摘要
研究位势问题中边界积分方程,通过分部积分变换消除了常规的位势导数边界积分方程中超奇异积分, 从而获得二维位势问题的自然边界积分方程。该积分方程仅含强奇异积分。基于自然边界积分方程的边界元法 比常规边界元法得到更加准确的边界位势导数和内点位势导数。
This paper studies the BIE in the potential problems. A series of transformations are manipulated on the conventional potential derivative BIE in order to eliminate the hyper-singularity. It leads to a new natural BIE in the two-dimensional potential problems. The natural BIE only contains the strongly singular integral. As a result, another boundary element analysis according to the natural BIE can obtain more accurate potential derivatives on the boundary in comparison with the conventional BEM.
出处
《燕山大学学报》
CAS
2004年第2期122-124,140,共4页
Journal of Yanshan University
基金
国家自然科学基金资助项目(No.10272039)。
