An auxiliary space preconditioner for linear elasticity based on the generalized finite element method

James Brannick, Durkbin Cho

Research output: Contribution to journalArticlepeer-review

Abstract

We construct and analyze a preconditioner of the linear elasticity system discretized by conforming linear finite elements in the framework of the auxiliary space method. The auxiliary space preconditioner is based on two auxiliary spaces corresponding to discretizations of the scalar Poisson equation by linear finite elements and the generalized finite element method.

Original languageEnglish (US)
Pages (from-to)471-484
Number of pages14
JournalNumerical Linear Algebra with Applications
Volume19
Issue number3
DOIs
StatePublished - May 2012

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Applied Mathematics

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