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1

Robust FETI-DP methods for heterogeneous three dimensional elasticity problems

Axel Klawonn, Oliver Rheinbach

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2007

Language:

english

File:

PDF, 1.10 MB

english, 2007

2

Highly scalable parallel domain decomposition methods with an application to biomechanics

A. Klawonn, O. Rheinbach

Journal:

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

Year:

2010

Language:

english

File:

PDF, 889 KB

english, 2010

3

Parallel Iterative Substructuring in Structural Mechanics

Oliver Rheinbach

Journal:

Archives of Computational Methods in Engineering

Year:

2009

Language:

english

File:

PDF, 2.90 MB

english, 2009

4

Solving geometrically exact micromorphic elasticity with a staggered algorithm

Axel Klawonn, Patrizio Neff, Oliver Rheinbach, Stefanie Vanis

Journal:

GAMM-Mitteilungen

Year:

2010

Language:

english

File:

PDF, 420 KB

english, 2010

5

Numerical computation of the porosity of bone substitution materials from synchrotron micro computer tomographic data

S. Vanis, O. Rheinbach, A. Klawonn, O. Prymak, M. Epple

Journal:

Materialwissenschaft und Werkstofftechnik

Year:

2006

Language:

english

File:

PDF, 167 KB

english, 2006

6

Inexact FETI-DP methods

Axel Klawonn, Oliver Rheinbach

Journal:

International Journal for Numerical Methods in Engineering

Year:

2007

Language:

english

File:

PDF, 217 KB

english, 2007

7

Spectral element FETI-DP and BDDC preconditioners with multi-element subdomains

Axel Klawonn, Luca F. Pavarino, Oliver Rheinbach

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2008

Language:

english

File:

PDF, 297 KB

english, 2008

8

Large-scale simulation of arterial walls: mechanical modeling

Daniel Balzani, Dominik Brands, Axel Klawonn, Oliver Rheinbach

Journal:

Year:

2007

Language:

english

File:

PDF, 103 KB

english, 2007

9

On the Visualization of Patient Specific Arterial Geometries Using the Virtual Histology

Dominik Brands, Axel Klawonn, Oliver Rheinbach, Jörg Schröder

Journal:

Year:

2008

Language:

english

File:

PDF, 175 KB

english, 2008

10

FETI-DP for Anisotropic Problems

Axel Klawonn, Oliver Rheinbach

Journal:

Year:

2008

Language:

english

File:

PDF, 214 KB

english, 2008

11

FETI-DP Methods for P-Elasticity

Axel Klawonn, Patrizio Neff, Oliver Rheinbach, Stefanie Vanisy

Journal:

Year:

2008

Language:

english

File:

PDF, 97 KB

english, 2008

12

A hybrid approach to 3-level FETI

Axel Klawonn, Oliver Rheinbach

Journal:

Year:

2008

Language:

english

File:

PDF, 193 KB

english, 2008

13

Numerical Simulations of Arterial Walls Based on IVUS-Data

Dominik Brands, Jörg Schröder, Axel Klawonn, Oliver Rheinbach, Dirk Böse, Raimund Erbel

Journal:

Year:

2009

Language:

english

File:

PDF, 2.05 MB

english, 2009

14

On the mechanical modeling of anisotropic biological soft tissue and iterative parallel solution strategies

D. Balzani, D. Brands, A. Klawonn, O. Rheinbach, J. Schröder

Journal:

Archive of Applied Mechanics

Year:

2010

Language:

english

File:

PDF, 337 KB

english, 2010

15

Augmented Lagrange methods for quasi-incompressible materials—Applications to soft biological tissue

S. Brinkhues, A. Klawonn, O. Rheinbach, J. Schröder

Journal:

International Journal for Numerical Methods in Biomedical Engineering

Year:

2012

Language:

english

File:

PDF, 3.07 MB

english, 2012

16

Analysis of FETI-DP and BDDC for Linear Elasticity in 3D with Almost Incompressible Components and Varying Coefficients Inside Subdomains

Gippert, Sabrina, Klawonn, Axel, Rheinbach, Oliver

Journal:

SIAM Journal on Numerical Analysis

Year:

2012

Language:

english

File:

