Mixed finite element domain decomposition for nonlinear parabolic problems

被引：9

作者：

Kim, MY ^{[1
]}

Park, EJ

Park, J

机构：

[1] Yonsei Univ, Dept Math, Seoul 120749, South Korea

[2] Yonsei Univ, Inst Math Sci, Seoul 120749, South Korea

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2000年 / 40卷 / 8-9期

关键词：

nonlinear parabolic problems; mixed finite elements; error estimate; parallel domain decomposition method;

D O I：

10.1016/S0898-1221(00)85016-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Fully discrete mixed finite element method is considered to approximate the solution of a nonlinear second-order parabolic problem. A massively parallel iterative procedure based on domain decomposition technique is presented to solve resulting nonlinear algebraic equations. Robin type boundary conditions are used to transmit information between subdomains. The convergence of the iteration for each time step is demonstrated. Optimal-order error estimates are also derived. Numerical examples are given. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：1061 / 1070

页数：10

共 21 条

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[Anonymous], 1991, MAT APLIC COMP

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ARNOLD DN, 1985, RAIRO-MATH MODEL NUM, V19, P7

[3]

Bennethum LS, 1997, ESAIM-MATH MODEL NUM, V31, P1

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