摘要
本文论证了偏微分方程初-边值混合问题的加权残值方程的充要性条件和有关定理。关于充要性条件的讨论也为正确选择解析函数作为权函数,建立充要的加权残值方程提供了理论指导。重点讨论了边界积分方程的充要性。指出了两种满足充要条件的权函数和相应的边界积分方程。
In this paper, the necessary and sufficient condition for the method of weighted residuals about mixed initial-boundary value problem of partial differential equations are presented. The discussion about necessary and sufficient condition provides the theoretical foundation to select weighted functions for necessary and sufficient weighted residual aquation. We also discuss the necessary and sufficient condition for the boundary integral equation. The two kinds of weighted functions and the corresponding boundary integral equations with necessary and sufficient condition are presented.In this paper, the necessary and sufficient condition for the method of weighted residuals about mixed initial-boundary value problem of partial differential equations are presented. The discussion about necessary and sufficient condition provides the theoretical foundation to select weighted functions for necessary and sufficient weighted residual aquation. We also discuss the necessary and sufficient condition for the boundary integral equation. The two kinds of weighted functions and the corresponding boundary integral equations with necessary and sufficient condition are presented.
出处
《力学学报》
EI
CSCD
北大核心
1991年第3期332-338,共7页
Chinese Journal of Theoretical and Applied Mechanics
基金
地震科学联合基金(89159)
关键词
加权残值法
充要条件
权函数
weighted residual equation, necessary and sufficient condition, selection of weighted function, boundary integral equation, mixed inital-boundary value problemw
