Laplace方程边值问题的边界积分方程法

数学季刊 ›› 2003, Vol. 18 ›› Issue (4): 429-434.

Laplace方程边值问题的边界积分方程法

Department of Mathematics ,Jiaozuo Teacher ’s College ,Jiaoz uo 454001,China）

收稿日期:2003-07-22 出版日期:2003-12-30 发布日期:2024-04-03
作者简介:SUN Jian-she（1965－）,male ,native of Wuzhi ,Henan ,a lecturer of Jiaozuo Teacher ’s College ,engages in teaching and studying of backgroud mathematics；YE Liu-qing（1965－）,male ,native of Runan ,Henan ,an associate professor of Jiaozuo Teacher s College ,engages in nonlinear programming .
基金资助:
Supported by the Natural Science Foundation Educational Committee of Henan Province（2000110004）

A Boundary Integral Equation Approach for Boundary Problem of Laplace Equation

Department of Mathematics ,Jiaozuo Teacher ’s College ,Jiaoz uo 454001,China）

Received:2003-07-22 Online:2003-12-30 Published:2024-04-03
About author:SUN Jian-she（1965－）,male ,native of Wuzhi ,Henan ,a lecturer of Jiaozuo Teacher ’s College ,engages in teaching and studying of backgroud mathematics；YE Liu-qing（1965－）,male ,native of Runan ,Henan ,an associate professor of Jiaozuo Teacher s College ,engages in nonlinear programming .
Supported by:
Supported by the Natural Science Foundation Educational Committee of Henan Province（2000110004）

摘要/Abstract

摘要： Using the second Green formula ,the boundary problem of Laplace equation satisfied by po- tential function of static electric field is transformed to the problem of the boundary integral equation , and then a boundary integral equation approach is established by partitioning boundary using linear boundary element .

关键词: Laplace equation, boundary problem, static electric field, linear boundary element .

Abstract: Using the second Green formula ,the boundary problem of Laplace equation satisfied by po- tential function of static electric field is transformed to the problem of the boundary integral equation , and then a boundary integral equation approach is established by partitioning boundary using linear boundary element .

Key words: Laplace equation, boundary problem, static electric field, linear boundary element .

中图分类号:

O175．8

孙建设, 叶留青. Laplace方程边值问题的边界积分方程法[J]. 数学季刊, 2003, 18(4): 429-434.

SUN Jian-she , YE Liu-qing . A Boundary Integral Equation Approach for Boundary Problem of Laplace Equation[J]. Chinese Quarterly Journal of Mathematics, 2003, 18(4): 429-434.

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