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Publications (refereed) 

  1. A. Klawonn, Block-Triangular Preconditioners for Saddle Point Problems with a Penalty Term , SIAM J. Sci. Comput., 19(1), January 1998, pp. 172-184, http://dx.doi.org/10.1137/S1064827596303624 .

  2. A. Klawonn, An optimal Preconditioner for a Class of Saddle Point Problems with a Penalty Term , SIAM J. Sci. Comput., 19(2), March 1998, pp. 540-552, http://dx.doi.org/10.1137/S1064827595279575.

  3. A. Klawonn and L.F. Pavarino, Overlapping Schwarz methods for mixed linear elasticity and Stokes problems , Comp. Meth. Appl. Mech. Engrg., Vol. 165, pp. 233-245, 1998, http://dx.doi.org/10.1016/S0045-7825(98)00059-0 .

  4. A. Klawonn, Additive Domain Decomposition Algorithms for a class of mixed finite elements , AMS Contemporary Mathematics, 218, 1998, pp. 296-303, Article .

  5. A. Klawonn, Two Preconditioners for Saddle Point Problems with Penalty Term , Proceedings of the Ninth International Conference on Domain Decomposition Methods, Bergen, Norway, June 3-8, 1996, pp. 147-154, 1998, DD9.ps .

  6. A. Klawonn and L.F. Pavarino, 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, Volume 4, 1998, pp. 219-224.

  7. A. Klawonn and G. Starke, Block Triangular Preconditioners for Nonsymmetric Saddle Point Problems: Field-of-Values Analysis , Numer. Math. (1999) 81:577-594,

  8. A. Klawonn and O.B. Widlund, A domain decomposition method with Lagrange multipliers for linear elasticity , 1999, Proceedings of the Eleventh International Conference on Domain Decomposition Methods, Greenwich, UK, July 20-24, 1998, pp. 49-56, DD11proc.ps .

  9. D. Stefanica and A. Klawonn , The FETI method for Mortar Finite Elements , 1999, Proceedings of the Eleventh International Conference on Domain Decomposition Methods, Greenwich, UK, July 20-24, 1998, pp. 121-129, DD11proc.ps . Note: See also the extended technical report below.

  10. A. Klawonn and L.F. Pavarino, A Comparison of Overlapping Schwarz Methods and Block Preconditioners for Saddle Point Problems , Numer. Linear Algebra Appl. 2000, 7:1-25, Abstract and Article .

  11. A. Klawonn and O.B. Widlund, A domain decomposition method with Lagrange multipliers and inexact solvers for linear elasticity , SIAM J. Sci. Comput., 2000, Vol. 22, No. 4, pp.1199-1219. http://dx.doi.org/10.1137/S1064827599352495 .

  12. A. Klawonn, An iterative substructuring method with Lagrange multipliers for elasticity problems using approximate Neumann subdomain solvers , In: Multifield Problems: State of the Art, Editors: A.-M. Saendig, W. Schielen, W.L. Wendland, Springer-Verlag, Berlin, 2000, pp. 193-200.

  13. A. Klawonn and O.B. Widlund, New Results on FETI methods for Elliptic Problems with Discontinuous Coefficients , Numerical Analysis 1999, Editors D.F. Griffiths and G.A. Watson, CRC Press/Chapman & Hall, 2000, pp. 191- 209.

  14. A. Klawonn and O.B. Widlund, FETI and Neumann-Neumann Iterative Substructuring Methods: Connections and New Results , Comm. Pure Appl. Math., January 2001, Vol. 54, pp.57-90. http://dx.doi.org/10.1002/1097-0312(200101)54:1<57::AID-CPA3>3.0.CO;2-D

  15. A. Toselli and A. Klawonn, A FETI domain decomposition method for Edge Element Approximations in Two Dimensions with Discontinuous Coefficients , SIAM J. Numer. Anal., 2001, Vol. 39, No. 3, pp. 932-956, http://dx.doi.org/10.1137/S0036142999361372 .

  16. D.J. Rixen, P. Le Tallec, and A. Klawonn , A Matrix Description for the Domain Decomposition Methods of the FETI family , September 2000, Proceedings of the First MIT Conference on Computational Fluid and Solid Mechanics, MIT, Cambridge, USA, June 12-14, 2001, Elsevier, pp. 1636-1639.

