About: Reconstruction operators: from finite volumes to discontinuous Galerkin

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://kmd.fp.tul.cz/sna/sna-sbornik2012-final_OPR.pdf
Description	In this work we use the methodology of higher order finite volume (FV) and spectral volume (SV) schemes to introduce a reconstruction operator into the discontinuous Galerkin (DG) method. This operator constructs higher order piecewise polynomial reconstructions from the lower order DG scheme. This allows us to increase the accuracy of existing DG schemes with a problem- independent reconstruction procedure. Unlike the FVM, the reconstruction stencil has minimal size independent of the approximation order. Such a procedure was proposed already in [1] based on heuristic arguments, however we provide a more rigorous derivation, which justifies the increased order of accuracy. Furthermore, we provide an alternative construction of the reconstruction procedure based on the SV method. Numerical experiments are carried out. In this work we use the methodology of higher order finite volume (FV) and spectral volume (SV) schemes to introduce a reconstruction operator into the discontinuous Galerkin (DG) method. This operator constructs higher order piecewise polynomial reconstructions from the lower order DG scheme. This allows us to increase the accuracy of existing DG schemes with a problem- independent reconstruction procedure. Unlike the FVM, the reconstruction stencil has minimal size independent of the approximation order. Such a procedure was proposed already in [1] based on heuristic arguments, however we provide a more rigorous derivation, which justifies the increased order of accuracy. Furthermore, we provide an alternative construction of the reconstruction procedure based on the SV method. Numerical experiments are carried out. (en)
Title	Reconstruction operators: from finite volumes to discontinuous Galerkin Reconstruction operators: from finite volumes to discontinuous Galerkin (en)
skos:prefLabel	Reconstruction operators: from finite volumes to discontinuous Galerkin Reconstruction operators: from finite volumes to discontinuous Galerkin (en)
skos:notation	RIV/00216208:11320/12:10129897!RIV13-GA0-11320___
http://linked.open...avai/predkladatel	Matematicko-fyzikální fakulta
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GPP201/11/P414)
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Kučera, Václav
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	164422
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/12:10129897
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	discontinuous Galerkin method; finite volume method; reconstruction operators (en)
http://linked.open.../riv/klicoveSlovo	discontinuous Galerkin method finite volume method reconstruction operators
http://linked.open...ontrolniKodProRIV	[0FA48715F3D7]
http://linked.open...v/mistoKonaniAkce	Liberec
http://linked.open...i/riv/mistoVydani	Liberec
http://linked.open...i/riv/nazevZdroje	SNA'12, Seminar on Numerical Analysis
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Higher order methods based on reconstruction for the solution of conservation laws
http://linked.open...UplatneniVysledku	2012
http://linked.open...iv/tvurceVysledku	Kučera, Václav
http://linked.open...vavai/riv/typAkce	EUR - Evropská
http://linked.open.../riv/zahajeniAkce	2012-01-23 (xsd:date)
number of pages	4 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Technická univerzita v Liberci
https://schema.org/isbn	978-80-7372-821-2
http://localhost/t...ganizacniJednotka	11320
is http://linked.open...avai/riv/vysledek of	Reconstruction operators: from finite volumes to discontinuous Galerkin

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