数学季刊 >

2015 , Vol. 30 >Issue 4: 495 - 502

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2015.04.002

热方程紧差分格式重叠型区域分解算法

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  • School of Mathematics and Computing Science, Anqing Teacher’s College
ZHANG Hong-mei(1979-), female, native of Baoji, Shaanxi, a lecturer of Anqing Teacher's College, M.S.D., engages in numerical solution of partial di®erential equations.

收稿日期: 2013-05-22

  网络出版日期: 2020-11-19

基金资助

Supported by the School Youth Foundation Project Funding of Anqing Teacher’s College(KJ201108)；

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Overlapping Domain Decomposition Finite Difference Algorithm for Compact Difference Scheme of the Heat Conduction Equation

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  • School of Mathematics and Computing Science, Anqing Teacher’s College
ZHANG Hong-mei(1979-), female, native of Baoji, Shaanxi, a lecturer of Anqing Teacher's College, M.S.D., engages in numerical solution of partial di®erential equations.

Received date: 2013-05-22

  Online published: 2020-11-19

Supported by

Supported by the School Youth Foundation Project Funding of Anqing Teacher’s College(KJ201108)；

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摘要

In this paper, a modified additive Schwarz finite difference algorithm is applied in the heat conduction equation of the compact difference scheme. The algorithm is on the basis of domain decomposition and the subspace correction. The basic train of thought is the introduction of the units function decomposition and reasonable distribution of the overlap of correction. The residual correction is conducted on each subspace while the computation is completely parallel. The theoretical analysis shows that this method is completely characterized by parallel. 

关键词： heat equation; compact difference scheme; domain decomposition; partition of unity; subspace correction

本文引用格式

张红梅 . 热方程紧差分格式重叠型区域分解算法[J]. 数学季刊, 2015 , 30(4) : 495 -502 . DOI: 10.13371/j.cnki.chin.q.j.m.2015.04.002

Abstract

In this paper, a modified additive Schwarz finite difference algorithm is applied in the heat conduction equation of the compact difference scheme. The algorithm is on the basis of domain decomposition and the subspace correction. The basic train of thought is the introduction of the units function decomposition and reasonable distribution of the overlap of correction. The residual correction is conducted on each subspace while the computation is completely parallel. The theoretical analysis shows that this method is completely characterized by parallel. 

Key words： heat equation; compact difference scheme; domain decomposition; partition of unity; subspace correction

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