List of Publications

Submitted

Samuel Kost, Oliver Rheinbach, and Helmut Schaeben, "Using logistic regression model selection towards interpretable machine learning in mineral prospectivity modeling" (submitted 2021).

Alexander Heinlein, Friederike Röver, Oliver Rheinbach, "Parallel Scalability of Three-Level FROSch Preconditioners to 220000 Cores using the Theta Supercomputer" (submitted 2021).

Matthias Brändel, Dominik Brands, Simon Maike, Oliver Rheinbach, Jörg Schröder, Alexander Schwarz, Dietrich Stoyan, "Effective hyperelastic material parameters from microstructures constructed using the planar Boolean model" (submitted 2021).

Stefan Prüger, Friederike Röver, Stephan Roth, Oliver Rheinbach, and Björn Kiefer, "Variational Settings and Domain Decomposition Based Solution Schemes for a Coupled Deformation-Diffusion Problem" (submitted 2021).

Stephan Köhler, Oliver Rheinbach, and Stefan Sandfeld, “Micromechanics simulations coupling the deal.II software library with a parallel FETI-DP solver”, 2021, Proceedings of the 26th International Domain Decomposition Conference. Accepted for publications in Springer LNCSE. (accepted 2021)

Stephan Köhler, Oliver Rheinbach, "Globalization in Nonlinear FETI-DP Domain Decomposition Methods", 2021, Proceedings of the 26th International Domain Decomposition Conference. Accepted for publications in Springer LNCSE. (accepted 2021)

Some Recent Publications

Kiefer, B., Rheinbach, O., Roth, S. and Röver, F. (2021), Variational Methods and Parallel Solvers in Chemo-Mechanics. Proc. Appl. Math. Mech., 20: e202000272. https://doi.org/10.1002/pamm.202000272

A. Heinlein, O. Rheinbach and F. Röver, Choosing the Subregions in Three-Level FROSch Preconditioners, in: WCCM-ECCOMAS2020. Open Access. https://www.scipedia.com/public/Hainlein_et_al_2021

Samuel Kost, Oliver Rheinbach, and Helmut Schaeben,
"Logistic regression for prospectivity modeling", published in the proceedings of the ENUMATH 2019. Open Access. https://doi.org/10.1007/978-3-030-55874-1_81 Preprint

Stephan Köhler, Oliver Rheinbach, Stefan Sandfeld, Dominik Steinberger, ``FETI-DP Solvers and Deal II for Problems in Dislocation Mechanics'', PAMM, published online: 18 November 2019, https://doi.org/10.1002/pamm.201900292

Kost, S., Rheinbach, O. and Schaeben, H. (2019), "Logistic regression for potential modeling.", Proc. Appl. Math. Mech., 19: e201900039. http://doi.org/10.1002/pamm.201900039.

Alexander Heinlein, Oliver Rheinbach, Friederike Röver, Stefan Sandfeld, Dominik Steinberger, ``Applying the FROSch Overlapping Schwarz Preconditioner to Dislocation Mechanics in Deal II'', PAMM, published online: 18 November 2019 https://doi.org/10.1002/pamm.201900337

Markus Wittmann, Georg Hager, Radim Janalik, Martin Lanser, Axel Klawonn, Oliver Rheinbach, Olaf Schenk, Gerhard Wellein,
``Multicore Performance Engineering of Sparse Triangular Solves Using a Modified Roofline Model in Proceedings of the 30th IEEE International Symposium on Computer'', Architecture and High Performance Computing, pp. 233-241, September 24-27, 2018 (SBAC-PAD 2018), \'{E}cole Normale Sup\'{e}rieure, Lyon, France https://ieeexplore.ieee.org/document/8645938

Klawonn, A., Kühn, M.J., Rheinbach, O., Parallel adaptive FETI-DP using lightweight asynchronous dynamic load balancing, 2019, Internat. J. Numer. Methods Engrg. https://doi.org/10.1002/nme.6237

Alexander Heinlein, Axel Klawonn, Oliver Rheinbach, Friederike Röver, "A Three-Level Extension of the GDSW Overlapping Schwarz Preconditioner in Two Dimensions". In: Apel T., Langer U., Meyer A., Steinbach O. (eds) Advanced Finite Element Methods with Applications. FEM 2017. Lecture Notes in Computational Science and Engineering, vol 128. Springer, Cham https://doi.org/10.1007/978-3-030-14244-5_10

