Two iterative methods for a Cauchy problem of the elliptic equation with variable coefficients in a strip region |
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| Authors: | H W Zhang T Wei |
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| Institution: | 1. School of Mathematics and Statistics, Lanzhou University, Lanzhou city, Gansu Province, 730000, People’s Republic of China
2. School of Mathematics and Statistics, Hexi University, Zhangye city, Gansu Province, 734000, People’s Republic of China
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| Abstract: | We investigate a Cauchy problem for the elliptic equation with variable coefficients. This problem is severely ill-posed in the sense of Hadamard and the regularization techniques are required to stabilize numerical computations. We give two iterative methods to deal with it. Under an a-priori and an a-posteriori selection rule for the regularization parameter, the convergence rates of two algorithms are obtained. Numerical results show that two methods work well. |
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