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 well-posed boundary value problems are solved for the elliptic operator and its adjoint. The convergence proof of this method in a weighted L2 space is included. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)
| Original language | English |
|---|---|
| Pages (from-to) | 46-54 |
| Number of pages | 9 |
| Journal | Mathematische Nachrichten |
| Volume | 272 |
| Issue number | 1 |
| Early online date | 12 Jul 2004 |
| DOIs | |
| Publication status | Published - Aug 2004 |
Keywords
- cauchy problem
- ill-posed
- iterative method