Galerkin methods for nonlinear Sobolev equations

Yanping Lin

doi:10.1007/BF02112280

Galerkin methods for nonlinear Sobolev equations

Yanping Lin

Research output: Journal article publication › Journal article › Academic research › peer-review

29 Citations (Scopus)

Abstract

We study Galerkin approximations to the solution of nonlinear Sobolev equations with homogeneous Dirichlet boundary condition in two spatial dimensions and derive optimal L2 error estimates for the continuous Crank - Nicolson and Extrapolated Crank - Nicolson approximations.

Original language	English
Pages (from-to)	54-66
Number of pages	13
Journal	Aequationes Mathematicae
Volume	40
Issue number	1
DOIs	https://doi.org/10.1007/BF02112280
Publication status	Published - 1 Dec 1990
Externally published	Yes

Keywords

AMS (1980) subject classification: Primary 65N15, 65N30

ASJC Scopus subject areas

General Mathematics
Discrete Mathematics and Combinatorics
Applied Mathematics

More information

10.1007/BF02112280

Cite this

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abstract = "We study Galerkin approximations to the solution of nonlinear Sobolev equations with homogeneous Dirichlet boundary condition in two spatial dimensions and derive optimal L2 error estimates for the continuous Crank - Nicolson and Extrapolated Crank - Nicolson approximations.",

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AB - We study Galerkin approximations to the solution of nonlinear Sobolev equations with homogeneous Dirichlet boundary condition in two spatial dimensions and derive optimal L2 error estimates for the continuous Crank - Nicolson and Extrapolated Crank - Nicolson approximations.

KW - AMS (1980) subject classification: Primary 65N15, 65N30

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U2 - 10.1007/BF02112280

DO - 10.1007/BF02112280

M3 - Journal article

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JO - Aequationes Mathematicae

JF - Aequationes Mathematicae

IS - 1

ER -

Galerkin methods for nonlinear Sobolev equations

Abstract

Keywords

ASJC Scopus subject areas

More information

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