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arXiv · 1103.6260

A Numerical Algorithm for Ambrosetti-Prodi Type Operators

J. Cal Neto·C. Tomei
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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.

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J. Cal Neto, C. Tomei. 2011-03-31. A Numerical Algorithm for Ambrosetti-Prodi Type Operators. https://arxiv.org/abs/1103.6260

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