A Numerical Algorithm for Ambrosetti-Prodi Type Operators

Details A Numerical Algorithm for Ambrosetti-Prodi Type Operators A Numerical Algorithm for Ambrosetti-Prodi Type Operators

2011-03-31

arxiv.org/abs/1103.6260v1

Mathematics

Analysis of PDEs

9 pages, 12 figures

Scientific paper

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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