各向异性问题的多子域区域分解算法
Multi-subdomain Domain Decomposition Algorithm for Anisotropic Problems
刘何熠 1刘保庆1
作者信息
- 1. 南京财经大学应用数学学院,江苏 南京 210023
- 折叠
摘要
在自然边界归化原理的基础上,构造了一种无界凹角区域上各向异性问题的多子域非重叠区域分解算法,这是两子域的非重叠区域分解法的推广.本文给出了多子域区域分解算法的离散和变分形式,利用等价性理论,通过详细的理论证明说明此算法是收敛的,且与网格参数h无关.
Abstract
Based on the principle of natural boundary naturalization,a multi-subdomain non-overlapping region decomposition algorithm for anisotropy problems on unbounded concave angle regions is constructed,which is a generalization of the non-overlapping region de-composition method of two subdomains.In this paper,the discrete and variational forms of the multi-subdomain region decomposition al-gorithm are given,and the equivalence theory is used to show that the algorithm is convergent and has nothing to do with the grid parame-ter h.
关键词
多子域/非重叠区域分解算法/无界凹角区域/各向异性问题/人工边界Key words
multi-subdomain/non-overlapping domain decomposition algorithm/unbounded concave angle domain/anisotropic prob-lem/artificial boundary引用本文复制引用
基金项目
江苏省高校自然科学研究面上项目(14KJB110007)
江苏省高校"青蓝工程"项目()
出版年
2024
NETL
NSTL
万方数据