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A comparison of solvers for quadratic eigenvalue problems from combustion
Author(s) -
Sensiau C.,
Nicoud F.,
van Gijzen M.,
van Leeuwen J. W.
Publication year - 2008
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1691
Subject(s) - subspace topology , discretization , eigenvalues and eigenvectors , mathematics , finite element method , dimension (graph theory) , krylov subspace , quadratic equation , polygon mesh , iterative method , mathematical optimization , sensitivity (control systems) , domain (mathematical analysis) , computer science , mathematical analysis , geometry , physics , engineering , combinatorics , quantum mechanics , electronic engineering , thermodynamics
Abstract Two iterative subspace methods (Arnoldi and Jacobi–Davidson) are compared for solving typical quadratic eigenvalue problems arising when studying combustion instabilities. An academic, representative test case is presented with associated analytical solution. The efficiency of the iterative methods is studied in terms of running time when 1–10 eigenpairs are sought for, the computational domain being discretized with 500–32 000‐node finite element meshes. The sensitivity of the methods to the dimension of the search subspace is also investigated. Copyright © 2007 John Wiley & Sons, Ltd.