Back to Search
Start Over
An improved non-local boundary value problem method for a cauchy problem of the Laplace equation.
- Source :
- Numerical Algorithms; Feb2012, Vol. 59 Issue 2, p249-269, 21p
- Publication Year :
- 2012
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10171398
- Volume :
- 59
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Numerical Algorithms
- Publication Type :
- Academic Journal
- Accession number :
- 70119964
- Full Text :
- https://doi.org/10.1007/s11075-011-9487-0