Title | ||
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Massively parallel solution of elastoplasticity problems with tens of millions of unknowns using PermonCube and FLLOP packages |
Abstract | ||
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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. |
Year | DOI | Venue |
---|---|---|
2015 | 10.1016/j.amc.2014.12.097 | Applied Mathematics and Computation |
Keywords | Field | DocType |
TFETI,Elastoplasticity,Parallel mesh,PERMON,PermonCube,FLLOP | FETI,Linear algebra,Mathematical optimization,Nonlinear system,Linear system,Computer science,Massively parallel,Finite element method,Solver,Domain decomposition methods | Journal |
Volume | Issue | ISSN |
267 | C | 0096-3003 |
Citations | PageRank | References |
2 | 0.50 | 11 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Alexandros Markopoulos | 1 | 31 | 7.16 |
Václav Hapla | 2 | 22 | 5.30 |
martin cermak | 3 | 11 | 4.44 |
Martin Fusek | 4 | 2 | 0.50 |