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Prof. Dr. rer. nat. Axel Klawonn

Anschrift
Universitätsstr. 2
45141 Essen
Raum
T03 R03 D44
Telefon
+49 201 183 2339
Telefax
+49 201 183 2601
E-Mail
axel.klawonn@uni-due.de
Webseite
http://www.uni-due.de/numerik/
Sprechzeiten
Nach Vereinbarung: mündlich, telefonisch oder per e-mail

Die folgenden Publikationen sind in der Online-Universitätsbibliographie der Universität Duisburg-Essen verzeichnet. Weitere Informationen finden Sie gegebenenfalls auch auf den persönlichen Webseiten der Person.

    Artikel in Zeitschriften

  • Schröder, Jörg; Klawonn, Axel; Scheunemann, Lisa; Lanser, Martin
    Hochleistungsrechnen trifft Hochleistungsstahl
    In: Unikate: Berichte aus Forschung und Lehre 2017, Nr. 50: Natur-, Ingenieur- und Wirtschaftswissenschaften - High-Performance und Cloud Computing, S. 98 – 107
    DOI, Online Volltext (Open Access)
  • Schröder, Jörg; Klawonn, Axel; Fausten, Simon; Rheinbach, Oliver; Heinlein, Alexander; Balzani, Daniel
    Steps Towards More Realistic FSI Simulations of Coronary Arteries
    88th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 6-10 March 2017, Weimar, Germany,
    In: Proceedings in Applied Mathematics and Mechanics (PAMM) , Jg. 17 2017, Nr. 1, Special Issue: 88th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), S. 187 – 188
    DOI
  • Balzani, Daniel; Schröder, Jörg; Rheinbach, Oliver; Quarteroni, Alfio; Klawonn, Axel; Heinlein, Alexander; Forti, Davide; Fausten, Simon; Deparis, Simone
    Numerical modeling of fluid–structure interaction in arteries with anisotropic polyconvex hyperelastic and anisotropic viscoelastic material models at finite strains
    In: International Journal for Numerical Methods in Biomedical Engineering , Jg. 32 2016, Nr. 10, S. e02756
    DOI
  • Brinkhues, Sarah; Klawonn, Axel; Rheinbach, Oliver; Schröder, Jörg
    Augmented Lagrange Methods for Quasi-Incompressible Materials - Applications to Soft Biological Tissue
    In: International Journal for Numerical Methods in Biomedical Engineering , Jg. 29 2013, Nr. 3, S. 332 – 350
    DOI
  • Gippert, Sabrina; Klawonn, Axel; Rheinbach, Oliver
    Analysis of FETI-DP and BDDC for linear elasticity in 3D with almost incompressible components and varying coefficients inside subdomains
    In: SIAM Journal on Numerical Analysis , Jg. 50 2012, Nr. 5, S. 2208 – 2236
    DOI
  • Klawonn, Axel; Rheinbach, Oliver
    Deflation, projector preconditioning, and balancing in iterative substructuring methods : connections and new results
    In: SIAM Journal on Scientific Computing , Jg. 34 2012, Nr. 1, S. A459 – A484
    DOI
  • Balzani, Daniel; Böse, Dirk; Brands, Dominik; Erbel, Raimund; Klawonn, Axel; Rheinbach, Oliver; Schröder, Jörg
    Parallel simulation of patient‐specific atherosclerotic arteries for the enhancement of intravascular ultrasound diagnostics
    In: Engineering Computations: International Journal for Computer-aided Engineering and Software , Jg. 29 2012, Nr. 8, S. 888 – 906
    DOI
  • Jarošová, Marta; Klawonn, Axel; Rheinbach, Oliver
    Projector preconditioning and transformation of basis in FETI-DP algorithms for contact problems
    In: Mathematics and Computers in Simulation , Jg. 82 2012, Nr. 10, S. 1894 – 1907
    DOI
  • Klawonn, Axel; Neff, Patrizio; Rheinbach, Oliver; Vanis, Stefanie
    FETI-DP domain decomposition methods for elasticity with structural changes: P-elasticity
    In: Mathematical Modelling and Numerical Analysis (ESAIM-M2AN) , Jg. 45 2011, Nr. 3, S. 563 – 602
    DOI
  • Klawonn, Axel; Rheinbach, Oliver
    Highly scalable parallel domain decomposition methods with an application to biomechanics
