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Título:
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An efficient iterative solution method for the Chebyshev collocation of advection-dominated transport problems
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Autores:
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Pinelli, Alfredo ;
Couzy, W. ;
Deville, M. O. ;
Benocci, C.
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Tipo de documento:
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texto impreso
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Editorial:
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Society for Industrial and Applied Mathematics, 1996
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas
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Tipo = Artículo
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Resumen:
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A new Chebyshev collocation algorithm is proposed for the iterative solution of advection-diffusion problems. The main features of the method lie in the original way in which a finite-difference preconditioner is built and in the fact that the solution is collocated on a set of nodes matching the standard Gauss-Lobatto-Chebyshev set only in the case of pure diffusion problems. The key point of the algorithm is the capability of the preconditioner to represent the high-frequency modes when dealing with advection-dominated problems. The basic idea is developed for a one-dimensional case and is extended to two-dimensional problems. A series of numerical experiments is carried out to demonstrate the efficiency of the algorithm. The proposed algorithm can also be used in the context of the incompressible Navier-Stokes equations.
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En línea:
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https://eprints.ucm.es/id/eprint/21923/1/Pinelli11oficial.pdf
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