Axel Klawonn, Martin Lanser, Matthias Uran, Oliver Rheinbach, Stephan Köhler, Jörg Schröder, Lisa Scheunemann, Dominik Brands, Daniel Balzani, Ashutosh Gandhi, Gerhard Wellein, Markus Wittmann, Olaf Schenk, Radim Janalík, EXASTEEL: Towards a Virtual Laboratory for the Multiscale Simulation of Dual-Phase Steel Using High-Performance Computing. In: Bungartz HJ., Reiz S., Uekermann B., Neumann P., Nagel W. (eds) Software for Exascale Computing - SPPEXA 2016-2019. Chapter in: Lecture Notes in Computational Science and Engineering, vol 136. Springer, Cham. (2020) https://doi.org/10.1007/978-3-030-47956-5_13 (Open Access)

Artikel (More journal publications)

  1. Axel Klawonn, Martin Lanser, Oliver Rheinbach, Gerhard Wellein, Markus Wittmann, Energy efficiency of nonlinear domain decomposition methods, The International Journal of High Performance Computing Applications. September 2020. Article first published online: September 4, 2020 https://doi.org/10.1177/1094342020953891 Preprint on Researchgate

  2. Klawonn, A., Köhler, S., Lanser, M., Rheinbach, O., Computational homogenization with million-way parallelism using domain decomposition methods, Computation Mechanics, 2019, online first, https://doi.org/10.1007/s00466-019-01749-5 Full text on Researchgate

  3. A Klawonn, M Kühn, O Rheinbach, Coarse spaces for FETI-DP and BDDC Methods for heterogeneous problems: connections of deflation and a generalized transformation-of-basis approach, Electronic Transactions on Numerical Analysis 52, 43-76; http://www.etna.mcs.kent.edu/vol.52.2020/pp43-76.dir/pp43-76.pdf

  4. Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver; Weber, Janine; Preconditioning the coarse problem of BDDC methods -- three-level, algebraic multigrid, and vertex-based preconditioners. Electron. Trans. Numer. Anal. 51 (2019), 432–450. http://etna.math.kent.edu/vol.51.2019/pp432-450.dir/pp432-450.pdf

  5. Klawonn, A.; Kühn, M.; Rheinbach, O., Parallel adaptive FETI-DP using lightweight asynchronous dynamic load balancing, IJNME 2019, https://doi.org/10.1002/nme.6237

  6. Alexander Heinlein, Axel Klawonn, Jascha Knepper, and Oliver Rheinbach, Adaptive GDSW Coarse Spaces for Overlapping Schwarz Methods in Three Dimensions, SIAM J. Sci. Comput., 41(5), A3045–A3072. https://doi.org/10.1137/18M1220613 Preprint on Researchgate

  7. Klawonn, A.; Kühn, M.; Rheinbach, O., Adaptive FETI-DP and BDDC methods with a generalized transformation of basis for heterogeneous problems, Electronic Transactions on Numerical Analysis, vol. 49, 2018, pp. 1-27. https://doi.org/10.1553/etna_vol49s1

  8. Klawonn, A.; Lanser, M., Rheinbach, O., Nonlinear BDDC methods with approximate solvers, Electronic Transactions on Numerical Analysis 49(1), 2018, pp. 244-273. PDF of Full Paper

  9. Heinlein, A; Klawonn, A; Knepper, J; Rheinbach, O; Multiscale coarse spaces for overlapping Schwarz methods based on the ACMS space in 2D, Electronic Transactions on Numerical Analysis 48, 2018, pp. 156-182 PDF of Full Paper TUBAF Preprint 2016-09

  10. Klawonn, A.; Lanser, M., Rheinbach, O.; Uran, M., "Nonlinear FETI-DP and BDDC Methods: A Unified Framework and Parallel Results". SIAM Journal on Scientific Computing 2017 39:6, C417-C451; https://dx.doi.org/10.1137/16M1102495 TUBAF Preprint 12/2016

