二维椭圆方程参数反问题的一种数值解法  

A NUMERICAL ALGORITHM FOR SOLVING THE INVERSE PROBLEMS OF DETERMING THE UNKNOWN COEFFICIENTS IN A TWO-DIMENSIONAL ELLIPTIC EQUATION

作　　者：赵迁贵[1] 

机构地区：[1]中国矿业大学应用数学系,江苏徐州221008

出　　处：《高校应用数学学报（A辑）》1991年第1期87-95,共9页Applied Mathematics A Journal of Chinese Universities(Ser.A)

摘　　要：本文研究了识别二维椭圆型偏微分方程中参数A(x)和B(y)的反问题:的数值解法。用GPST方法给出了数值计算迭代格式,其中对涉及到的第一类Fredholm积分方程的离散线性代数方程组采用ART算法。最后本文给出了数值模拟结果。In this paper, we give an iterative algorithm for solving the invers problems of determing the unknown coefficients A(x),B(y) in the elliptic equationby using the GPST method, and solve linear algebra equations of Fredholm integral equations of the first kind by ART method. Results of numercal experiments are also given.

关 键 词：椭圆型方程 反问题 数值解法 

分 类 号：O241.82[理学—计算数学]