Axel Klawonn - RankMe

67 papers C 1Journal 53Unranked 8

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Two-level nonlinear Schwarz methods - a parallel implementation with application to nonlinear elasticity and incompressible flow problems. CoRR Kyrill Ho, Axel Klawonn, Martin Lanser
2025	J	`jnl`	A Flow-rate-conserving CNN-based Domain Decomposition Method for Blood Flow Simulations. CoRR Simon Klaes, Axel Klawonn, Natalie Kubicki, Martin Lanser, Kengo Nakajima, Takashi Shimokawabe, Janine Weber
2025	J	`jnl`	Highly Scalable Two-level Monolithic Overlapping Schwarz Preconditioners for Thermo-elastoplastic Laser Beam Welding Problems. CoRR Tommaso Bevilacqua, Axel Klawonn, Martin Lanser
2025	J	`jnl`	Large-scale Thermo-Mechanical Simulation of Laser Beam Welding Using High-Performance Computing: A Qualitative Reproduction of Experimental Results. CoRR Tommaso Bevilacqua, Andrey Gumenyuk, Niloufar Habibi, Philipp Hartwig, Axel Klawonn, Martin Lanser, Michael Rethmeier, Lisa Scheunemann, Jörg Schröder
2025	J	`jnl`	Learning the solution operator of two-dimensional incompressible Navier-Stokes equations using physics-aware convolutional neural networks. J. Comput. Phys. Viktor Grimm, Alexander Heinlein, Axel Klawonn
2025	J	`jnl`	Monolithic and Block Overlapping Schwarz Preconditioners for the Incompressible Navier-Stokes Equations. CoRR Alexander Heinlein, Axel Klawonn, Jascha Knepper, Lea Sassmannshausen
2025	J	`jnl`	Preconditioning a Fluid-Structure Interaction Problem Using Monolithic and Block Domain Decomposition Methods for the Fluid. CoRR Axel Klawonn, Jascha Knepper, Lea Sassmannshausen
2025	—	`conf`	Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations. PASC Dinesh Parthasarathy, Tommaso Bevilacqua, Martin Lanser, Axel Klawonn, Harald Köstler
2025	J	`jnl`	Towards a parallel Schwarz solver framework for virtual elements using GDSW coarse spaces. CoRR Tommaso Bevilacqua, Axel Klawonn, Martin Lanser, Adam Wasiak
2024	J	`jnl`	A Continuous Benchmarking Infrastructure for High-Performance Computing Applications. CoRR Christoph Alt, Martin Lanser, Jonas Plewinski, Atin Janki, Axel Klawonn, Harald Köstler, Michael Selzer, Ulrich Rüde
2024	J	`jnl`	A Domain Decomposition-Based CNN-DNN Architecture for Model Parallel Training Applied to Image Recognition Problems. SIAM J. Sci. Comput. Axel Klawonn, Martin Lanser, Janine Weber
2024	J	`jnl`	A continuous benchmarking infrastructure for high-performance computing applications. Int. J. Parallel Emergent Distributed Syst. Christoph Alt, Martin Lanser, Jonas Plewinski, Atin Janki, Axel Klawonn, Harald Köstler, Michael Selzer, Ulrich Rüde
2024	J	`jnl`	Adaptive and frugal BDDC coarse spaces for virtual element discretizations of a Stokes problem with heterogeneous viscosity. CoRR Tommaso Bevilacqua, Axel Klawonn, Martin Lanser
2024	J	`jnl`	Computational homogenization for aerogel-like polydisperse open-porous materials using neural network-based surrogate models on the microscale. CoRR Axel Klawonn, Martin Lanser, Lucas Mager, Ameya Rege
2024	J	`jnl`	Domain-decomposed image classification algorithms using linear discriminant analysis and convolutional neural networks. CoRR Axel Klawonn, Martin Lanser, Janine Weber
