The method of quasi-reversibility to solve the Cauchy problems for elliptic partial differential equations |
| |
| Authors: | Laurent Bourgeois Eric Lunéville |
| |
| Affiliation: | ENSTA/UMA, 32, Boulevard Victor, 75739 Paris Cedex 15, France |
| |
| Abstract: | We use the method of quasi-reversibility, first introduced in [1], to solve the ill-posed Cauchy problems for an elliptic operator such as P = –Δ. In particular, a non-conforming method is implemented, some a priori error estimates are derived, and a few numerical computations are presented. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
| |
| Keywords: | |
|
|
