A Numerical Algorithm for Ambrosetti-Prodi Type Operators
Analysis of PDEs
2011-04-01 v1 Numerical Analysis
Abstract
We consider the numerical solution of the equation - \Delta u - f(u) = g, for the unknown u satisfying Dirichlet conditions in a bounded domain. The nonlinearity f has bounded, continuous derivative. The algorithm uses the finite element method combined with a global Lyapunov-Schmidt decomposition.
Cite
@article{arxiv.1103.6260,
title = {A Numerical Algorithm for Ambrosetti-Prodi Type Operators},
author = {J. Cal Neto and C. Tomei},
journal= {arXiv preprint arXiv:1103.6260},
year = {2011}
}
Comments
9 pages, 12 figures