  17. A. Klawonn and O.B. Widlund, Dual and Dual-Primal FETI Methods for Elliptic Problems with Discontinuous Coefficients in Three Dimensions , 2001, Proceedings of the 12th International Conference on Domain Decomposition Methods, Chiba, Japan, October 25-29, 1999, pp. 29-40. DD12proc.ps .

  18. A. Klawonn and O.B. Widlund, FETI-DP Methods for Elliptic Problems with Discontinuous Coefficients in Three Dimensions, Proceedings of the 13th International Conference on Domain Decomposition Methods, Lyon, France, October, 2000, Editors: N. Debit, M. Garbey, R. Hoppe, D. Keyes, Y. Kuznetsov, J. Periaus, CIMNE Barcelona (A Series of Handbooks on Theory and Engineering Applications of Computational Methods), pp.405-411. April 2002.

  19. A. Klawonn, O.B. Widlund, and M. Dryja, Dual-Primal FETI Methods for Three-Dimensional Elliptic Problems with Heterogeneous Coefficients , SIAM J. Numer. Anal., April 2002, Vol. 40, No. 1, pp. 159-179, http://dx.doi.org/10.1137/S0036142901388081 .

  20. A. Klawonn, O.B. Widlund, and M. Dryja, Dual-Primal FETI Methods with Face Constraints , Proceedings of a workshop on domain decomposition methods held at ETH Zürich June 7/8, 2001. Editors: Luca Pavarino and Andrea Toselli. Berlin: Springer. Lect. Notes Comput. Sci. Eng. 23, 27-40 (2002).

  21. A. Klawonn and G. Starke, A Preconditioner for the Equations of Linear Elasticity Discretized by the PEERS Element , Numer. Linear Algebra Appl., Vol. 11, No. 5/6, pp. 493-510, June-August 2004, http://dx.doi.org/10.1002/nla.357 .

  22. A. Klawonn, O. Rheinbach, and O.B. Widlund, Some Computational Results for Dual-Primal FETI Methods for Three Dimensional Elliptic Problems. In: Domain Decomposition Methods in Science and Engineering, Editors: R. Kornhuber, R.H.W. Hoppe, D.E. Keyes, J. Periaux, O. Pironneau, and J. Xu. Berlin: Springer. Lect. Notes Comput. Sci. Eng., Vol. 40, pp. 361-368, 2005, http://dx.doi.org/10.1007/3-540-26825-1_36 .

  23. A. Klawonn and O.B. Widlund, Selecting Constraints in Dual-Primal FETI Methods for Elasticity in Three Dimensions, In: Domain Decomposition Methods in Science and Engineering, Editors: R. Kornhuber, R.H.W. Hoppe, D.E. Keyes, J. Periaux, O. Pironneau, and J. Xu. Berlin: Springer. Lect. Notes Comput. Sci. Eng., Vol. 40, pp. 67-81, 2005.

  24. S. Vanis, O. Rheinbach, A. Klawonn, O. Prymak, M. Epple , Numerical computation of the porosity of bone substitution materials from synchrotron micro computer tomographic data, Mat.-wiss. u. Werkstofftechn., Vol. 37, No. 6, 2006, http://dx.doi.org/10.1002/mawe.200600021 .

  25. A. Klawonn , FETI Domain Decomposition Methods for Second Order Partial Differential Equations , GAMM Mitteilungen, Vol. 29, No. 2, pp. 319-341, 2006.

  26. A. Klawonn and O.B. Widlund, Dual-Primal FETI Methods for Linear Elasticity Comm. Pure Appl. Math., Vol. 59, No. 11, pp.1523-1572, November 2006, http://dx.doi.org/10.1002/cpa.20156 .

  27. A. Klawonn and O. Rheinbach, A Parallel Implementation of Dual-Primal FETI Methods for Three Dimensional Linear Elasticity Using a Transformation of Basis, SIAM J. Sci. Comput., Vol. 28, No. 5, pp. 1886-1906, November 2006, http://dx.doi.org/10.1137/050624364 .

  28. Axel Klawonn, Oliver Rheinbach, and Barbara Wohlmuth , Dual-primal iterative substructuring for almost incompressible elasticity , Springer Lect. Notes Comput. Sci. Eng., Vol. 55, pp. 399- 406, January 2007, http://dx.doi.org/10.1007/978-3-540-34469-8_49 .

