The approximate component mode synthesis special finite element method in two dimensions: Parallel implementation and numerical results

A. Heinlein, U. Hetmaniuk, A. Klawonn, O. Rheinbach

Research output: Contribution to journalArticleScientificpeer-review

9 Citations (Scopus)

Abstract

Abstract A special finite element method based on approximate component mode synthesis (ACMS) was introduced in Hetmaniuk and Lehoucq (2010). ACMS was developed for second order elliptic partial differential equations with rough or highly varying coefficients. Here, a parallel implementation of ACMS is presented and parallel scalability issues are discussed for representative examples. Additionally, a parallel domain decomposition preconditioner (FETI-DP) is applied to solve the ACMS finite element system. Weak parallel scalability results for ACMS are presented for up to 1024 cores. Our numerical results also suggest a quadratic-logarithmic condition number bound for the preconditioned FETI-DP method applied to ACMS discretizations.

Original languageEnglish
Article number10049
Pages (from-to)116-133
Number of pages18
JournalJournal of Computational and Applied Mathematics
Volume289
DOIs
Publication statusPublished - 2015
Externally publishedYes

Keywords

  • Component mode synthesis
  • Domain decomposition
  • Eigendecomposition
  • FETI-DP
  • Finite elements
  • Multiscale

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