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ORCIDAxel Klawonn
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- affiliation: University of Cologne, Germany
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2020 – today
- 2024
[j31]Axel Klawonn
, Martin Lanser, Janine Weber:
Learning adaptive coarse basis functions of FETI-DP. J. Comput. Phys. 496: 112587 (2024)- [j30]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): 501-523 (2024) - [j29]Axel Klawonn, Martin Lanser, Janine Weber:
A Domain Decomposition-Based CNN-DNN Architecture for Model Parallel Training Applied to Image Recognition Problems. SIAM J. Sci. Comput. 46(5): 557- (2024) - [i14]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 abs/2403.00571 (2024) - [i13]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 abs/2403.01579 (2024) - [i12]Tommaso Bevilacqua, Axel Klawonn, Martin Lanser, Adam Wasiak:
Monolithic overlapping Schwarz preconditioners for nonlinear finite element simulations of laser beam welding processes. CoRR abs/2407.03230 (2024) - [i11]Axel Klawonn, Martin Lanser, Janine Weber:
Model Parallel Training and Transfer Learning for Convolutional Neural Networks by Domain Decomposition. CoRR abs/2408.14442 (2024) - [i10]Tommaso Bevilacqua, Axel Klawonn, Martin Lanser:
Adaptive and frugal BDDC coarse spaces for virtual element discretizations of a Stokes problem with heterogeneous viscosity. CoRR abs/2409.02860 (2024) - [i9]Axel Klawonn, Martin Lanser:
Nonlinear Monolithic Two-Level Schwarz Methods for the Navier-Stokes Equations. CoRR abs/2409.03041 (2024) - [i8]Axel Klawonn, Martin Lanser, Janine Weber:
Domain-decomposed image classification algorithms using linear discriminant analysis and convolutional neural networks. CoRR abs/2410.23359 (2024) - [i7]Alexander Heinlein, Kyrill Ho, Axel Klawonn, Martin Lanser:
Nonlinear Two-Level Schwarz Methods: A Parallel Implementation in FROSch. CoRR abs/2410.24138 (2024) - [i6]Dinesh Parthasarathy, Tommaso Bevilacqua, Martin Lanser, Axel Klawonn, Harald Köstler:
Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations. CoRR abs/2412.08186 (2024) - 2023
- [j28]Alexander Heinlein, Axel Klawonn, Martin Lanser:
Adaptive Nonlinear Domain Decomposition Methods with an Application to the $p$-Laplacian. SIAM J. Sci. Comput. 45(3): S152-S172 (2023) - [i5]Axel Klawonn, Martin Lanser, Janine Weber:
A Domain Decomposition-Based CNN-DNN Architecture for Model Parallel Training Applied to Image Recognition Problems. CoRR abs/2302.06564 (2023) - [i4]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 abs/2307.02972 (2023) - [i3]Viktor Grimm, Alexander Heinlein, Axel Klawonn:
Learning the solution operator of two-dimensional incompressible Navier-Stokes equations using physics-aware convolutional neural networks. CoRR abs/2308.02137 (2023) - [i2]Axel Klawonn, Martin Lanser, Janine Weber:
Machine learning and domain decomposition methods - a survey. CoRR abs/2312.14050 (2023) - [i1]Axel Klawonn, Martin Lanser, Janine Weber:
Learning Adaptive Constraints in Nonlinear FETI-DP Methods. CoRR abs/2312.14252 (2023) - 2022
- [j27]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): 1176- (2022) - 2021
- [j26]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) - [j25]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): S816-S838 (2021) - 2020
- [p5]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:
EXASTEEL: Towards a Virtual Laboratory for the Multiscale Simulation of Dual-Phase Steel Using High-Performance Computing. Software for Exascale Computing 2020: 351-404
2010 – 2019
- 2019
- [j24]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): C291-C316 (2019) - [j23]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): A3045-A3072 (2019) - [j22]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): A3887-A3912 (2019) - [c8]Alexander Heinlein, Christian Hochmuth, Axel Klawonn:
Fully Algebraic Two-Level Overlapping Schwarz Preconditioners for Elasticity Problems. ENUMATH 2019: 531-539 - [c7]Matthias Eichinger, Alexander Heinlein, Axel Klawonn:
Stationary Flow Predictions Using Convolutional Neural Networks. ENUMATH 2019: 541-549 - [c6]Alexander Heinlein, Axel Klawonn, Martin Lanser, Janine Weber:
Machine Learning in Adaptive FETI-DP: Reducing the Effort in Sampling. ENUMATH 2019: 593-603 - 2018
