Preconditioning the solution of the time-dependent neutron diffusion equation by recycling Krylov subspaces |
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Authors: | S. González-Pintor G. Verdú |
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Affiliation: | 1. Instituto de Seguridad Industrial, Radiofísica y Medioambiental, València, Spain;2. Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera, 14, 46021 València, Spain |
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Abstract: | Spectral preconditioners are based on the fact that the convergence rate of the Krylov subspace methods is improved if the eigenvalues of the smallest magnitude of the system matrix are ‘removed’. In this paper, two preconditioning strategies are studied to solve a set of linear systems associated with the numerical integration of the time-dependent neutron diffusion equation. Both strategies can be implemented using the matrix–vector product as the main operation and succeed at reducing the total number of iterations needed to solve the set of systems. |
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Keywords: | iterative methods matrix-free preconditioners Krylov subspace recycling neutron diffusion equation time integration |
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