Axel Klawonn

Orcid: 0000-0003-4765-7387

Affiliations:
  • University of Cologne, Germany


According to our database1, Axel Klawonn authored at least 49 papers between 1998 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Learning adaptive coarse basis functions of FETI-DP.
J. Comput. Phys., January, 2024

A Continuous Benchmarking Infrastructure for High-Performance Computing Applications.
CoRR, 2024

Computational homogenization for aerogel-like polydisperse open-porous materials using neural network-based surrogate models on the microscale.
CoRR, 2024

2023
Adaptive Nonlinear Domain Decomposition Methods with an Application to the $p$-Laplacian.
SIAM J. Sci. Comput., June, 2023

Learning Adaptive Constraints in Nonlinear FETI-DP Methods.
CoRR, 2023

Machine learning and domain decomposition methods - a survey.
CoRR, 2023

Learning the solution operator of two-dimensional incompressible Navier-Stokes equations using physics-aware convolutional neural networks.
CoRR, 2023

A computational framework for pharmaco-mechanical interactions in arterial walls using parallel monolithic domain decomposition methods.
CoRR, 2023

A Domain Decomposition-Based CNN-DNN Architecture for Model Parallel Training Applied to Image Recognition Problems.
CoRR, 2023

2022
Adaptive GDSW Coarse Spaces of Reduced Dimension for Overlapping Schwarz Methods.
SIAM J. Sci. Comput., 2022

2021
Combining Machine Learning and Adaptive Coarse Spaces - A Hybrid Approach for Robust FETI-DP Methods in Three Dimensions.
SIAM J. Sci. Comput., 2021

Energy efficiency of nonlinear domain decomposition methods.
Int. J. High Perform. Comput. Appl., 2021

2020
EXASTEEL: Towards a Virtual Laboratory for the Multiscale Simulation of Dual-Phase Steel Using High-Performance Computing.
Proceedings of the Software for Exascale Computing - SPPEXA 2016-2019, 2020

2019
Machine Learning in Adaptive Domain Decomposition Methods - Predicting the Geometric Location of Constraints.
SIAM J. Sci. Comput., 2019

Adaptive GDSW Coarse Spaces for Overlapping Schwarz Methods in Three Dimensions.
SIAM J. Sci. Comput., 2019

Monolithic Overlapping Schwarz Domain Decomposition Methods with GDSW Coarse Spaces for Incompressible Fluid Flow Problems.
SIAM J. Sci. Comput., 2019

Machine Learning in Adaptive FETI-DP: Reducing the Effort in Sampling.
Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019

Fully Algebraic Two-Level Overlapping Schwarz Preconditioners for Elasticity Problems.
Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019

Stationary Flow Predictions Using Convolutional Neural Networks.
Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019

2018
Multicore Performance Engineering of Sparse Triangular Solves Using a Modified Roofline Model.
Proceedings of the 30th International Symposium on Computer Architecture and High Performance Computing, 2018

2017
Nonlinear FETI-DP and BDDC Methods: A Unified Framework and Parallel Results.
SIAM J. Sci. Comput., 2017

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.
Proceedings of the Software for Exascale Computing - SPPEXA 2013-2015, 2016

Scalability of Classical Algebraic Multigrid for Elasticity to Half a Million Parallel Tasks.
Proceedings of the Software for Exascale Computing - SPPEXA 2013-2015, 2016

Adaptive Coarse Spaces for FETI-DP in Three Dimensions.
SIAM J. Sci. Comput., 2016

A Parallel Implementation of a Two-Level Overlapping Schwarz Method with Energy-Minimizing Coarse Space Based on Trilinos.
SIAM J. Sci. Comput., 2016

2015
Toward Extremely Scalable Nonlinear Domain Decomposition Methods for Elliptic Partial Differential Equations.
SIAM J. Sci. Comput., 2015

FETI-DP Methods with an Adaptive Coarse Space.
SIAM J. Numer. Anal., 2015

The approximate component mode synthesis special finite element method in two dimensions: Parallel implementation and numerical results.
J. Comput. Appl. Math., 2015

FE<sup>2</sup>TI: Computational Scale Bridging for Dual-Phase Steels.
Proceedings of the Parallel Computing: On the Road to Exascale, 2015

A Highly Scalable Implementation of Inexact Nonlinear FETI-DP Without Sparse Direct Solvers.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2015, 2015

Parallel Two-Level Overlapping Schwarz Methods in Fluid-Structure Interaction.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2015, 2015

2014
Nonlinear FETI-DP and BDDC Methods.
SIAM J. Sci. Comput., 2014

2013
FETI-DP for Elasticity with Almost Incompressible Material Components.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

A Simultaneous Augmented Lagrange Approach for the Simulation of Soft Biological Tissue.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

A Deflation Based Coarse Space in Dual-Primal FETI Methods for Almost Incompressible Elasticity.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2013, 2013

2012
Deflation, Projector Preconditioning, and Balancing in Iterative Substructuring Methods: Connections and New Results.
SIAM J. Sci. Comput., 2012

Analysis of FETI-DP and BDDC for Linear Elasticity in 3D with Almost Incompressible Components and Varying Coefficients Inside Subdomains.
SIAM J. Numer. Anal., 2012

Projector preconditioning and transformation of basis in FETI-DP algorithms for contact problems.
Math. Comput. Simul., 2012

2008
An Analysis of a FETI-DP Algorithm on Irregular Subdomains in the Plane.
SIAM J. Numer. Anal., 2008

Domain Decomposition for Less Regular Subdomains: Overlapping Schwarz in Two Dimensions.
SIAM J. Numer. Anal., 2008

2006
A Parallel Implementation of Dual-Primal FETI Methods for Three-Dimensional Linear Elasticity Using a Transformation of Basis.
SIAM J. Sci. Comput., 2006

2004
A preconditioner for the equations of linear elasticity discretized by the PEERS element.
Numer. Linear Algebra Appl., 2004

2002
Dual-Primal FETI Methods for Three-Dimensional Elliptic Problems with Heterogeneous Coefficients.
SIAM J. Numer. Anal., 2002

2001
A FETI Domain Decomposition Method for Edge Element Approximations in Two Dimensions with Discontinuous Coefficients.
SIAM J. Numer. Anal., 2001

2000
A Domain Decomposition Method with Lagrange Multipliers and Inexact Solvers for Linear Elasticity.
SIAM J. Sci. Comput., 2000

A comparison of overlapping Schwarz methods and block preconditioners for saddle point problems.
Numer. Linear Algebra Appl., 2000

1999
Block triangular preconditioners for nonsymmetric saddle point problems: field-of-values analysis.
Numerische Mathematik, 1999

1998
An Optimal Preconditioner for a Class of Saddle Point Problems with a Penalty Term.
SIAM J. Sci. Comput., 1998

Block-Triangular Preconditioners for Saddle Point Problems with a Penalty Term.
SIAM J. Sci. Comput., 1998


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