Some estimates for a weighted l2 projection

Jamesh Bramble, Jinchao Xu

Research output: Contribution to journalArticle

163 Citations (Scopus)

Abstract

This paper is devoted to the error estimates for some weighted L projections. Nearly optimal estimates are obtained. These estimates can be applied to the analysis of the usual multigrid method, multilevel preconditioner and domain decomposition method for solving elliptic boundary problems whose coefficients have large jump discontinuities.

Original languageEnglish (US)
Pages (from-to)463-476
Number of pages14
JournalMathematics of Computation
Volume56
Issue number194
DOIs
StatePublished - Apr 1991

Fingerprint

Domain decomposition methods
Projection
Multilevel Preconditioners
Multigrid Method
Domain Decomposition Method
Boundary Problem
Elliptic Problems
Estimate
Error Estimates
Discontinuity
Jump
Coefficient

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Computational Mathematics
  • Applied Mathematics

Cite this

Bramble, Jamesh ; Xu, Jinchao. / Some estimates for a weighted l2 projection. In: Mathematics of Computation. 1991 ; Vol. 56, No. 194. pp. 463-476.
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Some estimates for a weighted l2 projection. / Bramble, Jamesh; Xu, Jinchao.

In: Mathematics of Computation, Vol. 56, No. 194, 04.1991, p. 463-476.

Research output: Contribution to journalArticle

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