Name
Title | ||
|---|---|---|
A regularization method for a Cauchy problem of Laplace's equation in an annular domain. |
Abstract | ||
|---|---|---|
In this paper, we propose a new regularization method based on a finite-dimensional subspace generated from fundamental solutions for solving a Cauchy problem of Laplace's equation in an annular domain. Based on a conditional stability for the Cauchy problem of Laplace's equation, we obtain a convergence estimate under the suitable choice of a regularization parameter and an a-priori bound assumption on the solution. A numerical example is provided to show the effectiveness of the proposed method from both accuracy and stability. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.matcom.2012.05.009 | Mathematics and Computers in Simulation |
Keywords | Field | DocType |
Convergence analysis,Method of fundamental solutions,Cauchy problem for Laplace equation | Cauchy problem,Mathematical optimization,Green's function for the three-variable Laplace equation,Mathematical analysis,Laplace's equation,Cauchy boundary condition,Cauchy's convergence test,Elliptic partial differential equation,Partial differential equation,Inverse Laplace transform,Mathematics | Journal |
Volume | Issue | ISSN |
82 | 11 | 0378-4754 |
Citations | PageRank | References |
2 | 0.53 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| T. Wei | 1 | 87 | 18.96 |
| Y. G. Chen | 2 | 2 | 0.53 |