A mountain pass algorithm with projector

DOI10.1016/j.cam.2011.11.011zbMath1245.65075OpenAlexW2053966765MaRDI QIDQ2428117

N. Tacheny, Christophe Troestler

Publication date: 24 April 2012

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.11.011

zbMATH Keywords

minimax algorithmdeformation lemmasemilinear elliptic PDEmountain pass algorithmprojection on a cone

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Variational methods for elliptic systems (35J50)

Related Items (3)

A mountain pass algorithm for quasilinear boundary value problem with \(p\)-Laplacian ⋮ On numerical methods for nonlinear singularly perturbed Schrödinger problems ⋮ A new approach to solving a quasilinear boundary value problem with \(p\)-Laplacian using optimization.

Uses Software

• L-BFGS-B
• L-BFGS

Cites Work

• Unnamed Item
• On the lowest eigenvalue of the Laplacian for the intersection of two domains
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• Solitary waves with prescribed speed on infinite lattices
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• A computer-assisted existence and multiplicity proof for travelling waves in a nonlinearly supported beam
• A Minimax Method for Finding Multiple Critical Points and Its Applications to Semilinear PDEs
• Numerical Variational Methods Applied to Cylinder Buckling
• Algorithm 778: L-BFGS-B
• Action minimizing orbits in then-body problem with simple choreography constraint
• What is the Subdifferential of the Closed Convex Hull of a Function?
• A mountain pass method for the numerical solution of semilinear elliptic problems
• ALGORITHMS AND VISUALIZATION FOR SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS
• A numerical investigation of sign-changing solutions to superlinear elliptic equations on symmetric domains

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