An iterative method for the solution of some semilinear elliptic systems with discontinuities |
| |
| Authors: | M. Delgado E. Fernández-Cara |
| |
| Affiliation: | (1) Differential Equations and Numerical Analysis Department, University of Sevilla, C/Tarfia s/n, 41012 Sevilla, Spain |
| |
| Abstract: | We present a general iterative method which can be used, in particular, to find solutions of a kind of semilinear elliptic system with discontinuities. The algorithm is obtained by adapting some ideas which have been previously introduced by C. Moreno and the second author in the framework of a single equation. More precisely, it relies on fixed-point reformulation and exact regularization. A convergence result is proven under quite general assumptions. |
| |
| Keywords: | Partial differential equations with discontinuities Nonlinear elliptic systems Exact regularization Iterative methods |
| 本文献已被 SpringerLink 等数据库收录！ |
