Abstract

PurposeThe purpose of this paper is to solve non‐linear parametric thermal models defined in degenerated geometries, such as plate and shell geometries.Design/methodology/approachThe work presented in this paper is based in a combination of the proper generalized decomposition (PGD) that proceeds to a separated representation of the involved fields and advanced non‐linear solvers. A particular emphasis is put on the asymptotic numerical method.FindingsThe authors demonstrate that this approach is valid for computing the solution of challenging thermal models and parametric models.Originality/valueThis is the first time that PGD is combined with advanced non‐linear solvers in the context of non‐linear transient parametric thermal models.

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