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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
#Department of Computer Science, University of Minnesota, Minneapolis, United States of America

doi:10.4203/ccp.26.8.3

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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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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	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 #Department of Computer Science, University of Minnesota, Minneapolis, United States of America doi:10.4203/ccp.26.8.3 purchase the full-text of this paper 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. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £70 +P&P)
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