  11. Alexander Heinlein, Axel Klawonn, Oliver Rheinbach, "A Parallel Implementation of a Two-Level Overlapping Schwarz Method with Energy-Minimizing Coarse Space Based on Trilinos.", SIAM J. Sci. Comput., 38(6), C713–C747. http://dx.doi.org/10.1137/16M1062843 Also TUBAF Preprint 2016-04
      MathSciNet-MR3579700 zbmath

  12. Axel Klawonn, Martin Kühn, Oliver Rheinbach, "Adaptive Coarse Spaces for FETI-DP in Three Dimensions", SIAM J. Sci. Comput. 38 (2016), no. 5, A2880–A2911. http://dx.doi.org/10.1137/15M1049610 Also TUBAF Preprint 2015-11
      MathSciNet-MR3546980 zbmath

  13. Axel Klawonn, Patrick Radtke, Oliver Rheinbach, "A comparison of adaptive coarse spaces for iterative substructuring in two dimensions", Electronic Transactions on Numerical Analysis (ETNA), Volume 45, pp. 76-106, 2016. ETNA PDF Download TUBAF Preprint 2015-05
      MathSciNet-MR3480118 zbmath

  14. Axel Klawonn, Martin Lanser, Oliver Rheinbach, "Toward Extremely Scalable Nonlinear Domain Decomposition Methods for Elliptic Partial Differential Equations". SIAM J. Sci. Comput., 37-6 (2015), pp. C667-C696. Open full paper download http://dx.doi.org/10.1137/140997907 TUBAF Preprint 2014-13
      MathSciNet-MR3432150 zbmath

  15. 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), Volume 32, Issue 10, Oct. 2016; online Dec. 2015. http://dx.doi.org/10.1002/cnm.2756 TUBAF Preprint 2015-03
      MathSciNet-MR3562078 zbmath

  16. 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(0), pp. 116-133, 2015, http://dx.doi.org/10.1016/j.cam.2015.02.053. TUBAF Preprint 2014-08  
      MathSciNet MR3350765 zbmath

  17. Axel Klawonn, Patrick Radtke, Oliver Rheinbach "FETI-DP methods with an adaptive coarse space", SIAM J. Numer. Anal., 53 (1), pp. 297-320, 2015, Open full paper download http://dx.doi.org/10.1137/130939675. TUBAF Preprint 2014-10
      MathSciNet MR3303686 zbmath

  18. Martin Lanser, Axel Klawonn, and Oliver Rheinbach, "Nonlinear FETI-DP and BDDC methods.", SIAM J. Scientific Computing, 36 (2), pp. A311-C239, 2014. Open full paper download. Download at publisher's site:http://dx.doi.org/10.1137/130920563 .
      MathSciNet MR3192644 zbmath

  19. 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), 29 (3) , pp. 332-350, 2013, http://dx.doi.org/10.1002/cnm.2504 . Preprint .
      MathSciNet MR3031817

  20. 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 Diagnostics'', Engineering Computations, Vol. 29 (8), pp. 888-906, 2012. http://dx.doi.org/10.1108/02644401211271645 .

  21. 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., Vol. 50, No. 5, pp. 2208-2236, 2012. http://dx.doi.org/10.1137/110838315 .
      MathSciNet MR3022216 zbmath

  22. Axel Klawonn, Oliver Rheinbach, "Deflation, Projector Preconditioning, and Balancing in Iterative Substructuring Methods: Connections and New Results", SIAM J. Sci. Comput.. Vol. 34, pp. A459-A484 (2012); http://dx.doi.org/10.1137/100811118 .
      MathSciNet MR2890273 zbmath

  23. 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 .
      MathSciNet MR2804651 zbmath

  24. Marta Jarosova, Axel Klawonn, Oliver Rheinbach, "Projector preconditioning and transformation of basis in FETI-DP algorithms for contact problems", Math. Comput. Simulation, Vol. 82, No. 10, pp. 1894-1907, June 2012, available online Dec. 7th, 2010, http://dx.doi.org/10.1016/j.matcom.2010.10.031 .
      MathSciNet MR2967940 zbmath

  25. 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 .
      MathSciNet MR2844393 zbmath

  26. 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 .

