Stability analysis of magnetohydrostatic equilibrium by the finite element method and Arnoldi and Lanczos eigensolvers

 
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1996 (EN)
Stability analysis of magnetohydrostatic equilibrium by the finite element method and Arnoldi and Lanczos eigensolvers (EN)

Papadopoulos, DT (EN)
Boudouvis, AG (EN)
Chronopoulos, AT (EN)
Siettos, CI (EN)

N/A (EN)

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 (EN)

journalArticle

Arnoldi (EN)
Nonlinear equations (EN)
Stability (EN)
Matrix algebra (EN)
Partial differential equations (EN)
Mathematical transformations (EN)
Lanczos (EN)
Ferromagnetic materials (EN)
Newton iteration (EN)
Finite element method (EN)
Linearized eigenproblem (EN)
Magnetohydrostatic equilibrium (EN)
Computation theory (EN)
Galerkins method (EN)
Problem solving (EN)
Ordinary differential equations (EN)
Eigenvalues and eigenfunctions (EN)
Iterative methods (EN)
Eigenproblems (EN)

Εθνικό Μετσόβιο Πολυτεχνείο (EL)
National Technical University of Athens (EN)

Advances in Engineering Software (EN)

1996


ELSEVIER SCI LTD (EN)



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