Descripción
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An adaptive low dimensional model is considered to simulate time dependent dynamics in nonlinear dissipative systems governed by partial differential equations. The method combines ?on the fly? a standard numerical solver and a much more computationally inexpensive Galerkin system. The latter is constructed by projecting the governing equations onto adapting sets of POD modes, resulting from snapshots computed by the numerical solver. The strategy is based on a truncation error estimate and a residual estimate, designed to control the truncation error and the mode truncation instability, respectively. These estimates support the selection of the appropriate time intervals in which the numerical solver is run to first construct and then update, on demand, the POD modes. Furthermore, in order to reduce the computational effort needed at the outset to generate the initial POD subspace, some mode libraries are taken into account. Such libraries may either be generic (e.g., constructed from orthogonal polynomials) or result from different, former simulations. | |
Internacional
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Si |
Nombre congreso
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Workshop on numerical techniques for computation speedup |
Tipo de participación
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960 |
Lugar del congreso
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Biarritz, Francia |
Revisores
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Si |
ISBN o ISSN
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00000000 |
DOI
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Fecha inicio congreso
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02/02/2015 |
Fecha fin congreso
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04/02/2015 |
Desde la página
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1 |
Hasta la página
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1 |
Título de las actas
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Actas del workshop on numerical techniques for computation speedup |