A collocation h-1 galerkin method for some elliptic equations

Mitsuhiro Nakao

Research output: Contribution to journalArticle

Abstract

A collocation H-1 Galerkin method is defined for some elliptic boundary value problems on a rectangle. The method uses tensor products of discontinuous piecewise polynomial spaces and collocation based on Jacobi points with weight function c2 (l-x)2. Optimal order of L2 rates of convergence is established for the approximation solution. A numerical example which confirms these results is presented.

Original languageEnglish
Pages (from-to)417-426
Number of pages10
JournalMathematics of Computation
Volume42
Issue number166
DOIs
Publication statusPublished - 1984
Externally publishedYes

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Computational Mathematics
  • Applied Mathematics

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