  27. Axel Klawonn, Oliver Rheinbach, "Highly scalable parallel domain decomposition 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 . Preprint .
      MathSciNet MR2603676 zbmath

  28. 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 .
      MathSciNet MR2570830 zbmath

  29. 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, Courant Institute TR2007-889.
      MathSciNet MR2421044 zbmath

  30. 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 .
      MathSciNet MR2479280 zbmath

  31. Dominik Brands, Axel Klawonn, Oliver Rheinbach, Jörg Schröder, "Modelling and Convergence in Arterial Wall Simulation Using a Parallel FETI Solution Strategy", Computer Methods in Biomechanics and Biomedical Engineering, Vol. 11, No. 5, pp. 569-583, 2008, http://dx.doi.org/10.1080/10255840801949801 .

  32. Axel Klawonn, Oliver Rheinbach, "Inexact FETI-DP Methods", Internat. J. Numer. Methods Engrg. (IJNME), 69:284-307, Jan. 2007, http://dx.doi.org/10.1002/nme.1758 . Preprint in Schriftenreihe Mathematik, Universität Duisburg-Essen.
      MathSciNet MR2283893 zbmath

  33. 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, Universität Duisburg-Essen.
      MathSciNet MR2277025 zbmath

  34. 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, Universität Duisburg-Essen.
      MathSciNet MR2272193 zbmath

  35. 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 Synchrotron Micro Computer Tomographic Data", Materialwissenschaft und Werkstofftechnik, Vol. 37, No. 6, 2006, http://dx.doi.org/10.1002/mawe.200600021 .


Ausgewählte begutachtete Buchkapitel (Selected peer reviewed chapters in books)

Alexander Heinlein, Axel Klawonn, Oliver Rheinbach, Friederike Röver, "A Three-Level Extension of the GDSW Overlapping Schwarz Preconditioner in Two Dimensions". In: Apel T., Langer U., Meyer A., Steinbach O. (eds) Advanced Finite Element Methods with Applications. FEM 2017. Lecture Notes in Computational Science and Engineering, vol 128. Springer, Cham https://doi.org/10.1007/978-3-030-14244-5_10 Preprint 2018-04

Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver; Uran, Matthias On the accuracy of the inner Newton iteration in nonlinear domain decomposition. Domain decomposition methods in science and engineering XXIV, 435–443, Lect. Notes Comput. Sci. Eng., 125, Springer, Cham, 2018.

Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver Using algebraic multigrid in inexact BDDC domain decomposition methods. Domain decomposition methods in science and engineering XXIV, 425–433, Lect. Notes Comput. Sci. Eng., 125, Springer, Cham, 2018.

Klawonn, Axel; Kühn, Martin; Rheinbach, Oliver Preconditioning of iterative eigenvalue problem solvers in adaptive FETI-DP. Domain decomposition methods in science and engineering XXIV, 415–423, Lect. Notes Comput. Sci. Eng., 125, Springer, Cham, 2018.

Heinlein, Alexander; Klawonn, Axel; Rheinbach, Oliver; Widlund, Olof B. Improving the parallel performance of overlapping Schwarz methods by using a smaller energy minimizing coarse space. Domain decomposition methods in science and engineering XXIV, 383–392, Lect. Notes Comput. Sci. Eng., 125, Springer, Cham, 2018.

Heinlein, Alexander; Klawonn, Axel; Knepper, Jascha; Rheinbach, Oliver An adaptive GDSW coarse space for two-level overlapping Schwarz methods in two dimensions. Domain decomposition methods in science and engineering XXIV, 373–382, Lect. Notes Comput. Sci. Eng., 125, Springer, Cham, 2018.\newline

Klawonn A., Lanser M., Rheinbach O. (2016), "A Highly Scalable Implementation of Inexact Nonlinear FETI-DP Without Sparse Direct Solvers." In: Karasözen B., Manguoğlu M., Tezer-Sezgin M., Göktepe S., Uğur Ö. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2015. Lecture Notes in Computational Science and Engineering, vol 112. Springer, Cham. Also TUBAF Preprint 2015-17

Heinlein, A.; Klawonn, A.; Rheinbach, O., "Parallel Overlapping Schwarz with an Energy-Minimizing Coarse Space" (DD23), pp. 353-360, 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. http://dx.doi.org/10.1007/978-3-319-52389-7_36

