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

Research output: Contribution to journalArticle

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 1 2012

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Generalized Finite Element Method
Linear Elasticity
Poisson equation
Preconditioner
Elasticity
Finite element method
Finite Element
Poisson's equation
Discretization
Scalar

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Applied Mathematics

Cite this

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title = "An auxiliary space preconditioner for linear elasticity based on the generalized finite element method",
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.",
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An auxiliary space preconditioner for linear elasticity based on the generalized finite element method. / Brannick, James Joseph; Cho, Durkbin.

In: Numerical Linear Algebra with Applications, Vol. 19, No. 3, 01.05.2012, p. 471-484.

Research output: Contribution to journalArticle

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