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

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Galerkin methods
Collocation
Galerkin Method
Elliptic Equations
Boundary value problems
Tensors
Polynomials
Piecewise Polynomials
Elliptic Boundary Value Problems
Jacobi
Weight Function
Rectangle
Tensor Product
Rate of Convergence
Numerical Examples
Approximation

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Computational Mathematics
  • Applied Mathematics

Cite this

A collocation h-1 galerkin method for some elliptic equations. / Nakao, Mitsuhiro.

In: Mathematics of Computation, Vol. 42, No. 166, 1984, p. 417-426.

Research output: Contribution to journalArticle

Nakao, Mitsuhiro. / A collocation h-1 galerkin method for some elliptic equations. In: Mathematics of Computation. 1984 ; Vol. 42, No. 166. pp. 417-426.
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