Waveform relaxation of partial differential equations

被引：6

作者：

Jiang, Yao-Lin ^{[1
]}

Miao, Zhen ^{[1
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China

来源：

NUMERICAL ALGORITHMS | 2018年 / 79卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Waveform relaxation; Semi-linear; Energy method; Coupled equations; Parallelism; CONVERGENCE; SYSTEMS; TIME;

D O I：

10.1007/s11075-018-0475-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This short paper concludes a general waveform relaxation (WR) method at the PDE level for semi-linear reaction-diffusion equations. For the case of multiple coupled PDE(s), new Jacobi WR and Gauss-Seidel WR are provided to accelerate the convergence result of classical WR. The convergence conditions are proved based on energy estimate. Numerical experiments are demonstrated with several WR methods in parallel to verify the effectiveness of the general WR method.

引用

页码：1087 / 1106

页数：20

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