A Numerical Algorithm for Ambrosetti-Prodi Type Operators
arXiv:1103.6260
Abstract
We consider the numerical solution of the equation - Δu - 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.
arXiv comment9 pages, 12 figures