Galerkin methods for nonlinear parabolic integrodifferential equations with nonlinear boundary conditions

Yanping Lin

doi:10.1137/0727037

Galerkin methods for nonlinear parabolic integrodifferential equations with nonlinear boundary conditions

Yanping Lin

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

35 Citations (Scopus)

Abstract

Galerkin methods are analyzed for a nonlinear parabolic integrodifferential equation subject to a specified nonlinear boundary condition and the usual initial condition. Optimal-order error estimates are derived in L2(Ω) norm for the continuous, Crack-Nicolson, and modified Crack-Nicolson Galerkin approximations. As usual, the latter will yield a system of linear algebraic equations to be solved at each level.

Original language	English
Pages (from-to)	608-621
Number of pages	14
Journal	SIAM Journal on Numerical Analysis
Volume	27
Issue number	3
DOIs	https://doi.org/10.1137/0727037
Publication status	Published - 1 Jan 1990
Externally published	Yes

ASJC Scopus subject areas

Numerical Analysis

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10.1137/0727037

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abstract = "Galerkin methods are analyzed for a nonlinear parabolic integrodifferential equation subject to a specified nonlinear boundary condition and the usual initial condition. Optimal-order error estimates are derived in L2(Ω) norm for the continuous, Crack-Nicolson, and modified Crack-Nicolson Galerkin approximations. As usual, the latter will yield a system of linear algebraic equations to be solved at each level.",

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N2 - Galerkin methods are analyzed for a nonlinear parabolic integrodifferential equation subject to a specified nonlinear boundary condition and the usual initial condition. Optimal-order error estimates are derived in L2(Ω) norm for the continuous, Crack-Nicolson, and modified Crack-Nicolson Galerkin approximations. As usual, the latter will yield a system of linear algebraic equations to be solved at each level.

AB - Galerkin methods are analyzed for a nonlinear parabolic integrodifferential equation subject to a specified nonlinear boundary condition and the usual initial condition. Optimal-order error estimates are derived in L2(Ω) norm for the continuous, Crack-Nicolson, and modified Crack-Nicolson Galerkin approximations. As usual, the latter will yield a system of linear algebraic equations to be solved at each level.

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U2 - 10.1137/0727037

DO - 10.1137/0727037

M3 - Journal article

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EP - 621

JO - SIAM Journal on Numerical Analysis

JF - SIAM Journal on Numerical Analysis

IS - 3

ER -

Galerkin methods for nonlinear parabolic integrodifferential equations with nonlinear boundary conditions

Abstract

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