    In: ZAMM: Zeitschrift für Angewandte Mathematik und Mechanik , Jg. 90 2010, Nr. 1, S. 5 – 32
    DOI
  • Balzani, Daniel; Brands, Dominik; Klawonn, Axel; Rheinbach, Oliver; Schröder, Jörg
    On the mechanical modeling of anisotropic biological soft tissue and iterative parallel solution strategies
    In: Archive of Applied Mechanics , Jg. 80 2010, Nr. 5, S. 479 – 488
    DOI
  • Klawonn, Axel; Neff, Patrizio; Rheinbach, Oliver; Vanis, Stefanie
    Solving geometrically exact micromorphic elasticity with a staggered algorithm
    In: GAMM-Mitteilungen , Jg. 33 2010, Nr. 1, S. 57 – 72
    DOI
  • Brands, Dominik; Schröder, Jörg; Klawonn, Axel; Rheinbach, Oliver; Böse, Dirk; Erbel, Raimund
    Numerical Simulations of Arterial Walls Based on IVUS-Data
    In: Proceedings in Applied Mathematics and Mechanics: PAMM / 80th Annual Meeting of the Gesellschaft für Angewandte Mathematik und Mechanik, 9 – 13 February 2009, Gdansk, Poland , Jg. 9 2009, Nr. 1, S. 75 – 78
    DOI
  • Klawonn, Axel; Rheinbach, Oliver; Widlund, Olof B.
    An analysis of a FETI-DP algorithm on irregular subdomains in the plane
    In: SIAM Journal on Numerical Analysis , Jg. Vol. 46 2008, Nr. No. 5, S. 2484 – 2504
    DOI
  • Dohrmann, Clark R.; Klawonn, Axel; Wildlund, Olof B.
    Domain decomposition for less regular subdomains: Overlapping Schwarz in two dimensions
    In: SIAM Journal on Numerical Analysis , Jg. Vol. 46 2008, Nr. 4, S. 2153 – 2168
    DOI
  • Klawonn, Axel; Rheinbach, Oliver
    Eine Ader für die Mathematik : Modellierung und numerische Simulation der Arteriosklerose
    In: Unikate: Berichte aus Forschung und Lehre 2008, Nr. 33 : Mathematik – Eine lebendige Wissenschaft, S. 8 – 21
    DOI, Online Volltext (Open Access)
  • Neff, Patrizio; Klawonn, Axel; Vanisy, Stefanie; Rheinbach, Oliver
    FETI-DP Methods for P-Elasticity
    In: Proceedings in Applied Mathematics and Mechanics (PAMM) , Jg. 8 2008, Nr. 1, Special Issue: 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Bremen 2008, S. 10859 – 10860
    DOI
  • Brands, Dominik; Klawonn, Axel; Rheinbach, Oliver; Schröder, Jörg
    Modelling and convergence in arterial wall simulations using a parallel FETI solution strategy
    In: Computer Methods in Biomechanics and Biomedical Engineering , Jg. 11 2008, Nr. 5, S. 569 – 583
    DOI
  • Brands, Dominik; Klawonn, Axel; Rheinbach, Oliver; Schröder, Jörg
    On the visualization of patient specific arterial geometries using the virtual histology
    In: Proceedings in Applied Mathematics and Mechanics: PAMM / 79th Annual Meeting of the Gesellschaft für Angewandte Mathematik und Mechanik, 31 March - 4 April 2008, Bremen, Germany , Jg. 8 2008, Nr. 1, S. 10169 – 10170
    DOI
  • Klawonn, Axel; Pavarino, L.F.; Rheinbach, Oliver
    Spectral element FETI-DP and BDDC preconditioners with multi-element subdomains
    In: Computer Meth. Appl. Mech. Engrg. , Jg. 198 2008, S. 511 – 523
  • Klawonn, Axel; Rheinbach, Oliver
    Inexact FETI-DP Methods
    In: Inter. J. Numer. Methods Engrg. , Jg. Vol. 69 2007, Nr. published electronically June 2006, DOI 10.1002/nme.1758, S. 284 – 307
  • Balzani, Daniel; Brands, Dominik; Klawonn, Axel; Rheinbach, Oliver; Schröder, Jörg
    Large-scale simulation of arterial walls : mechanical modeling
    In: Proceedings in Applied Mathematics and Mechanics: PAMM / Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, 16-20 Juli 2007, Zürich , Jg. 7 2007, Nr. 1, S. 4020017 – 4020018
    DOI
  • Klawonn, Axel; Rheinbach, Oliver
    Robust FETI-DP Methods for Heterogeneous Three Dimensional Elasticity Problems
    In: Computer Methods in Applied Mechanics and Engineering , Jg. 196 2007, Nr. 8, S. 1400 – 1414
