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Element boundary terms in reduced order models for flow problems: domain decomposition and adaptive coarse mesh hyper-reduction

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10.1016/j.cma.2020.113159
 
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Reyes, RicardoMés informació
Codina, RamonMés informacióMés informacióMés informació
Document typeArticle
Defense date2020-08
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 4.0 International
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 4.0 International
Abstract
In this paper we present a finite-element based reduced order model and, in particular, we consider two aspects related to the introduction of inter-element boundary terms in the formulation. The first is a domain decomposition strategy in which the transmission conditions involve boundary terms to account for non-matching meshes and discontinuous physical properties. The second is a coarse mesh hyper-reduction for which we propose an adaptive refinement driven by an a posteriori error estimator that contains element boundary terms. As the finite element full order model, the reduced order model is based on the Variational Multi-Scale framework, with sub-grid scales defined not only in the element interiors, but also on the inter-element boundaries. We present some examples of application using the incompressible Navier–Stokes equations and the Boussinesq approximation.
CitationReyes, R.; Codina, R. Element boundary terms in reduced order models for flow problems: domain decomposition and adaptive coarse mesh hyper-reduction. "Computer methods in applied mechanics and engineering", Agost 2020, vol. 368, p. 113159:1-113159:27. 
URIhttp://hdl.handle.net/2117/327995
DOI10.1016/j.cma.2020.113159
ISSN0045-7825
Publisher versionhttps://www.sciencedirect.com/science/article/pii/S0045782520303443
Other identifiershttps://www.researchgate.net/publication/337768812_Element_boundary_terms_in_reduced_order_models_for_flow_problems_domain_decomposition_and_adaptive_coarse_mesh_hyper-reduction
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