Frequency filtering for elliptic interface problems with Lagrange multipliers

B. N. Khoromskij*, G. E. Mazurkevich, Gabriel Wittum

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

The solution of the saddle point interface problem arising in hybrid formulation with the Lagrange multipliers for elliptic problems with nonmatching grids is considered. The preconditioner is constructed using frequency filtering decompositions of the local Schur complements. The convergence rate of the resulting iterative process does not depend on the size of the interface problem. The approach is applied for the treatment of the local refinement procedures and considered as an alternative to the refinement with slave nodes or full closure of the grid. Numerical experiments on the convergence rate are presented.

Original languageEnglish (US)
Pages (from-to)421-440
Number of pages20
JournalUnknown Journal
Volume21
Issue number2
DOIs
StatePublished - Jan 1 1999

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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