    DOI
  • Klawonn, Axel; Rheinbach, Oliver
    A Parallel Implementation of Dual-Primal FETI Methods for Three Dimensional Linear Elasticity Using a Transformation of Basis
    In: SIAM J. Sci. Comput. 2006, Nr. Vol. 28, No. 5, S. 1886 – 1906
  • Klawonn, Axel; Widlund, O.B.
    Dual-Primal FETI Methods for Linear Elasticity
    In: Comm. Pure Appl. Math. 2006, Nr. Vol. 59, No. 11, S. 1523 – 1572
  • Klawonn, Axel
    FETI Domain Decomposition Methods for Second Order Partial Differential Equations
    In: GAMM-Mitteilungen , Jg. 29 2006, Nr. 2, S. 319 – 341
  • Vanis, S.; Rheinbach, O.; Klawonn, Axel; Prymak, Oleg; Epple, Matthias
    Numerical computation of the porosity of bone substitution materials from synchrotron micro computer tomographic data
    In: Materials Science and Engineering Technology , Jg. 37 2006, S. 469 – 473
    DOI
  • Klawonn, Axel; Starke, G.
    A Preconditioner for the Equations of Linear Elasticity Discretized by the PEERS Element
    In: Numer. Linear Algebra Appl. 2004, Nr. Vol. 11, No. 5/6, S. 493 – 510
  • Klawonn, Axel; Rheinbach, Oliver
    Zerreißen und Zusammenfügen : Gebietszerlegungsverfahren und Finite Elemente auf Parallelrechnern
    In: Essener Unikate: Berichte aus Forschung und Lehre 2004, Nr. 23 : Ingenieurwissenschaften – Bauwesen: Ein Leistungsspektrum, S. 50 – 59
    Online Volltext (Open Access)
  • Klawonn, Axel; Widlund, O.B.; Dryja, M.
    Dual-Primal FETI Methods for Three-Dimensional Elliptic Problems with Heterogeneous Coefficients
    In: SIAM J. Numer. Anal. 2002, Nr. Vol. 40, No. 1 , pp. 159-179, Abstract and Article
  • Toselli, A.; Klawonn, Axel
    A FETI domain decomposition method for Edge Element Approximations in Two Dimensions with Discontinuous Coefficients
    In: SIAM J. Numer. Anal. 2001, Nr. Vol. 39, No. 3 , pp. 932-956, Abstract and Article
  • Klawonn, Axel; Widlund, O.B.
    FETI and Neumann-Neumann Iterative Substructuring Methods: Connections and New Results
    In: Communications on Pure and Applied Mathematics , Jg. 54 2001, Nr. 1, S. 57 – 90
  • Klawonn, Axel; Widlund, O.B.
    FETI und Neumann-Neumann Iterative Substructuring Methods:connections and New Results
    In: Communications of Pure and Applied Mathematics , Jg. 2001/ Vol. 54 2001, S. 57 – 90
    DOI
  • Klawonn, Axel; Pavarino, L.F.
    A Comparison of Overlapping Schwarz Methods and block Preconditioners for Saddle Point Problems
    In: Numer. Linear Algebra Appl. 2000, Nr. 7 , pp.1-25, Abstract and Article
  • Klawonn, Axel; Widlund, O.B.
    A domain decomposition method with Lagrange multipliers and inexact solvers for linear elasticity
    In: SIAM J. Sci. Comput. 2000, Nr. Vol. 22, No. 4 , pp. 1199-1219, Abstract and Article
  • Klawonn, Axel; Starke, G.
    Block-Triangular Preconditioners for Nonsymmetric Saddle Point Problems: Field-of-Values Analysis
    In: Numer. Math. , Jg. 81 1999 , pp. 577-594, Abstract and Article
  • Klawonn, Axel
    Additive Domain Decomposition Algorithms for a class of mixed finite elements
    In: AMS Contemporary Mathematics 1998, Nr. 218 , pp. 296-303, Article
  • Klawonn, Axel
    An optimal Preconditioner for a Class of Saddle Point Problems with a Penalty Term
    In: SIAM J. Sci. Comput. 1998, Nr. 19(2) , pp. 540-552, Abstract and Article
  • Klawonn, Axel
    Block-Triangular Preconditioners for Saddle Point Problems with a Penalty Term
    In: SIAM J. Sci. Comput. 1998, Nr. 19(1), S. 172 – 184
  • Klawonn, Axel; Pavarino, L. F.
    Overlapping Schwarz methods for mixed linear elasticity and Stokes problems
    In: Computational Meth. Appl. Mech. Engrg. , Jg. Vol. 165 1998 , pp. 233-245, Abstract and Article

