Simulation of a nonlinear Steklov eigenvalue problem using finite-element approximation

DOI10.1007/s10598-010-9058-6zbMath1197.65179OpenAlexW2137182582MaRDI QIDQ1956456

Manoj Kumar, Prashant Kumar

Publication date: 22 September 2010

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

Full work available at URL: https://doi.org/10.1007/s10598-010-9058-6

zbMATH Keywords

numerical examplesfinite-element method\texttt{Matlab}nonlinear Steklov eigenvalue problem

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (4)

Finite element analysis of the two-competing-species Keller-Segel chemotaxis model ⋮ Numerical simulation of singularly perturbed non-linear elliptic boundary value problems using finite element method ⋮ Numerical studies of the Steklov eigenvalue problem via conformal mappings ⋮ Spectral indicator method for a non-selfadjoint Steklov eigenvalue problem

Uses Software

• Matlab

Cites Work

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• A discontinuous Steklov problem with an application to water waves
• A finite element solution of an added mass formulation for coupled fluid-solid vibrations
• Inequalities for membrane and Stekloff eigenvalues
• On a fourth order Steklov eigenvalue problem
• Vibrations of a pendulum consisting of a bob suspended from a wire: the method of integral equations
• Isoparametric finite-element approximation of a Steklov eigenvalue problem
• Some Isoperimetric Inequalities for Harmonic Functions

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