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Article Dans Une Revue International Journal for Numerical Methods in Engineering Année : 2016

Vademecum ‐based GFEM (V‐GFEM): optimal enrichment for transient problems


Summary 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.
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Dates et versions

hal-04325669 , version 1 (23-05-2024)



Diego Canales, Adrien Leygue, Francisco Chinesta, David González, Elías Cueto, et al.. Vademecum ‐based GFEM (V‐GFEM): optimal enrichment for transient problems. International Journal for Numerical Methods in Engineering, 2016, 108 (9), pp.971-989. ⟨10.1002/nme.5240⟩. ⟨hal-04325669⟩
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