A Numerical Algorithm for Ambrosetti-Prodi Type Operators

math.AP

/ Authors

/ 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.

A Numerical Algorithm for Ambrosetti-Prodi Type Operators

math.AP

/ Authors

J. Cal Neto, C. Tomei

/ 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.