Name
Title | ||
|---|---|---|
Reconstruction of the corrosion boundary for the Laplace equation by using a boundary collocation method |
Abstract | ||
|---|---|---|
In this paper, we consider the identification of a corrosion boundary for the two-dimensional Laplace equation. A boundary collocation method is proposed for determining the unknown portion of the boundary from the Cauchy data on a part of the boundary. Since the resulting matrix equation is badly ill-conditioned, a regularized solution is obtained by employing the Tikhonov regularization technique, while the regularization parameter is provided by the generalized cross-validation criterion. Numerical examples show that the proposed method is reasonable and feasible. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.matcom.2008.11.019 | Mathematics and Computers in Simulation |
Keywords | Field | DocType |
tikhonov regularization technique,boundary collocation method,matrix equation,corrosion boundary,inverse boundary problem,regularization parameter,cauchy data,numerical example,two-dimensional laplace equation,laplace equation,generalized cross-validation criterion,collocation method,tikhonov regularization | Boundary knot method,Boundary value problem,Mathematical optimization,Robin boundary condition,Mathematical analysis,Free boundary problem,Singular boundary method,Cauchy boundary condition,Neumann boundary condition,Mathematics,Mixed boundary condition | Journal |
Volume | Issue | ISSN |
79 | 7 | Mathematics and Computers in Simulation |
Citations | PageRank | References |
1 | 0.40 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Fenglian Yang | 1 | 27 | 3.83 |
| Liang Yan | 2 | 17 | 2.39 |
| T. Wei | 3 | 87 | 18.96 |