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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 26
ADVANCES IN COMPUTATIONAL MECHANICS Edited by: M. Papadrakakis and B.H.V. Topping
Paper VIII.3
Implementation and Performance of Arnoldi and Lanczos Eigensolvers in Galerkin-Finite Element Computations D. Papadopoulos*, C. Siettos*, A.G. Boudouvis* and A.T. Chronopoulos#
*Department of Chemical Engineering, National Technical University of Athens, Athens, Greece
Full Bibliographic Reference for this paper
D. Papadopoulos, C. Siettos, A.G. Boudouvis, A.T. Chronopoulos, "Implementation and Performance of Arnoldi and Lanczos Eigensolvers in Galerkin-Finite Element Computations", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Computational Mechanics", Civil-Comp Press, Edinburgh, UK, pp 253-261, 1994. doi:10.4203/ccp.26.8.3
Abstract
The methods of Arnoldi and Lanczos are implemented
for solving large and sparse eigenvalue problems. Such
problems arise in the computation of stability of
solutions of parameter-dependent, nonlinear partial
differential equations discretized by the Galerkin/finite
element method. Results are presented for the
stability of equilibrium solutions of axisymmetric
ferromagnetic liquid interfaces in external magnetic
field of varying strength.
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