An Arnoldi-based iterative scheme for nonsymmetric matrix pencils arising in finite element stability problems

DOI10.1016/0021-9991(92)90315-PzbMath0759.65070MaRDI QIDQ1195466

Ramesh Natarajan

Publication date: 8 November 1992

Published in: Journal of Computational Physics (Search for Journal in Brave)

zbMATH Keywords

algorithmseigenvaluefinite elementeigenvectorsOrr-Sommerfeld equationeigenpairsArnoldi iterationsubspace iterationchemical reactor equationunsymmetric Lanczos procedure

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Estimates of eigenvalues in context of PDEs (35P15) 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)

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Cites Work

• An algorithm for the computation of Hopf bifurcation points in comparison with other methods
• Complex shift and invert strategies for real matrices
• An efficient method for computing leading eigenvalues and eigenvectors of large asymmetric matrices
• A generalized nonsymmetric Lanczos procedure
• Numerical solution of large nonsymmetric eigenvalue problems
• A finite-element study of the onset of vortex shedding in flow past variously shaped bodies
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