Solving nonlinear eigenvalue problems by using \(p\)-version of FEM

DOI10.1016/S0898-1221(03)90080-0zbMath1049.65125MaRDI QIDQ1827207

Yanyan Li

Publication date: 6 August 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

numerical resultsfinite element methodnonlinear eigenvalue problemseigenfunction\(p\)-version FEMNonlinear PDE

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)

Computing the first eigenpair of the \(p\)-Laplacian via inverse iteration of sublinear supersolutions ⋮ Approximation of the first eigenpair of the \(p\)-Laplace operator using web-spline based finite element method ⋮ The inverse power method for the \(p(x)\)-Laplacian problem ⋮ Approximation of the first eigenpair of the \(p(x)\)-Laplacian using WEB-spline based mesh-free method

Cites Work

• Analyse numérique du champ magnetique d'un alternateur par éléments finis et sur-relaxation ponctuelle non linéaire
• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
• Numerical approximation of the first eigenpair of thep-laplacian using finite elements and the penalty method
• On certain second order ordinary differential equations associated with Sobolev-Poincaré-type inequalities
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