A hierarchical preconditioner for the mortar finite element method

Mario A. Casarin, Olof B. Widlund

Research output: Contribution to journalArticle

Abstract

Mortar elements form a family of nonconforming finite element methods that are more flexible than conforming finite elements and are known to be as accurate as their conforming counterparts. A fast iterative method is developed for linear, second order elliptic equations in the plane. Our algorithm is modeled on a hierarchical basis preconditioner previously analyzed and tested, for the conforming case, by Barry Smith and the second author. A complete analysis and results of numerical experiments are given for lower order mortar elements and geometrically conforming decompositions of the region into subregions.

Original languageEnglish (US)
Pages (from-to)75-88
Number of pages14
JournalElectronic Transactions on Numerical Analysis
Volume4
StatePublished - 1996

Keywords

  • Domain decomposition
  • Hierarchical preconditioner
  • Mortar finite element method

ASJC Scopus subject areas

  • Analysis

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