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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
【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。
【Abstract】 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】 反问题;
椭圆方程;
GPST(广义的脉冲谱技术);
【Key words】 inverse problem; elliptic equation; GPST(generalized pulse-spectrum technique).;
【Key words】 inverse problem; elliptic equation; GPST(generalized pulse-spectrum technique).;
- 【文献出处】 高校应用数学学报A辑(中文版) ,Applied Mathematics A Journal of Chinese Universities , 编辑部邮箱 ,1991年01期
- 【被引频次】2
- 【下载频次】90