A collocation h-1 galerkin method for some elliptic equations

Mitsuhiro Nakao

doi:10.1090/S0025-5718-1984-0736444-7

A collocation h-1 galerkin method for some elliptic equations

Mitsuhiro Nakao^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	417-426
Number of pages	10
Journal	Mathematics of Computation
Volume	42
Issue number	166
DOIs	https://doi.org/10.1090/S0025-5718-1984-0736444-7
Publication status	Published - 1984
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory
Computational Mathematics
Applied Mathematics

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10.1090/S0025-5718-1984-0736444-7

Cite this

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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.",

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AB - 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.

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ER -

A collocation h-1 galerkin method for some elliptic equations

Abstract

ASJC Scopus subject areas

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