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1

Dual-Primal Feti Methods for Three-Dimensional Elliptic Problems with Heterogeneous Coefficients

Axel Klawonn, Olof B. Widlund and Maksymilian Dryja

Journal:

SIAM Journal on Numerical Analysis

Year:

2003

Language:

english

File:

PDF, 589 KB

english, 2003

2

FETI and Neumann-Neumann iterative substructuring methods: Connections and new results

Axel Klawonn, Olof Widlund

Journal:

Communications on Pure and Applied Mathematics

Year:

2001

Language:

english

File:

PDF, 193 KB

english, 2001

3

Dual-primal FETI methods for linear elasticity

Axel Klawonn, Olof B. Widlund

Journal:

Communications on Pure and Applied Mathematics

Year:

2006

Language:

english

File:

PDF, 371 KB

english, 2006

4

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

5

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering XXIII Volume 116 || Simulation of Blood Flow in Patient-specific Cerebral Arteries with a Domain Decomposition Method

Lee, Chang-Ock, Cai, Xiao-Chuan, Keyes, David E., Kim, Hyea Hyun, Klawonn, Axel, Park, Eun-Jae, Widlund, Olof B.

Year:

2017

Language:

english

File:

PDF, 306 KB

english, 2017

6

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering XXIII Volume 116 ||

Lee, Chang-Ock, Cai, Xiao-Chuan, Keyes, David E., Kim, Hyea Hyun, Klawonn, Axel, Park, Eun-Jae, Widlund, Olof B.

Year:

2017

Language:

english

File:

PDF, 10.65 MB

english, 2017

7

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering XXV Volume 138 ||

Haynes, Ronald, MacLachlan, Scott, Cai, Xiao-Chuan, Halpern, Laurence, Kim, Hyea Hyun, Klawonn, Axel, Widlund, Olof

Year:

2020

File:

PDF, 16.03 MB

2020

8

A comparison of overlapping Schwarz methods and block preconditioners for saddle point problems

Axel Klawonn, Luca F. Pavarino

Journal:

Numerical Linear Algebra with Applications

Year:

2000

Language:

english

File:

PDF, 230 KB

english, 2000

9

A New Efficient Synthesis of Substituted Luminols Using Multicomponent Reactions.

Helfried Neumann, Stefan Klaus, Markus Klawonn, Dirk Struebing, Sandra Huebner, Dirk Goerdes, Axel Jacobi von Wangelin, Michael Lalk, Matthias Beller

Journal:

Year:

2004

File:

PDF, 188 KB

2004

10

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

11

A preconditioner for the equations of linear elasticity discretized by the PEERS element

Axel Klawonn, Gerhard Starke

Journal:

Numerical Linear Algebra with Applications

Year:

2004

Language:

english

File:

PDF, 169 KB

english, 2004

12

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

13

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

14

Overlapping Schwarz methods for mixed linear elasticity and Stokes problems

Axel Klawonn, Luca F. Pavarino

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1998

Language:

english

File:

PDF, 1.04 MB

english, 1998

15

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

16

FETI-DP for Anisotropic Problems

Axel Klawonn, Oliver Rheinbach

Journal:

Year:

2008

Language:

english

File:

PDF, 214 KB

english, 2008

17

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

18

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

19

A hybrid approach to 3-level FETI

Axel Klawonn, Oliver Rheinbach

Journal:

Year:

2008

Language:

english

File:

PDF, 193 KB

english, 2008

20

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

21

Block triangular preconditioners for nonsymmetric saddle point problems: field-of-values analysis

Axel Klawonn, Gerhard Starke

Journal:

Numerische Mathematik

Year:

1999

Language:

english

File:

PDF, 134 KB

english, 1999

22

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

23

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

24

An Optimal Preconditioner for a Class of Saddle Point Problems with a Penalty Term

Journal:

SIAM Journal on Scientific Computing

Year:

1998

Language:

english

File:

PDF, 632 KB

english, 1998

25

Block-Triangular Preconditioners for Saddle Point Problems with a Penalty Term

Journal:

SIAM Journal on Scientific Computing

Year:

1998

Language:

english

File:

PDF, 658 KB

english, 1998

26

A Domain Decomposition Method with Lagrange Multipliers and Inexact Solvers for Linear Elasticity

Klawonn, Axel, Widlund, Olof B.