  29. Axel Klawonn and Oliver Rheinbach, Some computational results for robust FETI-DP methods applied to heterogeneous elasticity problems in 3D , Springer Lect. Notes Comput. Sci. Eng., Vol. 55, pp. 391-398, January 2007, http://dx.doi.org/10.1007/978-3-540-34469-8_48 .

  30. A. Klawonn and O. Rheinbach, Robust FETI-DP methods for heterogeneous three dimensional elasticity problems , Comput. Meth. Appl. Mech. Engrg., Vol. 196, pp. 1400-1414, January 2007, http://dx.doi.org/10.1016/j.cma.2006.03.023 .

  31. A. Klawonn and O. Rheinbach , Inexact FETI-DP Methods , Inter. J. Numer. Methods Engrg., Vol. 69, pp. 284-307, January 2007, published electronically June 2006, http://dx.doi.org/10.1002/nme.1758 .

  32. C. Dohrmann, A. Klawonn, and O. Widlund, Extending theory for domain decomposition algorithms to irregular subdomains January 2008, Springer Lect. Notes Comput. Sci. Eng. Vol. 60, Editors U. Langer, M. Discacciati, O. Widlund, W. Zulehner.

  33. A. Klawonn, L. Pavarino, and O. Rheinbach, Exact and inexact FETI-DP methods for spectral elements in two dimensions, January 2008, Springer Lect. Notes Comput. Sci. Eng. Vol. 60, Editors U. Langer, M. Discacciati, O. Widlund, W. Zulehner, http://dx.doi.org/10.1007/978-3-540-75199-1_32 .

  34. C. Dohrmann, A. Klawonn, and O. Widlund, A family of energy minimizing coarse spaces for overlapping Schwarz preconditioners, January 2008, Springer Lect. Notes Comput. Sci. Eng. Vol. 60, Editors U. Langer, M. Discacciati, O. Widlund, W. Zulehner.

  35. C. Dohrmann, A. Klawonn, and O. Widlund, Domain decomposition for less regular subdomains: Overlapping Schwarz in two dimensions, published online May 2, 2008, SIAM J. Numer. Anal., Vol. 46, No. 4, pp. 2153-2168.

  36. A. Klawonn, O. Rheinbach and O. Widlund, An analysis of a FETI-DP algorithm on irregular subdomains in the plane, published online June 11, 2008, SIAM J. Numer. Anal., Vol. 46, No. 5, pp. 2484-2504, http://dx.doi.org/10.1137/070688675 .

