Name
Title | ||
|---|---|---|
Two iterative methods for a Cauchy problem of the elliptic equation with variable coefficients in a strip region. |
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. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1007/s11075-013-9719-6 | Numerical Algorithms |
Keywords | Field | DocType |
III-posed problem,Cauchy problem,Elliptic equation with variable coefficients,Iterative method,Convergence estimates | Cauchy problem,Convergence (routing),Mathematical optimization,Mathematical analysis,Iterative method,Regularization (mathematics),Cauchy's convergence test,Elliptic partial differential equation,Hadamard transform,Mathematics,Elliptic curve | Journal |
Volume | Issue | ISSN |
65 | 4 | 1017-1398 |
Citations | PageRank | References |
1 | 0.38 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| H. W. Zhang | 1 | 5 | 2.57 |
| T. Wei | 2 | 87 | 18.96 |