A Numerical Algorithm for Ambrosetti–Prodi Type Operators

José Teixeira Cal Neto () and Carlos Tomei ()
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José Teixeira Cal Neto: UNIRIO, DME
Carlos Tomei: PUC-Rio, Departamento de Matemática

A chapter in The Courant–Friedrichs–Lewy (CFL) Condition, 2013, pp 65-74 from Springer

Abstract: Abstract We consider the numerical solution of the equation −Δu−f(u)=g, for the unknown u satisfying Dirichlet conditions in a bounded domain Ω. The nonlinearity f has bounded, continuous derivative. The algorithm uses the finite element method combined with a global Lyapunov–Schmidt decomposition.

Keywords: Semilinear elliptic equations; Finite element method; Lyapunov–Schmidt decomposition (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-8394-8_5

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DOI: 10.1007/978-0-8176-8394-8_5

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