一类变分问题的Galerkin解法  

Galerkin Solution to a Variational Problem

作　　者：张守贵[1] 

机构地区：[1]重庆师范大学数学与计算机科学学院,重庆400047

出　　处：《西华大学学报（自然科学版）》2006年第3期75-75,89,共2页Journal of Xihua University:Natural Science Edition

摘　　要：运用Galerkin方法求解数学物理方程,可方便地进行理论分析。文章把一类变分问题转化为等价的Galerkin变分方程,同时运用Lax Milgram定理证明变分问题解的适定性,并给出Galerkin方法的求解过程和一般公式。The Galerkin solution is an important approach to the equation of mathematical physics. This method can change the problem into equivalent formulation. At the same time Lax-Milgram theorem is used to prove the well-posedness of variational problem and the computation formulation of the problem is presented.

关 键 词：GALERKIN解法 变分原理 适定性 

分 类 号：O241.82[理学—计算数学]