Name
Title | ||
|---|---|---|
An improved non-local boundary value problem method for a cauchy problem of the Laplace equation |
Abstract | ||
|---|---|---|
In this paper, we propose an improved non-local boundary value problem method to solve a Cauchy problem for the Laplace equation. It is known that the Cauchy problem for the Laplace equation is severely ill-posed, i.e., the solution does not depend continuously on the given Cauchy data. Convergence estimates for the regularized solutions are obtained under a-priori bound assumptions for the exact solution. Some numerical results are given to show the effectiveness of the proposed method. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1007/s11075-011-9487-0 | Numerical Algorithms |
Keywords | Field | DocType |
Ill-posed problem,Cauchy problem,Laplace equation,Regularization method,Convergence estimate | Cauchy problem,Mathematical optimization,Mathematical analysis,Laplace's equation,Cauchy boundary condition,Cauchy's convergence test,Elliptic partial differential equation,Cauchy principal value,Mathematics,Hyperbolic partial differential equation,Elliptic boundary value problem | Journal |
Volume | Issue | ISSN |
59 | 2 | 1017-1398 |
Citations | PageRank | References |
2 | 0.63 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| H. W. Zhang | 1 | 5 | 2.57 |
| T. Wei | 2 | 87 | 18.96 |