As of Oct. 2012 I have moved to Universität zu Köln



Weiter zur Publikationsdatenbank der Universität (gepflegt von der Universitätsbibliothek)

REFEREED PUBLICATIONS (Begutachtete Veröffentlichungen in Fachzeitschriften)

  • 17. Sarah Brinkhues, Axel Klawonn, Oliver Rheinbach, Jorg Schröder, "Augmented Lagrange Methods in the Simulation of Soft Biological Tissue'', Int. J. Numer. Methods Biomed. Eng. (IJNMBE), doi: 10.1002/cnm.2504. Available online August 2, 2012. http://dx.doi.org/10.1002/cnm.2504 .
  • 16. Daniel Balzani, Dirk Böse, Dominik Brands, Raimund Erbel, Axel Klawonn, Oliver Rheinbach, Jorg Schröder, "Parallel Simulation of Patient-specific Atherosclerotic Arteries for the Enhancement of Intravascular Ultrasound Diagnistics'', Engineering Computations, Vol. 29 (8). Early view http://www.emeraldinsight.com/journals.htm?articleid=17042078 .
  • 15. Sabrina Gippert, Axel Klawonn, Oliver Rheinbach, "Analysis of FETI-DP and BDDC Algorithms for a linear elasticity problems in 3D with compressible and almost incompressible material components'', SIAM J. Numer. Anal. 50-5 (2012), pp. 2208-2236. http://dx.doi.org/10.1137/110838315 .
  • 14. Axel Klawonn, Oliver Rheinbach, "Deflation, Projector Preconditioning, and Balancing in Iterative Substructuring Methods: Connections and New Results", SIAM J. Sci. Comput. 34, A459-A484 (2012); http://dx.doi.org/10.1137/100811118
  • 13. Axel Klawonn, Patrizio Neff, Oliver Rheinbach, Stefanie Vanis, "FETI-DP domain decomposition methods for elasticity with structural changes: p-elasticity ", ESAIM Math. Model. Numer. Anal. (formerly M2AN Math. Model. Numer. Anal.), 2011, 45: 563-602, http://dx.doi.org/10.1051/m2an/2010067 .
  • 12. Marta Jarosova, Axel Klawonn, Oliver Rheinbach,  "Projector preconditioning and transformation of basis in FETI-DP algorithms for contact problems", Math. Comput. Simulation, in press, available online Dec. 7th, 2010, http://dx.doi.org/10.1016/j.matcom.2010.10.031 .
  • 11. Axel Klawonn, Patrizio Neff, Oliver Rheinbach, Stefanie Vanis, "Solving geometrically exact micromorphic elasticity with a staggered algorithm", GAMM-Mitt. 33, No. 1, 57-72 (2010), http://dx.doi.org/10.1002/gamm.201010005 .
  • 10. Daniel Balzani, Dominik Brands, Axel Klawonn, Oliver Rheinbach, Jörg Schröder, "On the mechanical modeling of anisotropic biological soft tissue and iterative parallel solution strategies", Archive of Applied Mechanics, Vol. 80, No. 5 (2010), pp. 479-488, http://dx.doi.org/10.1007/s00419-009-0379-x .
  • 9. Axel Klawonn, Oliver Rheinbach, "Highly scalable parallel domain decompositiroon methods with an application to biomechanics.", ZAMM Z. Angew. Math. Mech., 90 (2010), Nr. 1, p. 5-32, ISSN: 0044-2267, 1521-4001, http://dx.doi.org/10.1002/zamm.200900329 .
  • 8. Oliver Rheinbach, "Parallel Iterative Substructuring in Structural Mechanics", Arch. Comput. Methods Eng., 16 (2009), Nr. 4, p. 425-463, ISSN: 1134-3060, 1886-1784, http://dx.doi.org/10.1007/s11831-009-9035-4 .
  • 7. Axel Klawonn, Oliver Rheinbach, Olof Widlund. “An Analysis of a FETI-DP Algorithm on Irregular Subdomains in the Plane.”, SIAM J. Numer. Anal. (SINUM), Vol. 46, No. 5, pp. 2484–2504, 2008, http://dx.doi.org/10.1137/070688675 . Auch verfügbar als: Department of Computer Science, Courant Institute, TR2007-889, 2007.
  • 6. Axel Klawonn, Luca Pavarino, Oliver Rheinbach, "Spectral element FETI-DP and BDDC preconditioners with multi-element subdomains", Comput. Methods Appl. Mech. and Engrg. (CMAME), Vol. 198, No. 3–4, pp. 511– 523, 2008, http://dx.doi.org/10.1016/j.cma.2008.08.017 .
  • 5. Dominik Brands, Axel Klawonn, Oliver Rheinbach, Jörg Schröder, "Modeling and Convergence in Arterial Wall Simulation Using a Parallel FETI Solution Strategy", Computer Methods in Biomechanics and Biomechedical Engineering, Vol. 11, No. 5, pp. 569–583, 2008, http://dx.doi.org/10.1080/10255840801949801
  • 3. Axel Klawonn, Oliver Rheinbach, "Robust FETI-DP Methods for Heterogeneous Three Dimensional Elasticity Problems", Comput. Methods Appl. Mech. Engrg. (CMAME), 196:1400-1414,  Jan. 2007, http://dx.doi.org/10.1016/j.cma.2006.03.023 . Preprint in Schriftenreihe Mathematik.
  • 2. 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. (SISC), 28:1886-1906, Nov. 2006. http://dx.doi.org/10.1137/050624364 . Preprint in Schriftenreihe Mathematik.
  • 1. Stefanie Vanis, Oliver Rheinbach, Axel Klawonn, Oleg Prymak, and Matthias Epple, "Computing the Type and Extent of Porosity of Porous Bone Substitution Materials by Numerical Methods for Analysing Synchro tron Micro Computer Tomographic Data", Mat.-wiss. u. Werkstofftechn., Vol. 37, No. 6, 2006, http://dx.doi.org/10.1002/mawe.200600021 .

