Some estimates for a weighted l2 projection

Jamesh Bramble; Jinchao Xu

doi:10.1090/S0025-5718-1991-1066830-3

Some estimates for a weighted l2 projection

Jamesh Bramble, Jinchao Xu

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192 Scopus citations

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 language	English (US)
Pages (from-to)	463-476
Number of pages	14
Journal	Mathematics of Computation
Volume	56
Issue number	194
DOIs	https://doi.org/10.1090/S0025-5718-1991-1066830-3
State	Published - Apr 1991

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Computational Mathematics
Applied Mathematics

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10.1090/S0025-5718-1991-1066830-3

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title = "Some estimates for a weighted l2 projection",

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.",

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Some estimates for a weighted l2 projection

Abstract

All Science Journal Classification (ASJC) codes

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