON SCIENTIFIC COMPUTING Volume: 36 (2014) - On an adaptive coarse space and on nonlinear domain decomposition
Klawonn, A. and Lanser, M. and Radtke, P. and Rheinbach, O.

LECTURE NOTES IN COMPUTATIONAL SCIENCE AND ENGINEERING Volume: 98 (2014) - On an Adaptive Coarse Space and on Nonlinear Domain Decomposition
Klawonn, A. and Lanser, M. and Radtke, P. and Rheinbach, O.

DOMAIN DECOMPOSITION METHODS IN SCIENCE AND ENGINEERING XXI Volume: 98 (2014) - A Simultaneous Augmented Lagrange Approach for the Simulation of Soft Biological Tissue
Böse, D. and Brinkhues, S. and Erbel, R. and Klawonn, A. and Rheinbach, O. and Schröder, J.

LECTURE NOTES IN COMPUTATIONAL SCIENCE AND ENGINEERING Volume: 91 (2013) - Augmented Lagrange methods for quasi-incompressible materials-Applications to soft biological tissue
Brinkhues, S. and Klawonn, A. and Rheinbach, O. and Schröder, J.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING Volume: 29 (2013) - FETI-DP for Elasticity with Almost Incompressible Material Components
Gippert, S. and Klawonn, A. and Rheinbach, O.

LECTURE NOTES IN COMPUTATIONAL SCIENCE AND ENGINEERING Volume: 91 (2013) - Analysis of FETI-DP and BDDC for linear elasticity in 3D with almost incompressible components and varying coefficients inside subdomains
Gippert, S. and Klawonn, A. and Rheinbach, O.

SIAM JOURNAL ON NUMERICAL ANALYSIS Volume: 50 (2012) - Deflation, projector preconditioning, and balancing in iterative substructuring methods: Connections and new results
Klawonn, A. and Rheinbach, O.

SIAM JOURNAL ON SCIENTIFIC COMPUTING Volume: 34 (2012) - Parallel simulation of patient-specific atherosclerotic arteries for the enhancement of intravascular ultrasound diagnostics
Balzani, D. and Böse, D. and Brands, D. and Erbel, R. and Klawonn, A. and Rheinbach, O. and Schröder, J.

ENGINEERING COMPUTATIONS (SWANSEA, WALES) Volume: 29 (2012) - Projector preconditioning and transformation of basis in FETI-DP algorithms for contact problems
Jarošová, M. and Klawonn, A. and Rheinbach, O.

MATHEMATICS AND COMPUTERS IN SIMULATION Volume: 82 (2012) - FETI-DP domain decomposition methods for elasticity with structural changes: P-elasticity
Klawonn, A. and Neff, P. and Rheinbach, O. and Vanis, S.

ESAIM: MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS Volume: 45 (2011) - Highly scalable parallel domain decomposition methods with an application to biomechanics
Klawonn, A. and Rheinbach, O.

ZAMM ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK Volume: 90 (2010) - On the mechanical modeling of anisotropic biological soft tissue and iterative parallel solution strategies
Balzani, D. and Brands, D. and Klawonn, A. and Rheinbach, O. and Schröder, J.

ARCHIVE OF APPLIED MECHANICS Volume: 80 (2010) - Solving geometrically exact micromorphic elasticity with a staggered algorithm
Klawonn, A. and Neff, P. and Rheinbach, O. and Vanis, S.

GAMM MITTEILUNGEN Volume: 33 (2010)