Axel Klawonn, Martin Lanser, Balthasar Niehoff, Patrick Radtke, Oliver Rheinbach, "Newton-Krylov-FETI-DP with Adaptive Coarse Spaces" (DD23), pp. 197-205, 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. http://dx.doi.org/10.1007/978-3-319-52389-7_19

Axel Klawonn, Martin Kühn, Oliver Rheinbach, "Adaptive coarse spaces for FETI-DP in three dimensions" (DD23), pp. 293-300, 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. http://dx.doi.org/10.1007/978-3-319-18827-0_28

Axel Klawonn, Martin Lanser, Oliver Rheinbach, Matthias Uran, "New Nonlinear FETI-DP Methods Based on a Partial Nonlinear Elimination of Variables" (DD23), pp. 207-215 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. http://dx.doi.org/10.1007/978-3-319-52389-7_20

Heinlein A., Klawonn A., Rheinbach O. (2016) Parallel Two-Level Overlapping Schwarz Methods in Fluid-Structure Interaction. In: Karasözen B., Manguoğlu M., Tezer-Sezgin M., Göktepe S., Uğur Ö. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2015. Lecture Notes in Computational Science and Engineering, vol 112. Springer, Cham http://dx.doi.org/10.1007/978-3-319-39929-4_50 TUBAF Preprint 2015-15

Allison H. Baker, Axel Klawonn, Tzanio Kolev, Martin Lanser, Oliver Rheinbach, and 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 of Springer Lect. Notes Comput. Sci. and Engrg., pages 113--140, 2016. http://dx.doi.org/10.1007/978-3-319-40528-5_6 TUBAF Preprint 2015-14 Also Lawrence Livermore National Laboratory Report No. LLNL-PROC-679553

D. Balzani, A. Gandhi, A. Klawonn, M. Lanser, O. Rheinbach and 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 of Springer Lect. Notes Comput. Sci. and Engrg., pages 91--112, 2016. http://dx.doi.org/10.1007/978-3-319-40528-5_5 TUBAF Preprint 2015-13

Axel Klawonn, Martin Lanser, and Oliver Rheinbach, "FE2TI: 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. http://dx.doi.org/10.3233/978-1-61499-621-7-797 TUBAF Preprint 2015-12

Axel Klawonn, Patrick Radtke, and Oliver Rheinbach, "Adaptive Coarse Spaces for BDDC with a Transformation of Basis", Proceedings of the 22nd Internat. Conference on Domain Decomposition Methods in Science and Engineering, Lugano, Switzerland, September 2013. Editors: Dickopf, T., Gander, M., Krause, R., Pavarino, L.; Springer Lect. Notes Comput. Sci. Eng., pp. 301-309, 2016. http://dx.doi.org/10.1007/978-3-319-18827-0_29 , Preprint at UoC

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 Intern. Conference on Domain Decomposition Methods in Science and Engineering, Lugano, Switzerland, September 2013. Editors: Dickopf, T., Gander, M., Krause, R., Pavarino, L.; Springer Lect. Notes Comput. Sci. Eng., pp. 293-300, 2016. http://dx.doi.org/10.1007/978-3-319-18827-0_28 , Preprint at UoC

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, pp. 41-52, 2016. http://dx.doi.org/10.1007/978-3-319-18827-0_4, Preprint

Axel Klawonn, Martin Lanser, Oliver Rheinbach, Holger Stengel, Gerhard Wellein, "Hybrid MPI/OpenMP parallelization in FETI-DP methods". Chapter in Recent Trends in Computational Engineering - CE2014 Volume 105 of the series Lecture Notes in Computational Science and Engineering, Miriam Mehl, Manfred Bischoff, and Michael Schäfer (eds), pp. 67-84, 2015. http://dx.doi.org/10.1007/978-3-319-22997-3_4 TUBAF Preprint 2015-02

