A Newton-GMRES Approach for the Analysis of the Postbuckling Behavior of the Solutions of the von Kármán Equations

DOI10.1137/S1064827500376144zbMath1032.74051OpenAlexW2125318452MaRDI QIDQ4442447

Roger Pierre, Kokou B. Dossou

Publication date: 20 January 2004

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1064827500376144

zbMATH Keywords

finite element methodsingular pointsrectangular platebifurcation diagramsmode interactionmode jumpingNewton-GMRES algorithmdiscrete von Kármán problemSchaeffer-Golubitsky theory

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Bifurcation and buckling (74G60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (8)

Buckling of a flush-mounted plate in simple shear flow ⋮ A unilateral contact model with buckling in von Kármán plates ⋮ Buckling and postbuckling analysis of rectangular plates resting on elastic foundations with the use of the spectral method ⋮ The spectral method and numerical continuation algorithm for the von Kármán problem with postbuckling behaviour of solutions ⋮ A time spectral method for solving the nonlinear dynamic equations of a rectangular elastic plate ⋮ A cubic Hermite finite element-continuation method for numerical solutions of the von Kármán equations ⋮ Simultaneous solution of large-scale linear systems and eigenvalue problems with a parallel GMRES method ⋮ Bifurcation detection with the (un)preconditioned GMRES(m)

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