Journal:

SIAM Journal on Scientific Computing

Year:

2000

Language:

english

File:

PDF, 236 KB

english, 2000

27

Dual-Primal FETI Methods for Three-Dimensional Elliptic Problems with Heterogeneous Coefficients

Klawonn, Axel, Widlund, Olof B., Dryja, Maksymilian

Journal:

SIAM Journal on Numerical Analysis

Year:

2002

Language:

english

File:

PDF, 227 KB

english, 2002

28

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

29

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

30

A FETI Domain Decomposition Method for Edge Element Approximations in Two Dimensions with Discontinuous Coefficients

Toselli, Andrea, Klawonn, Axel

Journal:

SIAM Journal on Numerical Analysis

Year:

2001

Language:

english

File:

PDF, 265 KB

english, 2001

31

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

32

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

33

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

34

FETI Domain Decomposition Methods for Second Order Elliptic Partial Differential Equations

Journal:

GAMM-Mitteilungen

Year:

2006

Language:

english

File:

PDF, 238 KB

english, 2006

35

Domain Decomposition for Less Regular Subdomains: Overlapping Schwarz in Two Dimensions

Dohrmann, Clark R., Klawonn, Axel, Widlund, Olof B.

Journal:

SIAM Journal on Numerical Analysis

Year:

2008

Language:

english

File:

PDF, 1.48 MB

english, 2008

36

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

37

Domain Decomposition for Less Regular Subdomains: Overlapping Schwarz in Two Dimensions

Clark R. Dohrmann, Axel Klawonn and Olof B. Widlund

Journal:

SIAM Journal on Numerical Analysis

Year:

2008

Language:

english

File:

PDF, 1.47 MB

english, 2008

38

A FETI Domain Decomposition Method for Edge Element Approximations in Two Dimensions with Discontinuous Coefficients

Andrea Toselli and Axel Klawonn

Journal:

SIAM Journal on Numerical Analysis

Year:

2002

Language:

english

File:

PDF, 559 KB

english, 2002

39

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

40

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

41

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

42

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

43

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering XXIII Volume 116 || Parallel Sum Primal Spaces for Isogeometric Deluxe BDDC Preconditioners

Lee, Chang-Ock, Cai, Xiao-Chuan, Keyes, David E., Kim, Hyea Hyun, Klawonn, Axel, Park, Eun-Jae, Widlund, Olof B.

Year:

2017

Language:

english

File:

PDF, 435 KB

english, 2017

44

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering XXIII Volume 116 || A BDDC Algorithm for Weak Galerkin Discretizations

Lee, Chang-Ock, Cai, Xiao-Chuan, Keyes, David E., Kim, Hyea Hyun, Klawonn, Axel, Park, Eun-Jae, Widlund, Olof B.

Year:

2017

Language:

english

File:

PDF, 148 KB

english, 2017

45

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering XXIII Volume 116 || On the Origins of Linear and Non-linear Preconditioning

Lee, Chang-Ock, Cai, Xiao-Chuan, Keyes, David E., Kim, Hyea Hyun, Klawonn, Axel, Park, Eun-Jae, Widlund, Olof B.

Year:

2017

Language:

english

File:

PDF, 289 KB

english, 2017

46

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering XXIII Volume 116 || Optimized Schwarz Methods for Heterogeneous Helmholtz and Maxwell’s Equations

Lee, Chang-Ock, Cai, Xiao-Chuan, Keyes, David E., Kim, Hyea Hyun, Klawonn, Axel, Park, Eun-Jae, Widlund, Olof B.

Year:

2017

Language:

english

File:

PDF, 184 KB

english, 2017

47

[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods in Science and Engineering XXIII Volume 116 || From Surface Equivalence Principle to Modular Domain Decomposition

Lee, Chang-Ock, Cai, Xiao-Chuan, Keyes, David E., Kim, Hyea Hyun, Klawonn, Axel, Park, Eun-Jae, Widlund, Olof B.

Year:

2017

Language:

english

File:

PDF, 424 KB

english, 2017

48

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

49

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

50

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