Bifurcation detection using the lanczos method and imbedded subspaces

DOI10.1016/0899-8248(91)90016-NzbMath0753.65085MaRDI QIDQ3971843

E. Barragy, Graham F. Carey

Publication date: 25 June 1992

Published in: IMPACT of Computing in Science and Engineering (Search for Journal in Brave)

zbMATH Keywords

finite elementsiterative methodbifurcationsnonlinear eigenvalue problemmultigrid methodsrefinementpseudo-arclength continuationNumerical resultsLanczos procedureJacobian evaluationimbedded subspaceNewton corrector iterationpreconditioned bi-conjugate gradients

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Bifurcations in context of PDEs (35B32)

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