  37. D.Brands, A.Klawonn, O.Rheinbach, and J.Schröder, Modeling and convergence in arterial wall simulations using a parallel FETI solution strategy, Computer Methods in Biomechanics and Biomedical Engineering, Vol. 11, No. 5, October 2008, pp. 569-583, http://dx.doi.org/10.1080/10255840801949801 .
  38. A. Klawonn, L. Pavarino, and O. Rheinbach, Spectral element FETI-DP and BDDC preconditioners with multi-element subdomains, October 2007, revised August 2008. Comput. Meth. Appl. Mech. Engrg, Vol. 198 (3-4), pp. 511-523, 2008, http://dx.doi.org/10.1016/j.cma.2008.08.017 .
  39. D. Balzani, D. Brands, A. Klawonn, O. Rheinbach, J. Schröder On the mechanical modeling of anisotropic biological soft tissue an iterative parallel solution strategies, Archive of Applied Mechanics, Special Issue, November 2009 http://dx.doi.org/10.1007/s00419-009-0379-x
  40. Axel Klawonn and Oliver Rheinbach, Highly scalable parallel domain decomposition methods with an application to biomechanics, Z.Angew. Math. Mech. (ZAMM), 90, No. 1, pp.5-32, 2010, http://dx.doi.org/10.1002/zamm.200900329
  41. Axel Klawonn, Patrizio Neff, Oliver Rheinbach and Stefanie Vanis, Solving geometrically exact micromorphic elastcity with a staggered algorithm, GAMM-Mitteilungen, 33, No. 1, 57-72 (2010) DOI, http://dx.doi.org/10.1002/gamm.201010005
  42. Axel Klawonn, Patrizio Neff, Oliver Rheinbach and 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 .
  43. Axel Klawonn, Oliver Rheinbach, "Deflation, Projector Preconditioning, and Balancing in Iterative Substructuring Methods: Connections and New Results", SIAM J. Sci. Comput. 34(1) (2012), pp. A459-A484 (26 pages), http://dx.doi.org/10.1137/100811118.
  44. Marta Jarosova, Axel Klawonn and Oliver Rheinbach, Projector preconditioning and transformation of basis in FETI-DP algorithms for contact problems, Math. Comp. Simulation, Volume 82, Issue 10, June 2012, Pages 1894–1907, http://dx.doi.org/10.1016/j.matcom.2010.10.031
  45. Sabrina Gippert, Axel Klawonn, Oliver Rheinbach, "Analysis of FETI-DP and BDDC Algorithms for linear elasticity problems in 3D with almost incompressible components and varying coefficients inside subdomains", SIAM J. Numer. Anal. 50-5 (2012), pp. 2208-2236 http://dx.doi.org/10.1137/110838315
  46. Daniel Balzani, Dirk Böse, Dominik Brands, Raimund Erbel, Axel Klawonn, Oliver Rheinbach, Jörg Schröder, "Parallel Simulation of Patient-specific Atherosclerotic Arteries for the Enhancement of Intravascular Ultrasound Diagnistics". Engineering Computations, Vol. 29 No. 8, pp. 888-906 (2012) http://dx.doi.org/10.1137/130920563
  47. Dirk Böse, Sarah Brinkhues, Raimund Erbel, Axel Klawonn, Oliver Rheinbach, Jörg Schröder, "A Simultaneous Augmented Lagrange Approach for the Simulation of Soft Biological Tissue", Lecture Notes in Computational Science and Engineering, Springer-Verlag, Vol. 91, pp. 369-376 (2013).
  48. Sabrina Gippert, Axel Klawonn, Oliver Rheinbach, "FETI-DP for elasticity with almost incompressible material components". May 2011, Lecture Notes in Computational Science and Engineering, Springer-Verlag, Vol. 91, pp 353-360 (2013).
  49. Sarah Brinkhues, Axel Klawonn, Oliver Rheinbach, Jörg Schröder, "Augmented Lagrange Methods for quasi-incompressible materials - Applications to Soft Biological Tissue", Int. J. Numer. Methods Biomed. Eng (IJNMBE), Vol 29, No. 3, pp. 332-350 (2013)http://dx.doi.org/10.1002/cnm.2504
  50. Axel Klawonn, Martin Lanser, and Oliver Rheinbach, "Nonlinear FETI-DP and BDDC Methods", SIAM J. Sci. Comput., Vol. 36, No. 2, 2014, pp. 737-765, dowload pdf http://dx.doi.org/10.1137/130920563.
  51. Ulrich Hetmaniuk and Axel Klawonn, "Error Estimates for a Two-Dimensional Special Finite Element Method Based on Component Mode Synthesis", Electronic Transactions on Numerical Analysis (ETNA), Vol. 41, 2014, pp. 109-132, Link.
