Stability analysis of magnetohydrostatic equilibrium by the finite element method and Arnoldi and Lanczos eigensolvers
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Papadopoulos, DT
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Boudouvis, AG
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Chronopoulos, AT
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Siettos, CI
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The methods of Arnoldi and Lanczos are used 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. Copyright (C) 1996 Civil-Comp Limited and Elsevier Science Limited
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