    • Aufsätze

  • Neff, Patrizio; Klawonn, Axel; Vanis, Stefanie; Rheinbach, Oliver
    Notes on FETI-DP domain decomposition methods for P-elasticity
    2010

    • Vorworte / Nachworte

  • Klawonn, Axel
    Editorial
    In: Unikate: Berichte aus Forschung und Lehre 2008, Nr. 33: Mathematik: eine lebendige Wissenschaft, S. 6 – 7
    DOI, Online Volltext (Open Access)

    • Beiträge in Sammelwerken und Tagungsbänden

  • Klawonn, Axel; Lanser, Martin; Uran, Matthias; Rheinbach, Oliver; Köhler, Stephan; Schröder, Jörg; Scheunemann, Lisa; Brands, Dominik; Balzani, Daniel; Gandhi, Ashutosh; Wellein, Gerhard; Wittmann, Markus; Schenk, Olaf; Janalík, Radim
    EXASTEEL : Towards a virtual laboratory for the multiscale simulation of dual-phase steel using high-performance computing
    In: Software for Exascale Computing: SPPEXA 2016-2019 / Bungartz, Hans-Joachim; Reiz, Severin; Uekermann, Benjamin; Neumann, Philipp; Nagel, Wolfgang E. (Hrsg.) 2020, S. 351 – 404
    DOI (Open Access)
  • Balzani, Daniel; Gandhi, Ashutosh; Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver; Schröder, Jörg
    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
    In: Software for Exascale Computing: SPPEXA 2013-2015 / Bungartz, Hans-Joachim; Neumann, Philipp; Nagel, Wolfgang E. (Hrsg.) 2016, S. 91 – 112
    DOI
  • Balzani, Daniel; Schröder, Jörg; Rheinbach, O.; Quarteroni, A.; Klawonn, Axel; Heinlein, Andreas; Forti, D.; Deparis, D.; Fausten, Simon
    Aspects of arterial wall simulations : nonlinear anisotropic material models and fluid structure interaction
    In: Proceedings of the jointly organised 11th World Congress on Computational Mechanics (WCCM XI) / 11th World Congress of Computational Mechanics (WCCM XI), 20-25 July 2014, Barcelona, Spain / Oñate, Eugenio (Hrsg.) 2014, S. 947 – 958
  • Dohrmann, C.; Klawonn, Axel; Widlund, O.
    A family of energy minimizing coarse spaces for overlapping Schwarz preconditioners
    In: Springer Lecture Notes in Computational Science and Engineering, Vol. 60 / Langer, U.; Discacciati, M.; Keyes, D.; Widlund, O.; Zulehner, W. (Hrsg.) 2008, S. 247 – 254
  • Klawonn, Axel; Pavarino, L.; Rheinbach, Oliver
    Exact and inexact FETI-DP methods for spectral elements in two dimensions
    In: Springer Lecture Notes in Computational Science and Engineering, Vol. 60 / Langer, U.; Discacciati, M.; Keyes, D.; Widlund, O.; Zulehner, W. (Hrsg.) 2008, S. 279 – 286
  • Dohrmann, C.; Klawonn, Axel; Widlund, O.
    Extending theory for domain decomposition algorithms to irregular subdomains
    In: Springer Lecture Notes in Computational Science and Engineering, Vol. 60 / Langer, U.; Discacciati, M.; Keyes, D.; Widlund, O.; Zulehner, W. (Hrsg.) 2008, S. 255 – 261
  • Brands, Dominik; Balzani, Daniel; Klawonn, Axel; Rheinbach, Oliver; Schröder, Jörg
    Aspects of modeling and large scale simulation of arterial walls
    In: Proceedings of the Fifteenth UK Conference of the Association of Computational Mechanics in Engineering / Fifteenth UK Conference of the Association of Computational Mechanics in Engineering, 2-3 April 2007, Glasgow, United Kingdom / Topping, B. H. V. (Hrsg.) 2007, S. 8
