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Publications

  1. 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.  PDF Download at publisher PDF Preprint.
  2. 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.
  3. 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.
  4. 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.2756.  PDF Preprint.
  5. Alexander Heinlein, Axel Klawonn, and Oliver 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.
  6. Alexander Heinlein, Axel Klawonn, and 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.
  7. Alexander Heinlein, Axel Klawonn, and Oliver 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.

Accepted for publication 

 

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. Alexander Heinlein, Axel Klawonn, Oliver Rheinbach, and 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.
  3. Alexander Heinlein, Axel Klawonn, Jascha Knepper, and 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.
  4. Daniel Balzani, Simon Fausten, Alexander Heinlein, Axel Klawonn, Oliver Rheinbach, and Jörg Schröder. “Steps Towards More Realistic FSI Simulations of Coronary Arteries”. Submitted to PAMM, May 2017.

Dissertation

  • Alexander Heinlein. "Parallel Overlapping Schwarz Preconditioners and Multiscale Discretizations with Applications to Fluid-Structure Interaction and Highly Heterogeneous Problems", Dissertation, Universität zu Köln, June 2016.  Download.