A frequency-domain parallel method for the numerical approximation of parabolic problems

被引：8
|
作者：
Lee, CO
Lee, J
Sheen, D [1 ]
Yeom, Y
机构：
[1] Seoul Natl Univ, Dept Math, Seoul 151742, South Korea
[2] Inha Univ, Dept Math, Inchon 402751, South Korea
[3] Kwangwoon Univ, Dept Math, Seoul 139701, South Korea
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1999年 / 169卷 / 1-2期
关键词：
D O I：
10.1016/S0045-7825(98)00168-6
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A naturally parallelizable numerical method is introduced and analyzed for parabolic partial differential equations. Instead of solving the problem in the space-time formulation, we propose to solve it in the space-frequency formulation. Existence and uniqueness are given. Error estimates are given for each single frequency. Also given is a full estimate for errors coming from truncation, numerical quadrature rule in Fourier inversion and finite element discretization in the space-frequency domain. A numerical experiment on a parallel MIMD machine is also given. (C) 1999 Elsevier Science S.A. All rights reserved.
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页码：19 / 29
页数：11
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