Galerkin methods for a semilinear parabolic problem with nonlocal boundary conditions

被引：39

作者：

Fairweather, G

LopezMarcos, JC

机构：

[1] COLORADO SCH MINES,DEPT MATH & COMP SCI,GOLDEN,CO 80401

[2] UNIV VALLADOLID,FAC CIENCIAS,DEPT MATEMAT APLICADA & COMPUTAC,VALLADOLID,SPAIN

来源：

ADVANCES IN COMPUTATIONAL MATHEMATICS | 1996年 / 6卷 / 3-4期

关键词：

semilinear parabolic problem; nonlocal boundary conditions; finite element Galerkin method; Crank-Nicolson method; extrapolated Crank-Nicolson method; optimal error estimates;

D O I：

10.1007/BF02127706

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We formulate and analyze a Crank-Nicolson finite element Galerkin method and an algebraically-linear extrapolated Crank-Nicolson method for the numerical solution of a semilinear parabolic problem with nonlocal boundary conditions. For each method, optimal error estimates are derived in the maximum norm.

引用

页码：243 / 262

页数：20

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