PDF, 503 KB

english, 2012

17

Deflation, Projector Preconditioning, and Balancing in Iterative Substructuring Methods: Connections and New Results

Klawonn, Axel, Rheinbach, Oliver

Journal:

SIAM Journal on Scientific Computing

Year:

2012

Language:

english

File:

PDF, 332 KB

english, 2012

18

A Parallel Implementation of Dual‐Primal FETI Methods for Three‐Dimensional Linear Elasticity Using a Transformation of Basis

Klawonn, Axel, Rheinbach, Oliver

Journal:

SIAM Journal on Scientific Computing

Year:

2006

Language:

english

File:

PDF, 385 KB

english, 2006

19

An Analysis of a FETI–DP Algorithm on Irregular Subdomains in the Plane

Klawonn, Axel, Rheinbach, Oliver, Widlund, Olof B.

Journal:

SIAM Journal on Numerical Analysis

Year:

2008

Language:

english

File:

PDF, 1.12 MB

english, 2008

20

Parallel Simulation of Biological Soft Tissue

Fischle, Andreas, Klawonn, Axel, Rheinbach, Oliver, Schröder, Jörg

Journal:

Year:

2012

Language:

english

File:

PDF, 127 KB

english, 2012

21

Modelling and convergence in arterial wall simulations using a parallel FETI solution strategy

Brands, D., Klawonn, A., Rheinbach, O., Schröder, J.

Journal:

Computer Methods in Biomechanics & Biomedical Engineering

Year:

2008

Language:

english

File:

PDF, 4.62 MB

english, 2008

22

Projector preconditioning and transformation of basis in FETI-DP algorithms for contact problems

Jarošová, Marta, Klawonn, Axel, Rheinbach, Oliver

Journal:

Mathematics and Computers in Simulation

Year:

2012

Language:

english

File:

PDF, 824 KB

english, 2012

23

Nonlinear FETI-DP and BDDC Methods

Klawonn, Axel, Lanser, Martin, Rheinbach, Oliver

Journal:

SIAM Journal on Scientific Computing

Year:

2014

Language:

english

File:

PDF, 450 KB

english, 2014

24

Parallel simulation of patient‐specific atherosclerotic arteries for the enhancement of intravascular ultrasound diagnostics

Balzani, D., Böse, D., Brands, D., Erbel, R., Klawonn, A., Rheinbach, O., Schröder, J.

Journal:

Engineering Computations

Year:

2012

Language:

english

File:

PDF, 546 KB

english, 2012

25

The approximate component mode synthesis special finite element method in two dimensions: Parallel implementation and numerical results

Heinlein, A., Hetmaniuk, U., Klawonn, A., Rheinbach, O.

Journal:

Journal of Computational and Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 1.78 MB

english, 2015

26

FETI-DP Methods with an Adaptive Coarse Space

Klawonn, A., Radtke, P., Rheinbach, O.

Journal:

SIAM Journal on Numerical Analysis

Year:

2015

Language:

english

File:

PDF, 693 KB

english, 2015

27

AN ANALYSIS OF A FETI–DP ALGORITHM ON IRREGULAR SUBDOMAINS IN THE PLANE

AXEL KLAWONN, OLIVER RHEINBACH and OLOF B. WIDLUND

Journal:

SIAM Journal on Numerical Analysis

Year:

2008

Language:

english

File:

PDF, 2.33 MB

english, 2008

28

Numerical Modeling of Fluid-Structure Interaction in Arteries with Anisotropic Polyconvex Hyperelastic and Anisotropic Viscoelastic Material Models at Finite Strains

Balzani, D., Deparis, S., Fausten, S., Forti, D., Heinlein, A., Klawonn, A., Quarteroni, A., Rheinbach, O., Schröder, J.

Journal:

International Journal for Numerical Methods in Biomedical Engineering

Year:

2015

Language:

english

File:

PDF, 10.65 MB

english, 2015

29

A Comparison of Preconditioners for the Steklov-Poincaré Formulation of the Fluid-Structure Coupling in Hemodynamics

Deparis, S., Forti, D., Heinlein, A., Klawonn, A., Quarteroni, A., Rheinbach, O.