2024	J	`jnl`	Learning adaptive coarse basis functions of FETI-DP. J. Comput. Phys. Axel Klawonn, Martin Lanser, Janine Weber
2024	J	`jnl`	Model Parallel Training and Transfer Learning for Convolutional Neural Networks by Domain Decomposition. CoRR Axel Klawonn, Martin Lanser, Janine Weber
2024	J	`jnl`	Monolithic overlapping Schwarz preconditioners for nonlinear finite element simulations of laser beam welding processes. CoRR Tommaso Bevilacqua, Axel Klawonn, Martin Lanser, Adam Wasiak
2024	J	`jnl`	Nonlinear Monolithic Two-Level Schwarz Methods for the Navier-Stokes Equations. CoRR Axel Klawonn, Martin Lanser
2024	J	`jnl`	Nonlinear Two-Level Schwarz Methods: A Parallel Implementation in FROSch. CoRR Alexander Heinlein, Kyrill Ho, Axel Klawonn, Martin Lanser
2024	J	`jnl`	Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations. CoRR Dinesh Parthasarathy, Tommaso Bevilacqua, Martin Lanser, Axel Klawonn, Harald Köstler
2023	J	`jnl`	A Domain Decomposition-Based CNN-DNN Architecture for Model Parallel Training Applied to Image Recognition Problems. CoRR Axel Klawonn, Martin Lanser, Janine Weber
2023	J	`jnl`	A computational framework for pharmaco-mechanical interactions in arterial walls using parallel monolithic domain decomposition methods. CoRR Daniel Balzani, Alexander Heinlein, Axel Klawonn, Jascha Knepper, Sharan Nurani Ramesh, Oliver Rheinbach, Lea Sassmannshausen, Klemens Uhlmann
2023	J	`jnl`	Adaptive Nonlinear Domain Decomposition Methods with an Application to the $p$-Laplacian. SIAM J. Sci. Comput. Alexander Heinlein, Axel Klawonn, Martin Lanser
2023	J	`jnl`	Learning Adaptive Constraints in Nonlinear FETI-DP Methods. CoRR Axel Klawonn, Martin Lanser, Janine Weber
2023	J	`jnl`	Learning the solution operator of two-dimensional incompressible Navier-Stokes equations using physics-aware convolutional neural networks. CoRR Viktor Grimm, Alexander Heinlein, Axel Klawonn
2023	J	`jnl`	Machine learning and domain decomposition methods - a survey. CoRR Axel Klawonn, Martin Lanser, Janine Weber
2022	J	`jnl`	Adaptive GDSW Coarse Spaces of Reduced Dimension for Overlapping Schwarz Methods. SIAM J. Sci. Comput. Alexander Heinlein, Axel Klawonn, Jascha Knepper, Oliver Rheinbach, Olof B. Widlund
2021	J	`jnl`	Combining Machine Learning and Adaptive Coarse Spaces - A Hybrid Approach for Robust FETI-DP Methods in Three Dimensions. SIAM J. Sci. Comput. Alexander Heinlein, Axel Klawonn, Martin Lanser, Janine Weber
2021	J	`jnl`	Energy efficiency of nonlinear domain decomposition methods. Int. J. High Perform. Comput. Appl. Axel Klawonn, Martin Lanser, Oliver Rheinbach, Gerhard Wellein, Markus Wittmann
2020	—	`ch.`	EXASTEEL: Towards a Virtual Laboratory for the Multiscale Simulation of Dual-Phase Steel Using High-Performance Computing. Software for Exascale Computing Axel Klawonn, Martin Lanser, Matthias Uran, Oliver Rheinbach, Stephan Köhler, Jörg Schröder, Lisa Scheunemann, Dominik Brands, Daniel Balzani, Ashutosh Gandhi, Gerhard Wellein, Markus Wittmann, Olaf Schenk, Radim Janalík