  52. Axel Klawonn, Martin Lanser, Patrick Radtke, and Oliver Rheinbach, "On an Adaptive Coarse Space and on Nonlinear Domain Decomposition", In: Domain Decomposition Methods in Science and Engineering XXI, Editors: Erhel, J., Gander, M.,Halpern, L., Pichot, G., Sassi, T., Widlund, O.B. Springer Lecture Notes on Computational Science and Engineering, Vol. 98, 2014, pp. 71-83. Proceedings of the 21st International Conference on Domain Decomposition Methods in Science and Engineering, Rennes, France, June 25-29, 2012. pdf http://dx.doi.org/10.1007/978-3-319-05789-7_6
  53. Sabrina Gippert, Axel Klawonn, and Oliver Rheinbach, "A Deflation Based Coarse Space in Dual-Primal FETI Methods for Almost Incompressible Elasticity", Proceedings of the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH), Lausanne, August 26-30, 2013. Springer Lecture Notes on Computational Science and Engineering, Vol. 103, 2015, pp. 573-582. http://dx.doi.org/10.1007/978-3-319-10705-9_56
  54. Axel Klawonn, Patrick Radtke, and Oliver Rheinbach, "FETI-DP Methods with an Adaptive Coarse Space", SIAM Journal of Numerical Analyis (SINUM), Vol. 53, No. 1, pp. 297-320, January 2015. dowload pdf http://dx.doi.org/10.1137/130939675.
  55. Alexander Heinlein, Ulrich Hetmaniuk, Axel Klawonn, and Oliver Rheinbach, "The Approximate Component Mode Synthesis Special Finite Element Method in Two Dimensions: Parallel Implementation and Numerical Results", Journal of Computational and Applied Mathematics, Vol. 289, pp. 116-133, May 2015. http://dx.doi.org/10.1016/j.cam.2015.02.053.
  56. Axel Klawonn, Martin Lanser, Oliver Rheinbach, Holger Stengel and Gerhard Wellein, "Hybrid MPI/OpenMP parallelization in FETI-DP methods", Proceedings of "Recent Trends in Computational Engineering - CE2014", Springer Lecture Notes on Computational Science and Engineering, Vol. 105, pp. 67-84, 2015. Link and Preprint.
  57. Daniel Balzani, Simone Deparis, Simon Fausten, Davide Forti, Alexander Heinlein, Axel Klawonn, Alfio Quarteroni, Oliver Rheinbach, and Jörg Schröder, “Numerical Modeling of Fluid-Structure Interaction in Arteries with Anisotropic Polyconvex Hyperelastic and Anisotropic Viscoelastic Material Models at Finite Strains”, Int. J. Numer. Methods Biomed. Eng (IJNMBE), 2015. Submitted May 2015, revised version October 2015, accepted for publication October 2015. Published online December 7, 2015, http://dx.doi.org/10.1002/cnm.2756Preprint
  58. Axel Klawonn, Martin Lanser, and Oliver Rheinbach, "Towards Extremely Scalable Nonlinear Domain Decomposition Methods for Elliptic Partial Differential Equations", SIAM J. Sci. Comp., Vol. 37, No. 6, December 8, 2015, pp. C667-C696, http://dx.doi.org/10.1137/140997907 and pdf.
  59. Axel Klawonn, Patrick Radtke, and Oliver Rheinbach, "Adaptive Coarse Spaces for BDDC with a Transformation of Basis", Proceedings of the 22nd International Conference on Domain Decomposition Methods in Science and Engineering, Lugano, Switzerland, September 2013. Editors: Dickopf, T., Gander, M., Krause, R., Pavarino, L. Springer Lecture Notes on Computational Science and Engineering, 104, 2016, pp 301-309. Submitted January 2014, revised version July 2014. Accepted for publication August 2014. Published March 2016. .Preprint and Link. http://dx.doi.org/10.1007/978-3-319-18827-0_29
  60. Axel Klawonn, Patrick Radtke, and Oliver Rheinbach, "A Newton-Krylov-FETI-DP Method with an Adaptive Coarse Space Applied to Elastoplasticity", Proceedings of the 22nd International Conference on Domain Decomposition Methods in Science and Engineering, Lugano, Switzerland, September 2013. Editors: Dickopf, T., Gander, M., Krause, R., Pavarino, L. Springer Lecture Notes on Computational Science and Engineering, 104, 2016, pp. 293-300. Submitted January 2014, revised version May 2014. Accepted for publication August 2014. Published March 2016. Preprint and Link. http://dx.doi.org/10.1007/978-3-319-18827-0_28
  61. Axel Klawonn, Martin Lanser, and Oliver Rheinbach, "A Nonlinear FETI-DP Method with an Inexact Coarse Problem", Proceedings of the 22nd International Conference on Domain Decomposition Methods in Science and Engineering, Lugano, Switzerland, September 2013. Editors: Dickopf, T., Gander, M., Krause, R., Pavarino, L. Springer Lecture Notes on Computational Science and Engineering, 104, 2016, pp. 41-52. Submitted January 2014, revised version July 2014. Accepted for publication October 2014. http://dx.doi.org/10.1007/978-3-319-18827-0_4
