A finite element method for computing the bifurcation function for semilinear elliptic BVPs

DOI10.1016/0377-0427(95)00208-1zbMath0926.65114OpenAlexW1976776361MaRDI QIDQ1919518

Michael W. Smiley

Publication date: 30 November 1999

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

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00208-1

zbMATH Keywords

error estimatesfinite element methodreductionsemilinear elliptic boundary value problembifurcation functionalternative problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Bifurcations in context of PDEs (35B32)

Related Items (4)

Approximation of the bifurcation function for elliptic boundary value problems ⋮ Numerical analysis of semilinear elliptic equations with finite spectral interaction ⋮ Positive eigenvectors and simple nonlinear maps ⋮ Fibers and global geometry of functions

Uses Software

• PLTMG
• PITCON

Cites Work

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• On the inversion of some differentiable mappings with singularities between Banach spaces
• Regularity and asymptotic behavior of solutions of nonautonomous differential equations
• An approach to nonlinear programming
• Global attractors and approximate inertial
• Multiplicity results for a semilinear boundary value problem with the nonlinearity crossing higher Eigenvalues
• The Structure of a Nonlinear Elliptic Operator
• Nonlinear Galerkin Methods
• On the Existence of Positive Solutions of Semilinear Elliptic Equations

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