Axel Klawonn

Publication Activity (10 Years)

Years Active: 1998-2024
Publications (10 Years): 30

Top Topics

Decomposition Methods

Machine Learning

Parallel Implementation

Top Venues

SIAM J. Sci. Comput.

Int. J. Parallel Emergent Distributed Syst.

Publications

Christoph Alt, Martin Lanser, Jonas Plewinski, Atin Janki, Axel Klawonn, Harald Köstler, Michael Selzer, Ulrich Rüde
A continuous benchmarking infrastructure for high-performance computing applications. Int. J. Parallel Emergent Distributed Syst. 39 (4) (2024)
Christoph Alt, Martin Lanser, Jonas Plewinski, Atin Janki, Axel Klawonn, Harald Köstler, Michael Selzer, Ulrich Rüde
A Continuous Benchmarking Infrastructure for High-Performance Computing Applications. CoRR (2024)
Axel Klawonn, Martin Lanser, Janine Weber
Learning adaptive coarse basis functions of FETI-DP. J. Comput. Phys. 496 (2024)
Axel Klawonn, Martin Lanser, Lucas Mager, Ameya Rege
Computational homogenization for aerogel-like polydisperse open-porous materials using neural network-based surrogate models on the microscale. CoRR (2024)
Tommaso Bevilacqua, Axel Klawonn, Martin Lanser, Adam Wasiak
Monolithic overlapping Schwarz preconditioners for nonlinear finite element simulations of laser beam welding processes. CoRR (2024)
Viktor Grimm, Alexander Heinlein, Axel Klawonn
Learning the solution operator of two-dimensional incompressible Navier-Stokes equations using physics-aware convolutional neural networks. CoRR (2023)
Axel Klawonn, Martin Lanser, Janine Weber
A Domain Decomposition-Based CNN-DNN Architecture for Model Parallel Training Applied to Image Recognition Problems. CoRR (2023)
Axel Klawonn, Martin Lanser, Janine Weber
Learning Adaptive Constraints in Nonlinear FETI-DP Methods. CoRR (2023)
Alexander Heinlein, Axel Klawonn, Martin Lanser
Adaptive Nonlinear Domain Decomposition Methods with an Application to the $p$-Laplacian. SIAM J. Sci. Comput. 45 (3) (2023)
Axel Klawonn, Martin Lanser, Janine Weber
Machine learning and domain decomposition methods - a survey. CoRR (2023)
Daniel Balzani, Alexander Heinlein, Axel Klawonn, Jascha Knepper, Sharan Nurani Ramesh, Oliver Rheinbach, Lea Sassmannshausen, Klemens Uhlmann
A computational framework for pharmaco-mechanical interactions in arterial walls using parallel monolithic domain decomposition methods. CoRR (2023)
Alexander Heinlein, Axel Klawonn, Jascha Knepper, Oliver Rheinbach, Olof B. Widlund
Adaptive GDSW Coarse Spaces of Reduced Dimension for Overlapping Schwarz Methods. SIAM J. Sci. Comput. 44 (3) (2022)
Alexander Heinlein, Axel Klawonn, Martin Lanser, Janine Weber
Combining Machine Learning and Adaptive Coarse Spaces - A Hybrid Approach for Robust FETI-DP Methods in Three Dimensions. SIAM J. Sci. Comput. 43 (5) (2021)
Axel Klawonn, Martin Lanser, Oliver Rheinbach, Gerhard Wellein, Markus Wittmann
Energy efficiency of nonlinear domain decomposition methods. Int. J. High Perform. Comput. Appl. 35 (3) (2021)
Matthias Eichinger, Alexander Heinlein, Axel Klawonn
Stationary Flow Predictions Using Convolutional Neural Networks. ENUMATH (2019)
Alexander Heinlein, Christian Hochmuth, Axel Klawonn
Fully Algebraic Two-Level Overlapping Schwarz Preconditioners for Elasticity Problems. ENUMATH (2019)
Alexander Heinlein, Christian Hochmuth, Axel Klawonn
Monolithic Overlapping Schwarz Domain Decomposition Methods with GDSW Coarse Spaces for Incompressible Fluid Flow Problems. SIAM J. Sci. Comput. 41 (4) (2019)
Alexander Heinlein, Axel Klawonn, Martin Lanser, Janine Weber
Machine Learning in Adaptive FETI-DP: Reducing the Effort in Sampling. ENUMATH (2019)
Alexander Heinlein, Axel Klawonn, Martin Lanser, Janine Weber
Machine Learning in Adaptive Domain Decomposition Methods - Predicting the Geometric Location of Constraints. SIAM J. Sci. Comput. 41 (6) (2019)
Alexander Heinlein, Axel Klawonn, Jascha Knepper, Oliver Rheinbach
Adaptive GDSW Coarse Spaces for Overlapping Schwarz Methods in Three Dimensions. SIAM J. Sci. Comput. 41 (5) (2019)
Markus Wittmann, Georg Hager, Radim Janalík, Martin Lanser, Axel Klawonn, Oliver Rheinbach, Olaf Schenk, Gerhard Wellein
Multicore Performance Engineering of Sparse Triangular Solves Using a Modified Roofline Model. SBAC-PAD (2018)
