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Center for Data and Simulation Science

Martin Lanser’s research interests are the development, theoretical analysis, and parallel implementation of efficient numerical methods for the solution of problems from the field of computational science and engineering (CSE). Thereby, his focus lies on strongly heterogeneous and nonlinear solid mechanics problems. To solve these problems efficiently on modern many core architectures with million way parallelism, Martin Lanser works on nonlinear domain decomposition methods, their combination with algebraic multigrid approaches to enhance the scalability and efficiency, and their application in the extremely scalable FE2TI software package - an implementation of a computational homogenization method. Martin Lanser is one of the core developers of FE2TI, which has been selected as a member of the High-Q club.

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Four different simulations performed with FE2TI homogenization software—J2-elasto-plasticity material model incorporated on the microscale.

Selected publications

  1. 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.
  2. 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, 2015. 12p. http://link.springer.com/book/10.1007/978-3-319-18827-0
  3. 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.
  4. Axel Klawonn, Martin Lanser, and Oliver Rheinbach, Toward 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.
  5. 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.
  6. 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.
  7. 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.
  8. Axel Klawonn, Martin Lanser, Oliver Rheinbach, A Highly Scalable Implementation of Inexact Nonlinear FETI-DP without Sparse Direct Solvers. Proceedings of the ENUMATH Conference 2015, Springer Lect. Notes Comput. Sci. Eng., Vol. 112,  Preprint.
  9. Axel Klawonn, Martin Lanser, Oliver Rheinbach, and Matthias Uran. Nonlinear FETI-DP and BDDC Methods: A Unified Framework and Parallel Results, SIAM J. Sci. Comput. 39 (2017), no. 6, C417–C451, submitted November 2016. pdf version