二阶椭圆型复方程斜微商问题的有限元解  

FINITE ELEMENT SOLUTIONS OF THE OBLIQUE DERIVATIVE PROBLEM FOR ELLIPTIC COMPLEX EQUATIONS OF SECOND ORDER

作　　者：闻国椿[1] 杨重骏[1] 

机构地区：[1]北京大学数学系,香港科技大学数学系

出　　处：《四川师范大学学报（自然科学版）》1994年第3期20-28,共9页Journal of Sichuan Normal University（Natural Science）

摘　　要：本文用复分析方法处理单连通区域上二阶线性椭圆型复方程非正则斜微商问题的数值解。首先引入与上述边值问题等价的变分问题，然后用有限元方法求出此变分问题的数值解，最后讨论这种数值解的误差估计。类似地可讨论多连通区域的情形，这里所述的方法区别于Ｗ．Ｗｅｎｌａｎｄ（１９７９）的解法。In this paper,the complex function method is used to deal with numerical solutions of the irregular oblique derivative problem for linear elliptic complex equations of second order in a simply connected domain. We first introduce a variational problem, which is equivalent to the above boundary value problem. Then by using the finite element method, we find out the numerical solutions of the variational problem.Finally we discuss some error estimate of the above numerical solutions. Similarly we can discuss the case for a multiply connected domain. Our method as stated in this paper is different from that of professor W. Wendland's (1979).

关 键 词：椭圆型复方程 斜微商问题 有限元解 

分 类 号：O241.82[理学—计算数学]