High-order continuous and discontinuous Galerkin methods for wave problems

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.contributor	Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.contributor.author	Giorgiani, Giorgio
dc.contributor.author	Modesto Galende, David
dc.contributor.author	Fernández Méndez, Sonia
dc.contributor.author	Huerta, Antonio
dc.date	2013-12-10
dc.identifier.citation	Giorgiani, G. [et al.]. High-order continuous and discontinuous Galerkin methods for wave problems. "International journal for numerical methods in fluids", 10 Desembre 2013, vol. 73, núm. 10, p. 883-903.
dc.identifier.citation	0271-2091
dc.identifier.citation	10.1002/fld.3828
dc.identifier.uri	http://hdl.handle.net/2117/20885
dc.language.iso	eng
dc.relation	http://onlinelibrary.wiley.com/doi/10.1002/fld.3828/pdf
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subject	Galerkin methods
dc.subject	Discontinuous Galerkin
dc.subject	High-order elements
dc.subject	Scattering
dc.subject	Wave propagation
dc.subject	Mètodes de Galerking
dc.title	High-order continuous and discontinuous Galerkin methods for wave problems
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	hree Galerkin methods—continuous Galerkin, Compact Discontinuous Galerkin, and hybridizable discontinuous Galerkin—are compared in terms of performance and computational efficiency in 2-D scattering problems for low and high-order polynomial approximations. The total number of DOFs and the total runtime are used for this correlation as well as the corresponding precision. The comparison is carried out through various numerical examples. The superior performance of high-order elements is shown. At the same time, similar capabilities are shown for continuous Galerkin and hybridizable discontinuous Galerkin, when high-order elements are adopted, both of them clearly outperforming compact discontinuous Galerkin
dc.description.abstract	Peer Reviewed

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