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Massively parallel solution of elastoplasticity problems with tens of millions of unknowns using PermonCube and FLLOP packages

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  • Markopoulos, Alexandros
  • Hapla, Vaclav
  • Cermak, Martin
  • Fusek, Martin

Abstract

In this paper we are presenting our PermonCube and FLLOP packages, and their use for massively parallel solution of elastoplasticity problems. PermonCube provides simple cubical meshes, partitioned in a non-overlapping manner. By means of finite element method it assembles all linear algebra objects required for solution of the physical problem. Two chosen nonlinear material models are presented, and a solving strategy based on the Newton’s method is briefly discussed. PermonCube uses our FLLOP library as a linear system solver. FLLOP is able to solve problems decomposed in a non-overlapping manner using domain decomposition methods of the FETI type. It extends PETSc (Portable, Extensible Toolkit for Scientific Computation). In the last section, large-scale numerical experiments with problem size up to 60 million of degrees of freedom are presented.

Suggested Citation

  • Markopoulos, Alexandros & Hapla, Vaclav & Cermak, Martin & Fusek, Martin, 2015. "Massively parallel solution of elastoplasticity problems with tens of millions of unknowns using PermonCube and FLLOP packages," Applied Mathematics and Computation, Elsevier, vol. 267(C), pages 698-710.
    • Handle: RePEc:eee:apmaco:v:267:y:2015:i:c:p:698-710
    DOI: 10.1016/j.amc.2014.12.097
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    References listed on IDEAS

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    1. Sysala, Stanislav, 2012. "Application of a modified semismooth Newton method to some elasto-plastic problems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(10), pages 2004-2021.
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