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Título Vademecum-based GFEM (V-GFEM): optimal enrichment for transient problems
Autores CANALES AGUILERA, DIEGO, Leygue, Adrien , Chinesta, Francisco , Gonzalez, David , Cueto, Elias , Feulvarch, Eric , Bergheau, Jean-Michel , Huerta, Antonio
Publicación externa Si
Medio Int. J. Numer. Methods Eng.
Alcance Article
Naturaleza Científica
Cuartil JCR 1
Cuartil SJR 1
Impacto JCR 2.162
Impacto SJR 1.751
Fecha de publicacion 01/11/2016
ISI 000387501700001
DOI 10.1002/nme.5240
Abstract This paper proposes a generalized finite element method based on the use of parametric solutions as enrichment functions. These parametric solutions are precomputed off-line and stored in memory in the form of a computational vademecum so that they can be used on-line with negligible cost. This renders a more efficient computational method than traditional finite element methods at performing simulations of processes. One key issue of the proposed method is the efficient computation of the parametric enrichments. These are computed and efficiently stored in memory by employing proper generalized decompositions. Although the presented method can be broadly applied, it is particularly well suited in manufacturing processes involving localized physics that depend on many parameters, such as welding. After introducing the vademecum-generalized finite element method formulation, we present some numerical examples related to the simulation of thermal models encountered in welding processes. Copyright (c) 2016 John Wiley & Sons, Ltd.
Palabras clave vademecum-based generalized finite element method; generalized finite element method; proper generalized decomposition; transient problem; welding simulation
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