Journal:

Year:

2015

Language:

english

File:

PDF, 171 KB

english, 2015

30

Scalability of a FETI-DP Method for Optimal Control Problems

Herzog, Roland, Rheinbach, Oliver

Journal:

Year:

2014

Language:

english

File:

PDF, 192 KB

english, 2014

31

FETI-DP with different scalings for adaptive coarse spaces

Klawonn, Axel, Radtke, Patrick, Rheinbach, Oliver

Journal:

Year:

2014

Language:

english

File:

PDF, 106 KB

english, 2014

32

Adaptive Coarse Spaces for FETI-DP in Three Dimensions

Klawonn, Axel, Kühn, Martin, Rheinbach, Oliver

Journal:

SIAM Journal on Scientific Computing

Year:

2016

Language:

english

File:

PDF, 584 KB

english, 2016

33

Toward Extremely Scalable Nonlinear Domain Decomposition Methods for Elliptic Partial Differential Equations

Klawonn, Axel, Lanser, Martin, Rheinbach, Oliver

Journal:

SIAM Journal on Scientific Computing

Year:

2015

Language:

english

File:

PDF, 2.41 MB

english, 2015

34

A Parallel Implementation of a Two-Level Overlapping Schwarz Method with Energy-Minimizing Coarse Space Based on Trilinos

Heinlein, Alexander, Klawonn, Axel, Rheinbach, Oliver

Journal:

SIAM Journal on Scientific Computing

Year:

2016

Language:

english

File:

PDF, 1.79 MB

english, 2016

35

Using Local Spectral Information in Domain Decomposition Methods - A Brief Overview in a Nutshell

Klawonn, Axel, Kühn, Martin, Rheinbach, Oliver

Journal:

Year:

2016

Language:

english

File:

PDF, 183 KB

english, 2016

36

Nonlinear FETI-DP and BDDC Methods: A Unified Framework and Parallel Results

Klawonn, Axel, Lanser, Martin, Rheinbach, Oliver, Uran, Matthias

Journal:

SIAM Journal on Scientific Computing

Year:

2017

Language:

english

File:

PDF, 1.45 MB

english, 2017

37

Steps Towards More Realistic FSI Simulations of Coronary Arteries

Fausten, Simon, Balzani, Daniel, Heinlein, Alexander, Klawonn, Axel, Rheinbach, Oliver, Schröder, Jörg

Journal:

Year:

2017

Language:

english

File:

PDF, 5.94 MB

english, 2017

38

[IEEE 2018 30th International Symposium on Computer Architecture and High Performance Computing (SBAC-PAD) - Lyon, France (2018.9.24-2018.9.27)] 2018 30th International Symposium on Computer Architecture and High Performance Computing (SBAC-PAD) - Multicore Performance Engineering of Sparse Triangular Solves Using a Modified Roofline Model

Wittmann, Markus, Hager, Georg, Janalik, Radim, Lanser, Martin, Klawonn, Axel, Rheinbach, Oliver, Schenk, Olaf, Wellein, Gerhard

Year:

2018

Language:

english

File:

PDF, 37 KB

english, 2018

39

Computational homogenization with million-way parallelism using domain decomposition methods

Klawonn, Axel, Köhler, Stephan, Lanser, Martin, Rheinbach, Oliver

Journal:

Computational Mechanics

Year:

2019

Language:

english

File:

PDF, 9.67 MB

english, 2019

40

Applying the FROSch Overlapping Schwarz Preconditioner to Dislocation Mechanics in Deal.II

Heinlein, Alexander, Rheinbach, Oliver, Röver, Friederike, Sandfeld, Stefan, Steinberger, Dominik

Journal:

Year:

2019

File:

PDF, 286 KB

2019

41

Logistic regression for potential modeling

Kost, Samuel, Rheinbach, Oliver, Schaeben, Helmut

Journal:

Year:

2019

File:

PDF, 257 KB

2019

42

Energy efficiency of nonlinear domain decomposition methods

Klawonn, Axel, Lanser, Martin, Rheinbach, Oliver, Wellein, Gerhard, Wittmann, Markus

Journal:

International Journal of High Performance Computing Applications

Year:

2020

File:

PDF, 1.55 MB

2020