基于边界元方法的边值问题数值解的外推

journal6 ›› 2005, Vol. 26 ›› Issue (2): 5-8.

基于边界元方法的边值问题数值解的外推

（湖南师范大学数学与计算机科学学院，湖南长沙 410081）

出版日期:2005-04-15 发布日期:2012-09-22
作者简介:刘经洪(1969-)，男，湖南省张家界市人，湖南师范大学数学与计算机科学学院讲师，博士，主要从事有限元超收敛理论与应用研究
基金资助:
国家自然科学基金资助项目(10371038)

Extrapolation for Numerical Solutions of Boundary Value Problems Based on Boundary Element Methods

(School of Mathematics and Computer Science,Hunan Normal University,Changsha 410081,China)

Online:2005-04-15 Published:2012-09-22

摘要/Abstract

摘要：利用边界元方法求解椭圆边值问题，并通过Poisson积分方程的Galerkin 解讨论了这种方程的外推算法，进而对边值问题的数值解获得了Ｏ（ｈ３）精度的外推结果.

关键词： 外推, 边界元方法, Poisson 积分方程, Galerkin解

Abstract: This paper solves elliptic boundary value problems by boundary element methods and mainly studies an extrapolation method for Poisson integral equation by means of Galerkin solution of this equation.Furthermore,for numerical solutions of boundary value problems,extrapolation results with O（h3） accuracy are obtained.

Key words: extrapolation, boundary element methods, Poisson integral equation, Galerkin solution

刘经洪, 朱起定. 基于边界元方法的边值问题数值解的外推[J]. journal6, 2005, 26(2): 5-8.

LIU Jing-Hong, ZHU Qi-Ding. Extrapolation for Numerical Solutions of Boundary Value Problems Based on Boundary Element Methods[J]. journal6, 2005, 26(2): 5-8.

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