2019	J	`jnl`	Adaptive GDSW Coarse Spaces for Overlapping Schwarz Methods in Three Dimensions. SIAM J. Sci. Comput. Alexander Heinlein, Axel Klawonn, Jascha Knepper, Oliver Rheinbach
2019	—	`conf`	Fully Algebraic Two-Level Overlapping Schwarz Preconditioners for Elasticity Problems. ENUMATH Alexander Heinlein, Christian Hochmuth, Axel Klawonn
2019	J	`jnl`	Machine Learning in Adaptive Domain Decomposition Methods - Predicting the Geometric Location of Constraints. SIAM J. Sci. Comput. Alexander Heinlein, Axel Klawonn, Martin Lanser, Janine Weber
2019	—	`conf`	Machine Learning in Adaptive FETI-DP: Reducing the Effort in Sampling. ENUMATH Alexander Heinlein, Axel Klawonn, Martin Lanser, Janine Weber
2019	J	`jnl`	Monolithic Overlapping Schwarz Domain Decomposition Methods with GDSW Coarse Spaces for Incompressible Fluid Flow Problems. SIAM J. Sci. Comput. Alexander Heinlein, Christian Hochmuth, Axel Klawonn
2019	—	`conf`	Stationary Flow Predictions Using Convolutional Neural Networks. ENUMATH Matthias Eichinger, Alexander Heinlein, Axel Klawonn
2018	C	`conf`	Multicore Performance Engineering of Sparse Triangular Solves Using a Modified Roofline Model. SBAC-PAD Markus Wittmann, Georg Hager, Radim Janalík, Martin Lanser, Axel Klawonn, Oliver Rheinbach, Olaf Schenk, Gerhard Wellein
2017	J	`jnl`	Nonlinear FETI-DP and BDDC Methods: A Unified Framework and Parallel Results. SIAM J. Sci. Comput. Axel Klawonn, Martin Lanser, Oliver Rheinbach, Matthias Uran
2016	J	`jnl`	A Parallel Implementation of a Two-Level Overlapping Schwarz Method with Energy-Minimizing Coarse Space Based on Trilinos. SIAM J. Sci. Comput. Alexander Heinlein, Axel Klawonn, Oliver Rheinbach
2016	J	`jnl`	Adaptive Coarse Spaces for FETI-DP in Three Dimensions. SIAM J. Sci. Comput. Axel Klawonn, Martin J. Kühn, Oliver Rheinbach
2016	—	`ch.`	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. Software for Exascale Computing Daniel Balzani, Ashutosh Gandhi, Axel Klawonn, Martin Lanser, Oliver Rheinbach, Jörg Schröder
2016	—	`ch.`	Scalability of Classical Algebraic Multigrid for Elasticity to Half a Million Parallel Tasks. Software for Exascale Computing Allison H. Baker, Axel Klawonn, Tzanio V. Kolev, Martin Lanser, Oliver Rheinbach, Ulrike Meier Yang
2015	—	`conf`	A Highly Scalable Implementation of Inexact Nonlinear FETI-DP Without Sparse Direct Solvers. ENUMATH Axel Klawonn, Martin Lanser, Oliver Rheinbach
2015	—	`conf`	FE PARCO Axel Klawonn, Martin Lanser, Oliver Rheinbach
2015	J	`jnl`	FETI-DP Methods with an Adaptive Coarse Space. SIAM J. Numer. Anal. Axel Klawonn, Patrick Radtke, Oliver Rheinbach
2015	—	`conf`	Parallel Two-Level Overlapping Schwarz Methods in Fluid-Structure Interaction. ENUMATH Alexander Heinlein, Axel Klawonn, Oliver Rheinbach
2015	J	`jnl`	The approximate component mode synthesis special finite element method in two dimensions: Parallel implementation and numerical results. J. Comput. Appl. Math. Alexander Heinlein, Ulrich Hetmaniuk, Axel Klawonn, Oliver Rheinbach
2015	J	`jnl`	Toward Extremely Scalable Nonlinear Domain Decomposition Methods for Elliptic Partial Differential Equations. SIAM J. Sci. Comput. Axel Klawonn, Martin Lanser, Oliver Rheinbach