- [c5]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: 233-241 - 2017
- [j21]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) - 2016
- [j20]Axel Klawonn, Martin J. Kühn, Oliver Rheinbach:
Adaptive Coarse Spaces for FETI-DP in Three Dimensions. SIAM J. Sci. Comput. 38(5) (2016) - [j19]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) - [p4]Daniel Balzani, Ashutosh Gandhi, Axel Klawonn, Martin Lanser, Oliver Rheinbach, Jörg Schröder:
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 2016: 91-112 - [p3]Allison H. Baker, Axel Klawonn, Tzanio V. Kolev, Martin Lanser, Oliver Rheinbach, Ulrike Meier Yang:
Scalability of Classical Algebraic Multigrid for Elasticity to Half a Million Parallel Tasks. Software for Exascale Computing 2016: 113-140 - 2015
- [j18]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: 116-133 (2015) - [j17]Axel Klawonn, Patrick Radtke, Oliver Rheinbach:
FETI-DP Methods with an Adaptive Coarse Space. SIAM J. Numer. Anal. 53(1): 297-320 (2015) - [j16]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) - [c4]Axel Klawonn, Martin Lanser, Oliver Rheinbach:
A Highly Scalable Implementation of Inexact Nonlinear FETI-DP Without Sparse Direct Solvers. ENUMATH 2015: 255-264 - [c3]Alexander Heinlein, Axel Klawonn, Oliver Rheinbach:
Parallel Two-Level Overlapping Schwarz Methods in Fluid-Structure Interaction. ENUMATH 2015: 521-530 - [c2]Axel Klawonn, Martin Lanser, Oliver Rheinbach:
FE2TI: Computational Scale Bridging for Dual-Phase Steels. PARCO 2015: 797-806 - 2014
- [j15]Axel Klawonn, Martin Lanser, Oliver Rheinbach:
Nonlinear FETI-DP and BDDC Methods. SIAM J. Sci. Comput. 36(2) (2014) - 2013
- [c1]Sabrina Gippert, Axel Klawonn, Oliver Rheinbach:
A Deflation Based Coarse Space in Dual-Primal FETI Methods for Almost Incompressible Elasticity. ENUMATH 2013: 573-581 - [p2]Sabrina Gippert, Axel Klawonn, Oliver Rheinbach:
FETI-DP for Elasticity with Almost Incompressible Material Components. Domain Decomposition Methods in Science and Engineering XX 2013: 353-360 - [p1]Dirk Böse, Sarah Brinkhues, Raimund Erbel, Axel Klawonn, Oliver Rheinbach, Jörg Schröder:
A Simultaneous Augmented Lagrange Approach for the Simulation of Soft Biological Tissue. Domain Decomposition Methods in Science and Engineering XX 2013: 369-376 - 2012
- [j14]Marta Jarosová, Axel Klawonn, Oliver Rheinbach:
Projector preconditioning and transformation of basis in FETI-DP algorithms for contact problems. Math. Comput. Simul. 82(10): 1894-1907 (2012) - [j13]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): 2208-2236 (2012) - [j12]Axel Klawonn, Oliver Rheinbach:
Deflation, Projector Preconditioning, and Balancing in Iterative Substructuring Methods: Connections and New Results. SIAM J. Sci. Comput. 34(1) (2012)
2000 – 2009
- 2008
- [j11]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): 2153-2168 (2008) - [j10]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): 2484-2504 (2008) - 2006
- [j9]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): 1886-1906 (2006) - 2004
- [j8]Axel Klawonn, Gerhard Starke:
A preconditioner for the equations of linear elasticity discretized by the PEERS element. Numer. Linear Algebra Appl. 11(5-6): 493-510 (2004) - 2002
- [j7]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): 159-179 (2002) - 2001
- [j6]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): 932-956 (2001) - 2000
- [j5]Axel Klawonn, Luca F. Pavarino:
A comparison of overlapping Schwarz methods and block preconditioners for saddle point problems. Numer. Linear Algebra Appl. 7(1): 1-25 (2000) - [j4]Axel Klawonn, Olof B. Widlund:
A Domain Decomposition Method with Lagrange Multipliers and Inexact Solvers for Linear Elasticity. SIAM J. Sci. Comput. 22(4): 1199-1219 (2000)
1990 – 1999
- 1999
- [j3]Axel Klawonn, Gerhard Starke:
Block triangular preconditioners for nonsymmetric saddle point problems: field-of-values analysis. Numerische Mathematik 81(4): 577-594 (1999) - 1998
- [j2]Axel Klawonn:
Block-Triangular Preconditioners for Saddle Point Problems with a Penalty Term. SIAM J. Sci. Comput. 19(1): 172-184 (1998) - [j1]Axel Klawonn:
An Optimal Preconditioner for a Class of Saddle Point Problems with a Penalty Term. SIAM J. Sci. Comput. 19(2): 540-552 (1998)
Coauthor Index
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