期刊
COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 74, 期 1, 页码 74-88出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2016.12.020
关键词
Mapped finite elements; Geometric multigrid method; Parallelization
资金
- European Union's Horizon research and innovation programme under the Marie Sklodowska-Curie Grant [675715]
- DFG priority programme 1679: Dynamic simulation of interconnected solids processes [Jo329/10-2]
- Naval Research Board, DRDO, India [NRB/4003/PG/368]
- Marie Curie Actions (MSCA) [675715] Funding Source: Marie Curie Actions (MSCA)
PARMooN is a program package for the numerical solution of elliptic and parabolic partial differential equations. It inherits the distinct features of its predecessor MooNMD (John and Matthies, 2004): strict decoupling of geometry and finite element spaces, implementation of mapped finite elements as their definition can be found in textbooks, and a geometric multigrid preconditioner with the option to use different finite element spaces on different levels of the multigrid hierarchy. After having presented some thoughts about in-house research codes, this paper focuses on aspects of the parallelization for a distributed memory environment, which is the main novelty of PARMooN. Numerical studies, performed on compute servers, assess the efficiency of the parallelized geometric multigrid preconditioner in comparison with some parallel solvers that are available in the library PETSc. The results of these studies give a first indication whether the cumbersome implementation of the parallelized geometric multigrid method was worthwhile or not. (C) 2016 Elsevier Ltd. All rights reserved.
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