Chapters in books (Buchkapitel)

  • Axel Klawonn, Oliver Rheinbach und Luca F. Pavarino, “Exact and Inexact FETI-DP Methods for Spectral Elements in Two Dimensions.”, In U. Langer and M. Discacciati and D.E. Keyes and O.B. Widlund and W. Zulehner, Domain Decomposition Methods in Science and Engineering XVII, Lect. Notes Comput. Sci. Engrg., S. 279–286, 2008, http://dx.doi.org/10.1007/978-3-540-75199-1_32 or at ddm.org .
  • Axel Klawonn, Oliver Rheinbach, and Barbara Wohlmuth, "Dual-Primal Iterative Substructuring Methods for Almost Incompressib le Elasticity", in David E. Keyes and Olof B. Widlund (Eds.), Domain Decomposition Methods in Science and Engineering, Lect. Notes Comput. Sci. Engrg., Vol. 55, pp.399-406, Jan. 2007, http://dx.doi.org/10.1007/978-3-540-34469-8_49 or at ddm.org . Preprint in Schriftenreihe Mathematik.
  • Axel Klawonn, Oliver Rheinbach, "Some Computational Results for Robust FETI-DP Methods Applied to Heterogeneous Elasticity Problems in 3D", in David E. Keyes and Olof B. Widlund (Eds.), Domain Decomposition Methods in Science and Engineering , Lect. Notes Comput. Sci. Engrg., Vol. 55, pp.391-398, Jan. 2007, http://dx.doi.org/10.1007/978-3-540-34469-8_48 or at ddm.org .
  • Axel Klawonn, Oliver Rheinbach, and Olof B. Widlund, "Some Computational Results for Dual-Primal FETI Methods for Three Dim ensional Elliptic Problems", in R. Kornhuber, R. H. W. Hoppe, D. E. Keyes, J. Periaux, O. Pironneau, and J. Xu (E d.), Domain Decomposition Methods in Science and Engineering, Lect. Notes Comput. Sci. Engrg., Vol. 40, pp.361-368 , Berlin, Springer, 2005, http://dx.doi.org/10.1007/3-540-26825-1_36 or at ddm.org .