  62. Axel Klawonn, Patrick Radtke, Oliver Rheinbach, "A Comparison of Adaptive Coarse Spaces for Iterative Substructuring Methods in Two Dimensions", Electronic Transactions on Numerical Analysis (ETNA), Vol. 45, pp. 75–106, 2016. Submitted July, 2015, accepted March, 2016, published electronically March 31, 2016. Preprint. Link
  63. Axel Klawonn, Martin Lanser, Oliver Rheinbach, "FE^2TI: Computational Scale Bridging for Dual-Phase Steels". Proceedings of ParCo 2015, pp. 797 - 806, IOS Series: Advances in Parallel Computing, Volume 27, Parallel Computing: On the Road to Exascale, 2016. Preprint.
  64. A. Klawonn, M. Kühn, O. Rheinbach, "Adaptive Coarse Spaces for FETI-DP in Three Dimensions", SIAM J. Sci. Comput., Vol. 38(5), pp. A2880–A2911. Submitted November 2015, accepted July 2016, published electronically September 2016.  PDF Preprint.  Link.
  65. Allison H. Baker, Axel Klawonn, Tzanio Kolev, Martin Lanser, Oliver Rheinbach, Ulrike Meier Yang, "Scalability of Classical Algebraic Multigrid for Elasticity to Half a Million Parallel Tasks", Software for Exascale Computing - SPPEXA 2013-2015, vol. 113 Springer LNCSE, pages 113--140, 2016, Preprint.
  66. D. Balzani, A. Gandhi, A. Klawonn, M. Lanser, O. Rheinbach, J. Schröder, "One-way and fully-coupled FE^2 methods for heterogeneous elasticity and plasticity problems: Parallel scalability and an application to thermo-elastoplasticity of dual-phase steels", Software for Exascale Computing - SPPEXA 2013-2015, vol. 113
    Springer LNCSE, pages 91--112, 2016, Preprint.
  67. Axel Klawonn, Martin Lanser, Oliver Rheinbach, "A Highly Scalable Implementation of Inexact Nonlinear FETI-DP without Sparse Direct Solvers". Proceedings of the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH), Ankara, September, 2015. Springer Lecture Notes on Computational Science and Engineering, Vol. 112, 2016, pp. 255-264. Preprint.
  68. A. Heinlein, A. Klawonn, O. Rheinbach, "Parallel Two-Level Overlapping Schwarz Methods in Fluid-Structure Interaction", Proceedings of the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH), Ankara, September, 2015. Springer Lecture Notes on Computational Science and Engineering, Vol. 112, 2016, pp. 521-530. Preprint.
  69. Alexander Heinlein, Axel Klawonn, Oliver Rheinbach, "A Parallel Implementation of a Two-Level Overlapping Schwarz Method with an Energy-Minimizing Coarse Space based on Trilinos", SIAM J. Sci. Comp., Vol. 38, No. 6, December 6, 2016, pp. C713-C747Preprint and  http://dx.doi.org/10.1137/16M1062843.
  70. A. Heinlein, A. Klawonn, O. Rheinbach, "Parallel Overlapping Schwarz with an Energy-Minimizing Coarse Space", Proceedings of the International Conference on Domain Decomposition Methods 23. Springer Lecture Notes on Computational Science and Engineering, Vol. 116, March 2017, pp. 353-360. Preprint and  http://dx.doi.org/10.1007/978-3-319-52389-7_36.
  71. A. Klawonn, M. Lanser, B. Niehoff, P. Radtke, O. Rheinbach, "Newton-Krylov-FETI-DP with Adaptive Coarse Spaces", Proceedings of the International Conference on Domain Decomposition Methods 23. Springer Lecture Notes on Computational Science and Engineering, Vol. 116, March 2017, pp. 197-205.  https://doi.org/10.1007/978-3-319-52389-7_19.
  72. A. Klawonn, M. Lanser, O. Rheinbach, M. Uran, "New Nonlinear FETI-DP Methods Based on a Partial Nonlinear Elimination of Variables", Proceedings of the International Conference on Domain Decomposition Methods 23. Springer Lecture Notes on Computational Science and Engineering, Vol. 116, March 2017, pp. 207-215.  https://doi.org/10.1007/978-3-319-52389-7_20
  73. A. Klawonn, M. Kühn, O. Rheinbach, "Adaptive Coarse Spaces for FETI-DP in Three Dimensions with Applications to Heterogeneous Diffusion Problems". In: Lee CO. et al. (eds) Domain Decomposition Methods in Science and Engineering XXIII. Lecture Notes in Computational Science and Engineering, vol 116. Springer, Cham.  Link