2014	J	`jnl`	Nonlinear FETI-DP and BDDC Methods. SIAM J. Sci. Comput. Axel Klawonn, Martin Lanser, Oliver Rheinbach
2013	—	`conf`	A Deflation Based Coarse Space in Dual-Primal FETI Methods for Almost Incompressible Elasticity. ENUMATH Sabrina Gippert, Axel Klawonn, Oliver Rheinbach
2013	—	`ch.`	A Simultaneous Augmented Lagrange Approach for the Simulation of Soft Biological Tissue. Domain Decomposition Methods in Science and Engineering XX Dirk Böse, Sarah Brinkhues, Raimund Erbel, Axel Klawonn, Oliver Rheinbach, Jörg Schröder
2013	—	`ch.`	FETI-DP for Elasticity with Almost Incompressible Material Components. Domain Decomposition Methods in Science and Engineering XX Sabrina Gippert, Axel Klawonn, Oliver Rheinbach
2012	J	`jnl`	Analysis of FETI-DP and BDDC for Linear Elasticity in 3D with Almost Incompressible Components and Varying Coefficients Inside Subdomains. SIAM J. Numer. Anal. Sabrina Gippert, Axel Klawonn, Oliver Rheinbach
2012	J	`jnl`	Deflation, Projector Preconditioning, and Balancing in Iterative Substructuring Methods: Connections and New Results. SIAM J. Sci. Comput. Axel Klawonn, Oliver Rheinbach
2012	J	`jnl`	Projector preconditioning and transformation of basis in FETI-DP algorithms for contact problems. Math. Comput. Simul. Marta Jarosová, Axel Klawonn, Oliver Rheinbach
2008	J	`jnl`	An Analysis of a FETI-DP Algorithm on Irregular Subdomains in the Plane. SIAM J. Numer. Anal. Axel Klawonn, Oliver Rheinbach, Olof B. Widlund
2008	J	`jnl`	Domain Decomposition for Less Regular Subdomains: Overlapping Schwarz in Two Dimensions. SIAM J. Numer. Anal. Clark R. Dohrmann, Axel Klawonn, Olof B. Widlund
2006	J	`jnl`	A Parallel Implementation of Dual-Primal FETI Methods for Three-Dimensional Linear Elasticity Using a Transformation of Basis. SIAM J. Sci. Comput. Axel Klawonn, Oliver Rheinbach
2004	J	`jnl`	A preconditioner for the equations of linear elasticity discretized by the PEERS element. Numer. Linear Algebra Appl. Axel Klawonn, Gerhard Starke
2002	J	`jnl`	Dual-Primal FETI Methods for Three-Dimensional Elliptic Problems with Heterogeneous Coefficients. SIAM J. Numer. Anal. Axel Klawonn, Olof B. Widlund, Maksymilian Dryja
2001	J	`jnl`	A FETI Domain Decomposition Method for Edge Element Approximations in Two Dimensions with Discontinuous Coefficients. SIAM J. Numer. Anal. Andrea Toselli, Axel Klawonn
2000	J	`jnl`	A Domain Decomposition Method with Lagrange Multipliers and Inexact Solvers for Linear Elasticity. SIAM J. Sci. Comput. Axel Klawonn, Olof B. Widlund
2000	J	`jnl`	A comparison of overlapping Schwarz methods and block preconditioners for saddle point problems. Numer. Linear Algebra Appl. Axel Klawonn, Luca F. Pavarino
1999	J	`jnl`	Block triangular preconditioners for nonsymmetric saddle point problems: field-of-values analysis. Numerische Mathematik Axel Klawonn, Gerhard Starke
1998	J	`jnl`	An Optimal Preconditioner for a Class of Saddle Point Problems with a Penalty Term. SIAM J. Sci. Comput. Axel Klawonn
1998	J	`jnl`	Block-Triangular Preconditioners for Saddle Point Problems with a Penalty Term. SIAM J. Sci. Comput. Axel Klawonn