Mesh independent superlinear convergence estimates of the conjugate gradient method for some equivalent self-adjoint operators

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Abstract

A mesh independent bound is given for the superlinear convergence of the CGM for preconditioned self-adjoint linear elliptic problems using suitable equivalent operators. The results rely on K-condition numbers and related estimates for compact Hilbert-Schmidt operators in Hilbert space.

Original languageEnglish
Pages (from-to)277-290
Number of pages14
JournalApplications of Mathematics
Volume50
Issue number3
DOIs
Publication statusPublished - Jun 1 2005

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Keywords

  • conjugate gradient method
  • mesh independence
  • preconditioning operator
  • superlinear convergence

ASJC Scopus subject areas

  • Applied Mathematics

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