Axel Klawonn, Martin Lanser, Oliver Rheinbach, Matthias Uran
Nonlinear FETI-DP and BDDC Methods: A Unified Framework and Parallel Results. SIAM J. Sci. Comput. 39 (6) (2017)
Alexander Heinlein, Axel Klawonn, Oliver Rheinbach
A Parallel Implementation of a Two-Level Overlapping Schwarz Method with Energy-Minimizing Coarse Space Based on Trilinos. SIAM J. Sci. Comput. 38 (6) (2016)
Axel Klawonn, Martin Kühn, Oliver Rheinbach
Adaptive Coarse Spaces for FETI-DP in Three Dimensions. SIAM J. Sci. Comput. 38 (5) (2016)
Alexander Heinlein, Ulrich Hetmaniuk, Axel Klawonn, Oliver Rheinbach
The approximate component mode synthesis special finite element method in two dimensions: Parallel implementation and numerical results. J. Comput. Appl. Math. 289 (2015)
Axel Klawonn, P. Radtke, Oliver Rheinbach
FETI-DP Methods with an Adaptive Coarse Space. SIAM J. Numer. Anal. 53 (1) (2015)
Axel Klawonn, Martin Lanser, Oliver Rheinbach
Toward Extremely Scalable Nonlinear Domain Decomposition Methods for Elliptic Partial Differential Equations. SIAM J. Sci. Comput. 37 (6) (2015)
Axel Klawonn, Martin Lanser, Oliver Rheinbach
A Highly Scalable Implementation of Inexact Nonlinear FETI-DP Without Sparse Direct Solvers. ENUMATH (2015)
Alexander Heinlein, Axel Klawonn, Oliver Rheinbach
Parallel Two-Level Overlapping Schwarz Methods in Fluid-Structure Interaction. ENUMATH (2015)
Axel Klawonn, Martin Lanser, Oliver Rheinbach
TI: Computational Scale Bridging for Dual-Phase Steels. PARCO (2015)
Axel Klawonn, Martin Lanser, Oliver Rheinbach
Nonlinear FETI-DP and BDDC Methods. SIAM J. Sci. Comput. 36 (2) (2014)
Sabrina Gippert, Axel Klawonn, Oliver Rheinbach
A Deflation Based Coarse Space in Dual-Primal FETI Methods for Almost Incompressible Elasticity. ENUMATH (2013)
Marta Jarosová, Axel Klawonn, Oliver Rheinbach
Projector preconditioning and transformation of basis in FETI-DP algorithms for contact problems. Math. Comput. Simul. 82 (10) (2012)
Axel Klawonn, Oliver Rheinbach
Deflation, Projector Preconditioning, and Balancing in Iterative Substructuring Methods: Connections and New Results. SIAM J. Sci. Comput. 34 (1) (2012)
Sabrina Gippert, Axel Klawonn, Oliver Rheinbach
Analysis of FETI-DP and BDDC for Linear Elasticity in 3D with Almost Incompressible Components and Varying Coefficients Inside Subdomains. SIAM J. Numer. Anal. 50 (5) (2012)
Axel Klawonn, Oliver Rheinbach, Olof B. Widlund
An Analysis of a FETI-DP Algorithm on Irregular Subdomains in the Plane. SIAM J. Numer. Anal. 46 (5) (2008)
Clark R. Dohrmann, Axel Klawonn, Olof B. Widlund
Domain Decomposition for Less Regular Subdomains: Overlapping Schwarz in Two Dimensions. SIAM J. Numer. Anal. 46 (4) (2008)
Axel Klawonn, Oliver Rheinbach
A Parallel Implementation of Dual-Primal FETI Methods for Three-Dimensional Linear Elasticity Using a Transformation of Basis. SIAM J. Sci. Comput. 28 (5) (2006)
Axel Klawonn, Gerhard Starke
A preconditioner for the equations of linear elasticity discretized by the PEERS element. Numer. Linear Algebra Appl. 11 (5-6) (2004)
Axel Klawonn, Olof B. Widlund, Maksymilian Dryja
Dual-Primal FETI Methods for Three-Dimensional Elliptic Problems with Heterogeneous Coefficients. SIAM J. Numer. Anal. 40 (1) (2002)
Andrea Toselli, Axel Klawonn
A FETI Domain Decomposition Method for Edge Element Approximations in Two Dimensions with Discontinuous Coefficients. SIAM J. Numer. Anal. 39 (3) (2001)
Axel Klawonn, Olof B. Widlund
A Domain Decomposition Method with Lagrange Multipliers and Inexact Solvers for Linear Elasticity. SIAM J. Sci. Comput. 22 (4) (2000)
Axel Klawonn, Luca F. Pavarino
A comparison of overlapping Schwarz methods and block preconditioners for saddle point problems. Numer. Linear Algebra Appl. 7 (1) (2000)
Axel Klawonn, Gerhard Starke
Block triangular preconditioners for nonsymmetric saddle point problems: field-of-values analysis. Numerische Mathematik 81 (4) (1999)
Axel Klawonn
An Optimal Preconditioner for a Class of Saddle Point Problems with a Penalty Term. SIAM J. Sci. Comput. 19 (2) (1998)
Axel Klawonn
Block-Triangular Preconditioners for Saddle Point Problems with a Penalty Term. SIAM J. Sci. Comput. 19 (1) (1998)