Relaxation procedures for an iterative algorithm for solving the Cauchy problem for the Laplace equation
β Scribed by M. Jourhmane; D. Lesnic; N.S. Mera
- Book ID
- 108122619
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 215 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0955-7997
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## Abstract An iterative method for reconstruction of solutions to second order elliptic equations by Cauchy data given on a part of the boundary, is presented. At each iteration step, a series of mixed wellβposed boundary value problems are solved for the elliptic operator and its adjoint. The con
In this paper, the iterative algorithm proposed by Kozlov et al. [Comput. Maths. Math. Phys. 31 (1991) 45] for obtaining approximate solutions to the ill-posed Cauchy problem for the Helmholtz equation is analysed. The technique is then numerically implemented using the boundary element method (BEM)