eXtended hybridizable discontinuous Galerkin (X-HDG) for void and bimaterial problems

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/102044

dc.contributor	Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.contributor	Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.contributor.author	Gurkan, Ceren
dc.contributor.author	Sala Lardies, Esther
dc.contributor.author	Kronbichler, Martin
dc.contributor.author	Fernández Méndez, Sonia
dc.date	2016
dc.identifier.citation	Gurkan, C., Sala-Lardies, E., Kronbichler, M., Fernandez, S. eXtended hybridizable discontinuous Galerkin (X-HDG) for void and bimaterial problems. A: "Advances in discretization methods. Discontinuities, virtual elements, fictitious domain methods". Berlín: Springer, 2016, p. 103-122.
dc.identifier.citation	978-3-319-41246-7
dc.identifier.citation	10.1007/978-3-319-41246-7
dc.identifier.uri	http://hdl.handle.net/2117/102044
dc.language.iso	eng
dc.publisher	Springer
dc.relation	https://link.springer.com/book/10.1007%2F978-3-319-41246-7
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica::Equacions funcionals
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
dc.subject	Difference equations
dc.subject	Fluid dynamics (Mathematics)
dc.subject	A strategy for the Hybridizable Discontinuous Galerkin (HDG) solution of problems with voids
dc.subject	inclusions
dc.subject	free surfaces
dc.subject	and material interfaces is proposed. It is based on an eXtended Finite Element (X-FEM) philosophy with a level-set description of interfaces where the computational mesh is not required to fit the interface (i.e. the boundary). This reduces the cost of mesh generation and
dc.subject	in particular
dc.subject	avoids continuous remeshing for evolving interfaces. Differently to previous proposals for the HDG solution with unfitting meshes
dc.subject	the computational mesh covers the domain in our approach
dc.subject	avoiding extrapolations and ensuring the robustness of the method. The local problem in elements not cut by the interface and the global problem are discretized as usual in HDG. A modified local problem is considered for elements cut by the interface. At every cut element
dc.subject	an auxiliary trace variable on the boundary is introduced
dc.subject	which is eliminated afterwards using interface conditions
dc.subject	keeping the original unknowns ...
dc.subject	Equacions en diferències
dc.subject	Mecànica de fluids
dc.subject	Classificació AMS::65 Numerical analysis::65Q05 Difference and functional equations, recurrence relations
dc.subject	Classificació AMS::76 Fluid mechanics::76M Basic methods in fluid mechanics
dc.title	eXtended hybridizable discontinuous Galerkin (X-HDG) for void and bimaterial problems
dc.type	info:eu-repo/semantics/submittedVersion
dc.type	info:eu-repo/semantics/bookPart
dc.description.abstract	This volume of the SEMA SIMAI Springer Series brings together selected contributions presented at the international conference “eXtended Discretization MethodS” (X-DMS), held during September 2015 in Ferrara, Italy. The conference was one of the thematic conferences supported by the European Community in Computational Methods in Applied Sciences (ECCOMAS) and also one of the special interest conferences sponsored by the International Association for Computational Mechanics (IACM). Twelve minisymposia, more than one hundred oral presentations, and plenary lectures given by eminent personalities in the computational mechanics research field contributed to the scientific value of the event
dc.description.abstract	Peer Reviewed

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