文献类型：期刊文献

英文题名：A Splitting Collocation Method for Elliptic Interface Problems

作者：Zhu, Hancan[1];Liang, Kewei[2];He, Guanghua[3];Ying, Jun[4]

机构：[1]Shaoxing Univ, Sch Math Phys & Informat, Shaoxing 312000, Zhejiang, Peoples R China;[2]Zhejiang Univ, Sch Math Sci, Hangzhou 310028, Zhejiang, Peoples R China;[3]Zhejiang Yuexiu Univ Foreign Languages, Sch Int Business, Shaoxing 312000, Zhejiang, Peoples R China;[4]Shanghai Normal Univ, Coll Informat Mech & Elect Engn, Shanghai 200234, Peoples R China

年份：2018

卷号：11

期号：3

起止页码：491

外文期刊名：NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS

收录：SCI-EXPANDED(收录号：WOS:000438883300005)、、Scopus(收录号：2-s2.0-85072071067)、WOS

基金：We are grateful to the referees for a careful reading and suggestions that brought a substantial improvement. This work is supported by the National Natural Science Foundation of China (Grant No. 61602307 and No. 11471253).

语种：英文

外文关键词：Non-overlapping domain decomposition; elliptic interface problem; moving collocation method

外文摘要：An effective method is proposed for interface problems by combining the domain decomposition method and the collocation method. The main idea is to split the whole domain into two non-overlapped sub-domains and enforce the interface conditions to obtain two sub-problems. Each sub-problem is solved by the collocation method. And a simple iterative algorithm is presented to achieve the jump conditions at the interface. The method provided can be used to solve interface problems with both linear and a special type of non-linear jump conditions. Numerical experiments reveal that our method is fourth-order accurate for interface problems.