    DOI
  • Balzani, Daniel; Schröder, Jörg; Brands, Dominik; Klawonn, Axel; Rheinbach, Oliver
    Computer simulation of damage in overstretched atherosclerotic arteries
    In: WCECS 2007 Proceedings / International Conference on Computational Biology (ICCB 2007), 24-26 October 2007, San Francisco, USA 2007, S. 209 – 214
  • Klawonn, Axel; Rheinbach, Oliver; Wohlmuth, Barbara
    Dual-Primal iterative substructuring for almost incompressible elasticity
    In: Springer Lecture Notes Comput. Sci Eng., Vol. 55 2007, S. 399 – 406
  • Brands, Dominik; Balzani, Daniel; Klawonn, Axel; Rheinbach, Oliver; Schröder, Jörg
    Modeling and computational aspects of arterial walls
    In: Computational plasticity: fundamentals and applications ; COMPLAS IX / 9th International Conference on Computational Plasticity - Fundamentals and Applications - COMPLAS 2007, 5 - 7 September 2007, Barcelona, Spain / Oñate, Eugenio (Hrsg.) 2007
  • Schröder, Jörg; Klawonn, Axel; Balzani, Daniel; Rheinbach, Oliver; Brands, Dominik
    On mechanical modeling of arterial walls and parallel solution strategies
    In: Proceedings of the 2nd GAMM Seminar on Continuum Biomechanics / 2nd GAMM seminar on continuum biomechanics, 22.-24. November 2006, Freudenstadt-Lauterbad, Germany / Ehlers, W. (Hrsg.) 2007, S. 97 – 107
  • Rheinbach, Oliver; Klawonn, Axel; Schröder, Jörg; Balzani, Daniel; Brands, Dominik
    Simulation of arterial walls : an algebraic interface to iterative substructuring
    In: WCECS 2007 Proceedings / International Conference on Computational Biology (ICCB 2007), 24-26 October 2007, San Francisco, USA 2007, S. 51 – 56
  • Balzani, Daniel; Klawonn, Axel; Rheinbach, Oliver; Schröder, Jörg; Brands, Dominik
    Simulation of arterial walls using FETI domain decomposition methods
    In: MHM 2007 - Modelling of Heterogeneous Materials with Applications in Construction and Biomedical Engineering: Proceedings / ECCOMAS thematic conference "Modelling of Heterogeneous Materials with Applications in Construction and Biomedical Engineering", 25 - 27 June 2007, Prague, Czech Republic / Jirásek, Milan; Bittnar, Zdeněk; Mang, Herbert (Hrsg.) 2007, S. 104 – 105
  • Klawonn, Axel; Rheinbach, Oliver
    Some computational results for robust FETI-DP methods applied to heterogeneous elasticity problems in 3D
    In: Domain decomposition methods in science and engineering XVI 2007, S. 389 – 396
    DOI
  • Klawonn, Axel; Widlund, O.B.
    Selecting Constraints in Dual-Primal FETI Methods for Elasticity in Three Dimensions
    In: Domain Decomposition Methods in Science and Engineering; Lecture Notes Comput. Sci. Eng. / Kornhuber, R.; Hoppe, R.H.W.; Keyes, D.E.; Periaux, J.; Pironneau, O.; Xu, J. (Hrsg.) 2005, S. 67 – 81
  • Klawonn, Axel; Rheinbach, Oliver; Widlund, O.B.
    Some Computational results for Dual-Primal FETI Methods for Three Dimensional Elliptic Problems