 

 

SOME CONFERENCE PROCEEDINGS (SOME PEER REVIEWED)

  • Dominik Brands, Jörg Schröder, Axel Klawonn, Oliver Rheinbach, Dirk Böse, Raimund Erbel, "Numerical Simulation of Arterial Walls Based on IVUS-data", PAMM, Vol. 9 (2009), Nr. 1, pp. 75-78, http://dx.doi.org/10.1002/pamm.200910020 .
  • Dominik Brands, Axel Klawonn, Oliver Rheinbach, Jörg Schröder, "On the Visualization of Patient Specific Arterial Geometries Using the Virtual Histology", PAMM, Vol. 8, No. 1, Dec. 2008, pp. 10169-10170, published online: Feb 25 2009 6:11AM,  http://dx.doi.org/10.1002/pamm.200810169 .
  • Dominik Brands, Jörg Schröder, Axel Klawonn, Oliver Rheinbach, Dirk Böse, Raimund Erbel: Numerical simulation of arterial walls based on IVUS-data. PAMM, Vol. 9 (2009) Nr. 1, pp. 75-78, http://dx.doi.org/10.1002/pamm.200910020 .
  • Axel Klawonn, Patrizio Neff, Oliver Rheinbach, Stefanie Vanis, FETI-DP Methods for P-Elasticity, PAMM, Vol. 8, No. 1, Dec. 2008, pp. 10859-10860, published online: Feb 26 2009, http://dx.doi.org/10.1002/pamm.200810859 .
  • Daniel Balzani, Dominik Brands, Axel Klawonn, Oliver Rheinbach, Large-scale simulation of arterial walls: mechanical modeling
    PAMM, Vol. 7, No. 1, December 2007, pp. 4020017-4020018, published online: 7 Aug 2008, http://dx.doi.org/10.1002/pamm.200700400 .
  • Oliver Rheinbach, Axel Klawonn, Daniel Balzani, Jörg Schröder, Dominik Brands. “Simulation of Arterial Walls: An Algebraic Interface To Iterative Substructuring.” Proceedings of the III. International Conference on Computational Bioengineering, Venezuela, 2007.
  • Daniel Balzani, Jörg Schröder, Dominik Brands, Axel Klawonn, Oliver Rheinbach. “Computer Simulation of Damage in Overstretched Atherosclerotic Arteries.”, Proceedings of the III. International Congress on Computational Bioengineering, Venezuela, 2007.
  • Jörg Schröder, Axel Klawonn, Oliver Rheinbach, Dominik Brands. “Aspects of Modelling and Large Scale Simulation of Arterial Walls.”, In BHV Topping, 15th UK Conference of the Association of Computational Mechanics in Engineering, Stirling, United Kingdom, 2007.
  • Dominik Brands, Jörg Schröder, Daniel Balzani, Axel Klawonn, Oliver Rheinbach. “Modeling Computational Aspects of Arterial Walls.”, In Proceedings of the IX. International Conference on Computational Plasticity, S. 261–264, Barcelona, Spanien, 2007.
  • Daniel Balzani, Dominik Brands, Axel Klawonn, Oliver Rheinbach, Jörg Schröder, “Simulation Arterial Walls Using FETI Domain Decomposition Methods”, Proceedings of ECCOMAS Thematic Conference: MHM 2007, Prag, Ungarn, 2007.
  •  Jörg Schröder, Axel Klawonn, Daniel Balzani, Oliver Rheinbach, Dominik Brands. “On Mechanical Modeling of Arterial Walls and Parallel Solution Stragies.” 2nd GAMM Seminar on Continuum Biomechanics, Eds.: Ehlers, W., Markert, B., Freudenstadt, Germany, Nov. 22-24, 2006. http://dx.doi.org/10.1007/s00419-009-0379-x .

ACCEPTED PUBLICATIONS (Angenommene Arbeiten)

 

Chapters in Books (Eingereichte Buchkapitel)

  • Dirk Böse, Sarah Brinkhues, Raimund Erbel, Axel Klawonn, Oliver Rheinbach, Jörg Schröder, "A Simultaneous Augmented Lagrange Approach for the Simulation of Soft Biological Tissue", Mai 2011, 8p. Accepted 2012 for publication.
  • Sabrina Gippert, Axel Klawonn, Oliver Rheinbach, "FETI-DP for elasticity with almost incompressible material components", Mai 2011, 8p. Accepted 2012 for publication.

 

Dr. Oliver Rheinbach

Dipl.-Math., Dipl.-Wirt.-Inf.

Ab WS12/13:

Universität zu Köln

WS11/12 und SS12:

Mathematik in Industrie und Technik

Fakultät für Mathematik

TU Chemnitz

 

Ich bin für Sie weiterhin erreichbar unter

Oliver.Rheinbach@uni-due.de

 

Sprechstunde: Nach Vereinbarung

 

Arbeitsgruppe Numerische Mathematik und Numerische Simulation