Roland Herzog and Oliver Rheinbach, "FETI-DP methods for optimal control problems", Domain Decomposition Methods in Science and Engineering XXI, Jocelyne Erhel, Martin J. Gander, Laurence Halpern, Geraldine Pichot, Taoufik Sassi, and Olof B. Widlund (Eds.), Springer-Verlag, Lecture Notes in Computational Science and Engineering, Vol. 98, pp. 387-395, 2014. http://dx.doi.org/10.1007/978-3-319-05789-7_36 Preprint at INRIA

Axel Klawonn, Martin Lanser, Patrick Radtke, and Oliver Rheinbach, "On an Adaptive Coarse Space and on Nonlinear Domain Decomposition", Domain Decomposition Methods in Science and Engineering XXI, Jocelyne Erhel, Martin J. Gander, Laurence Halpern, Geraldine Pichot, Taoufik Sassi, and Olof B. Widlund (Eds.), Springer-Verlag, Lecture Notes in Computational Science and Engineering, Vol. 98, pp. 71-83, 2014. http://dx.doi.org/10.1007/978-3-319-05789-7_6 Preprint at INRIA

Sabrina Gippert, Axel Klawonn, Oliver Rheinbach, "A Deflation Based Coarse Space in Dual-Primal FETI Methods for Almost Incompressible Elasticity", A. Abdulle at al. (eds.). Numerical Mathematics and Advanced Applications - ENUMATH 2013, Lecture Notes in Computational Science and Engineering 103, pp. 573-581, 2014. http://dx.doi.org/10.1007/978-3-319-10705-9_56
zbmath

Dirk Böse, Sarah Brinkhues, Raimund Erbel, Axel Klawonn, Oliver Rheinbach, Jörg Schröder, "A Simultaneous Augmented Lagrange Approach for the Simulation of Soft Biological Tissue", In: Randolph Bank, Michael E. Holst, Olof E. Widlund, Jinchao E Xu (Ed.), Domain Decomposition Methods in Science and Engineering XX, Vol. 91, Lecture Notes in Computational Science and Engineering, Springer Berlin Heidelberg, pp. 369-376, 2013. http://dx.doi.org/10.1007/978-3-642-35275-1_43 or open at ddm.org
  MathSciNet MR3243013

Sabrina Gippert, Axel Klawonn, Oliver Rheinbach, "FETI-DP for elasticity with almost incompressible material components", In Randolph Bank, Michael E. Holst, Olof E. Widlund, Jinchao E Xu (Ed.), Domain Decomposition Methods in Science and Engineering XX, Vol. 91, Lecture Notes in Computational Science and Engineering, Springer Berlin Heidelberg, pp. 353-360, 2013. http://dx.doi.org/10.1007/978-3-642-35275-1_41 or open at ddm.org.
  MathSciNet MR3243011

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. Eng., S. 279-286, 2008, http://dx.doi.org/10.1007/978-3-540-75199-1_32 or open at ddm.org .
  MathSciNet MR2436093 zbmath

Axel Klawonn, Oliver Rheinbach, and Barbara Wohlmuth, "Dual-Primal Iterative Substructuring Methods for Almost Incompressible Elasticity", in David E. Keyes and Olof B. Widlund (Eds.), Domain Decomposition Methods in Science and Engineering, Lect. Notes Comput. Sci. Eng., Vol. 55, pp. 399-406, Jan. 2007, http://dx.doi.org/10.1007/978-3-540-34469-8_49 or open at ddm.org . Preprint in Schriftenreihe Mathematik, Universität Duisburg-Essen.
  MathSciNet MR2334128

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. Eng., Vol. 55, pp.391-398, Jan. 2007, http://dx.doi.org/10.1007/978-3-540-34469-8_48 or open at ddm.org .
  MathSciNet MR2334127

Axel Klawonn, Oliver Rheinbach, and Olof B. Widlund, "Some Computational Results for Dual-Primal FETI Methods for Elliptic Problems in 3D", in R. Kornhuber, R. H. W. Hoppe, D. E. Keyes, J. Periaux, O. Pironneau, and J. Xu (Eds.), Domain Decomposition Methods in Science and Engineering, Lect. Notes Comput. Sci. Eng., Vol. 40, pp.361-368 , Berlin, Springer, 2005, http://dx.doi.org/10.1007/3-540-26825-1_36 or open at ddm.org .
  MathSciNet MR2235762 zbmath


Angenommene Artikel (Accepted journal publications)

(currently empty)

Angenommene Buchbeiträge (Accepted peer reviewed chapters in books)

(currently empty)


Eingereichte Artikel (Submitted journal publications)

Eingereichte begutachtete Buchbeiträge (Submitted peer reviewed chapters in books)

Samuel Kost, Oliver Rheinbach, Helmut Schaeben, "Logistic Regression in Potential Modeling", Submitted 11/2019 to the Proceedings of ENUMATH 2019.