    In: Domain Decomposition Methods in Science and Engineering, Lecture Notes Comput. Sci. Eng., Vol. 40 / Kornhuber, R.; Hoppe, R. H. W.; Keyes, D. E.; Piriaux, J.; Pironneau, O.; Xu, J. (Hrsg.) 2005, S. 361 – 368
  • Klawonn, Axel; Widlund, O.B.; Dryja, M.
    Dual-Primal FETI Methods with Face Constraints
    In: Lect. Notes Comput. Sci. Eng. 23 / Pavarino, Luca; Toselli, Andrea (Hrsg.) 2002, S. 27 – 40
  • Klawonn, Axel; Widlund, O.B.
    FETI-DP Methods for Elliptic Problems with Discontinuous Coefficients in Three Dimensions
    In: Proceedings of the 13th International Conference on Domain Decomposition Methods, Lyon, France, October 2000 / Debit, N.; Garbey, M.; Hoppe, R.; Keyes, D.; Kuznetsov, Y.; Periaus, J. (Hrsg.) 2002, S. 405 – 411
  • Rixen, D.J.; Le Tallec, P.; Klawonn, Axel
    A Matrix Description for the Domain Decomposition Methods of the FETI family
    In: Proceedings of the First MIT Conference on Computational Fluid and Solid Mechanics, MIT, Cambridge, USA, June 12-14 2001, S. 1636 – 1639
  • Klawonn, Axel; Widlund, O.B.
    Dual and Dual-Primal FETI Methods for Elliptic Problems with Discontinuous Coefficients in Three Dimensions
    In: Proceedings of the 12th International Conference on Domain Decomposition Methods, Chiba, Japan, October 25-29, 1999 2001, S. 29 – 40
  • Klawonn, Axel
    An iterative substructuring method with Lagrange multipliers for elasticity problems using approximate Neumann subdomain solvers
    In: Multifield Problems: State of the Art / Saendig, A.M.; Schielen, W.; Wendland, W.L. (Hrsg.) 2000, S. 193 – 200
  • Klawonn, Axel; Widlund, O.B.
    New Results on FETI methods for Elliptic Problems with Discontinuous Coefficients
    In: Numerical Analysis 1999 / Griffiths, D.F.; Watson, G.A. (Hrsg.) 2000, S. 191 – 209
  • Stefanica, D.; Klawonn, Axel
    The FETI methods for Mortar Finite Elements
    In: Proceedings of the Eleventh International Conference on Domain Decomposition Methods, Greenwich, UK, July 20-24, 1998 1999, S. 121 – 129
  • Klawonn, Axel; Widlund, O.B.
    A domain decomposition method with Lagrange multipliers for linear elasticity
    In: Proceedings of the Eleventh International Conference on Domain Decomposition Methods, July 20-24, 1998 1998, S. 49 – 56
  • Klawonn, Axel; Pavarino, L.F.
    An Overlapping Additive Schwarz Method for a Saddle Point Problem from Linear Elasticity
    In: Iterative Methods in Scientific Computation, IMACS Series in Computational and Applied Mathematics, Vol. 4 1998, S. 219 – 224
  • Klawonn, Axel
    Two Preconditioners for Saddle Point Problems with Penalty Term
    In: Proceedings of the Ninth International Conference on Domain Decomposition Methods, Bergen, Norway, June 3-8, 1996 1998 , pp. 147-154, DD9.ps

    • Bücher/Sammelwerke/Tagungsbände

  • Klawonn, Axel; Rheinbach, Oliver
    Deflation, projector preconditioning, and balancing in iterative substructuring methods : connections and new results
    Duisburg 2010
    (Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen ; 719)