Constrained Mountain Pass Algorithm for the Numerical Solution of Semilinear Elliptic Problems

Jiří Horák ()
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Jiří Horák: University of Basel, Department of Mathematics

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 449-458 from Springer

Abstract: Summary A new numerical algorithm for solving semilinear elliptic problems is presented. A variational formulation is used and critical points of a C 1-functional subject to a constraint given by a level set of another C 1-functional (or an intersection of such level sets of finitely many functionals) are sought. First, constrained local minima are looked for, then constrained mountain pass points. The approach is based on the mountain pass theorem in a constrained setting.

Keywords: Weak Solution; Steep Descent Method; Mountain Pass; Mountain Pass Theorem; Exponential Nonlinearity (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_42

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DOI: 10.1007/978-3-642-18775-9_42

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