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Accepted for publication

  1. Axel Klawonn, Martin Lanser, Oliver Rheinbach, and Matthias Uran. "Nonlinear FETI-DP and BDDC Methods: A Unified Framework and Parallel Results", Accepted for publication in SIAM J. Sci. Comp. August 2017, submitted November 2016.

     
     

Submitted for publication

  1. Alexander Heinlein, Axel Klawonn, Jascha Knepper, and Oliver Rheinbach"Multiscale Coarse Spaces for Overlapping Schwarz Methods Based on the ACMS Space in 2D", Submitted for publication to Electronic Transactions on Numerical Analysis (ETNA), August 2016.  PDF Preprint.
  2. A. Klawonn, M. Kühn, O. Rheinbach, "FETI-DP and BDDC Methods with a Generalized Transformation of Basis For Heterogeneous Problems: Connections to Deflation". Submitted April 2017.  PDF Preprint.
  3. Alexander Heinlein, Axel Klawonn, Oliver Rheinbach, Olof Widlund, "Improving the Parallel Performance of Overlapping Schwarz Methods by Using a Smaller Energy Minimizing Coarse Space", Submitted for for publication to the proceedings of the International Conference on Domain Decomposition Methods 24, Springer LNCSE, May 2017.
  4. Alexander Heinlein, Axel Klawonn, Jascha Knepper, Oliver Rheinbach, "An Adaptive GDSW Coarse Space for Two-Level Overlapping Schwarz Methods in Two Dimensions", Submitted for for publication to the proceedings of the International Conference on Domain Decomposition Methods 24, Springer LNCSE, May 2017.
  5. Axel Klawonn, Martin Lanser, Oliver Rheinbach, "Using Algebraic Multigrid in Inexact BDDC Domain Decomposition Methods", Submitted for for publication to the proceedings of the International Conference on Domain Decomposition Methods 24, Springer LNCSE, May 2017.
  6. Axel Klawonn, Martin Lanser, Oliver Rheinbach, Matthias Uran "Choosing the Accuracy of the Inner Newton Iteration in Nonlinear Domain Decomposition", Submitted for for publication to the proceedings of the International Conference on Domain Decomposition Methods 24, Springer LNCSE, May 2017.
  7. A. Klawonn, M. Kühn, O. Rheinbach, "Preconditioning of Iterative Eigenvalue Problem Solvers in Adaptive FETI-DP". Submitted to the proceedings of the International Conference on Domain Decomposition Methods 24, May 2017.
  8. A. Klawonn, M. Kühn, O. Rheinbach,"Adaptive FETI-DP and BDDC methods with a Generalized Transformation of Basis for Heterogeneous Problems". Submitted July 2017.
  9. A. Klawonn, M. Lanser, O. Rheinbach, "Nonlinear BDDC Methods with Inexact Solvers". Submitted August 2017.  

Technical Reports

(Not submitted elsewhere)

  • A. Klawonn, An optimal Preconditioner for a Class of Saddle Point Problems with a Penalty Term, Part II: General Theory, April 1995, Schriftenreihe Angewandte Mathematik und Informatik, Bericht Nr. 14/95, TR14-95.ps

  • D. Stefanica and A. Klawonn, A Numerical Study of a Class of FETI Preconditioners for Mortar Finite Elements in Two Dimensions, November 1998, Technical Report TR 773, Courant Instiute of Mathematical Sciences, New York University, New York, USA. TR773.ps

  • A. Klawonn, P. Neff, O. Rheinbach, S. Vanis, Notes on FETI-DP Domain Decomposition Methods for P-Elasticity, Fakultät für Mathematik, Universität Duisburg-Essen, 2010. Report.

Dissertation

  • A. Klawonn, Preconditioners for Indefinite Problems , Doctoral Dissertation, Westfälische Wilhelms-Universität Münster, November 1995, appeared as Bericht 8/96-N in Schriftenreihe Angewandte Mathematik und Informatik , Februar 1996.

Habilitation 

  • A. Klawonn, Domain Decomposition Methods: Theoretical and Algorithmic Contributions with Applications in Continuum Mechanics , Habilitationsschrift, Universität zu Köln, June 2000.