Auswahl weiterer Beiträge in Tagungs- und Sammelbänden, die online verfügbar sind

Some other conference proceedings which are available online

Stephan Köhler, Oliver Rheinbach, Stefan Sandfeld, Dominik Steinberger, "FETI‐DP Solvers and Deal II for Problems in Dislocation Mechanics", PAMM, First published: 18 November 2019, https://doi.org/10.1002/pamm.201900292

Alexander Heinlein, Oliver Rheinbach, Friederike Röver, Stefan Sandfeld, Dominik Steinberger, "Applying the FROSch Overlapping Schwarz Preconditioner to Dislocation Mechanics in Deal II", PAMM, First published: 18 November 2019 https://doi.org/10.1002/pamm.201900337

Axel Klawonn, Martin Kühn, Oliver Rheinbach, "Using Local Spectral Information in Domain Decomposition Methods - A Brief Overview in a Nutshell", PAMM, First published: 25 October 2016 https://doi.org/10.1002/pamm.201610353

Simone Deparis, Davide Forti, Alexander Heinlein, Axel Klawonn, Alfio Quarteroni, and Oliver Rheinbach, "A Comparison of Preconditioners for the Steklov-Poincare Formulation of the Fluid-Structure Coupling in Hemodynamics". PAMM, Volume 15, Issue 1, pp. 93-94, October 2015. Open download: http://dx.doi.org/10.1002/pamm.201510037

Axel Klawonn, Patrick Radtke, Oliver Rheinbach, "FETI-DP with different scalings for adaptive coarse spaces", PAMM, Volume 14, Issue 1, pages 835–836, December 2014. Open download: http://dx.doi.org/10.1002/pamm.201410398

Roland Herzog and Oliver Rheinbach, "Scalability of a FETI-DP Method for Optimal Control Problems", PAMM, Volume 14, Issue 1, pages 837–838, December 2014. Open download: http://dx.doi.org/10.1002/pamm.201410399

Daniel Balzani, Simone Deparis, Simon Fausten, Davide Forti, Alexander Heinlein, Axel Klawonn, Alfio Quarteroni, Oliver Rheinbach, and Jörg Schröder, "Aspects of Arterial Wall Simulations: Nonlinear Anisotropic Material Models and Fluid Structure Interaction", Proceedings of the WCCM XI, 2014. Download at CIMNE . Also Preprint-Reihe der Fakultät für Mathematik der TU Bergakademie Freiberg, ISSN 1433-9407, 2014, number 2014-03. TUBAF Preprint 2014-03 .

Fischle, A., Klawonn, A., Rheinbach, O. and Schröder, J. (2012), Parallel Simulation of Biological Soft Tissue, Proc. Appl. Math. Mech. (PAMM), 12: 767–768. Open download: http://dx.doi.org/10.1002/pamm.201210372 .

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. Open download: http://dx.doi.org/10.1002/pamm.200910020 .

Axel Klawonn, Oliver Rheinbach, "A hybrid approach to 3-level FETI", PAMM, Vol. 8, No. 1, Dec. 2008, pp. 10841-10843, published online: Feb 26 2009 1:06AM. Open download: http://dx.doi.org/10.1002/pamm.200810841 .

Axel Klawonn, Oliver Rheinbach, "FETI-DP for Anisotropic Problems", PAMM, Vol. 8, No. 1, Dec. 2008, pp. 10189-10190, published online: Feb 25 2009 6:11AM. Open download: http://dx.doi.org/10.1002/pamm.200810189 .

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. Open download: http://dx.doi.org/10.1002/pamm.200810169 .

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. Open download: 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. Open download: 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 Congress on Computational Bioengineering, 2007, Isla de Margarita, Venezuela. Download

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Publikationsliste bei Scopus