Jin Chaosong. BOUNDARY ELEMENT METHODS AND ERROR ANALYSIS FOR THE SOLUTION OF ELLIPTIC NEUMANN PROBLEM IN R~2[J]. Journal of Civil and Environmental Engineering, 1990, 12(4).
Jin Chaosong. BOUNDARY ELEMENT METHODS AND ERROR ANALYSIS FOR THE SOLUTION OF ELLIPTIC NEUMANN PROBLEM IN R~2[J]. Journal of Civil and Environmental Engineering, 1990, 12(4). DOI: 10.11835/j.issn.1674-4764.1990.04.012.
二维椭圆Neumann问题的边界元解法及其误差分析
摘要
本文对二维椭圆型偏微分方程的Neumann边值问题给出了边界元解法
就一般情形详细地进行了误差分析
并得到了最佳估计。为简明计
以Laplace方程作为讨论的框架。
Abstract
This paper presents boundary element methods for the solution of elliptic partial differential equation with Neumann boundary problem in R~2. Total details of error analysis are given for general condition
and optimal estimates are obtained. For simplicity Laplace's equation is discussed in illustration.