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

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• 作者：Alexandros Markopoulos^a ; ^b ; ¹ ; ^{alexandros.markopoulos@vsb.cz" class="auth_mail" title="E-mail the corresponding author} ; Vaclav Hapla^a ; ¹ ; ^{vaclav.hapla@vsb.cz" class="auth_mail" title="E-mail the corresponding author} ; Martin Cermak^a ; Martin Fusek^a ; ^b
• 关键词：TFETI ; Elastoplasticity ; Parallel mesh ; PERMON ; PermonCube ; FLLOP
• 刊名：Applied Mathematics and Computation
• 出版年：2015
• 出版时间：15 September 2015
• 年：2015
• 卷：267
• 期：Complete
• 页码：698-710
• 全文大小：1132 K

文摘

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.