About: Discontinuous Galerkin method for numerical solution of the regularized long wave equation

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About: Discontinuous Galerkin method for numerical solution of the regularized long wave equation Goto Sponge NotDistinct Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://dx.doi.org/10.1063/1.4766775
Description	In this paper we are concerned with the development of sufficiently robust, accurate and efficient numerical method for the solution of the regularized long wave (RLW) equation, an important nonlinear equation describing a large class of physical phenomena. The main idea is based on the discretization of the RLW equation with the aid of a combination of the discontinuous Galerkin method for the space semi-discretization and the backward difference formula for the time discretization. This proposed scheme seems to be a promising technique due to the high order piecewise polynomial discontinuous approximation and avoiding the time step restriction. The appended numerical experiments investigate the conservative properties of the RLW equation related to mass, momentum and energy, and illustrate the potency of the scheme, consequently. In this paper we are concerned with the development of sufficiently robust, accurate and efficient numerical method for the solution of the regularized long wave (RLW) equation, an important nonlinear equation describing a large class of physical phenomena. The main idea is based on the discretization of the RLW equation with the aid of a combination of the discontinuous Galerkin method for the space semi-discretization and the backward difference formula for the time discretization. This proposed scheme seems to be a promising technique due to the high order piecewise polynomial discontinuous approximation and avoiding the time step restriction. The appended numerical experiments investigate the conservative properties of the RLW equation related to mass, momentum and energy, and illustrate the potency of the scheme, consequently. (en)
Title	Discontinuous Galerkin method for numerical solution of the regularized long wave equation Discontinuous Galerkin method for numerical solution of the regularized long wave equation (en)
skos:prefLabel	Discontinuous Galerkin method for numerical solution of the regularized long wave equation Discontinuous Galerkin method for numerical solution of the regularized long wave equation (en)
skos:notation	RIV/46747885:24510/12:#0000819!RIV13-MSM-24510___
http://linked.open...avai/riv/aktivita	S
http://linked.open...avai/riv/aktivity	S
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Hozman, Jiří
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	Technická univerzita v Liberci / Fakulta přírodovědně-humanitní a pedagogická
http://linked.open...dnocenehoVysledku	131450
http://linked.open...ai/riv/idVysledku	RIV/46747885:24510/12:#0000819
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Discontinuous Galerkin method; regularized long wave equation; backward Euler method; linearization; semi-implicit scheme; solitary wave. (en)
http://linked.open.../riv/klicoveSlovo	linearization Discontinuous Galerkin method backward Euler method regularized long wave equation semi-implicit scheme solitary wave.
http://linked.open...ontrolniKodProRIV	[BF6E807A88D5]
http://linked.open...v/mistoKonaniAkce	Sozopol, Bulgaria
http://linked.open...i/riv/mistoVydani	Melville, NY, USA
http://linked.open...i/riv/nazevZdroje	AIP Conference Proceedings 1497, Applications of Mathematics in Engineering and Economics, AMEE '12
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...UplatneniVysledku	2012
http://linked.open...iv/tvurceVysledku	Hozman, Jiří
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open...ain/vavai/riv/wos	312260000016
http://linked.open.../riv/zahajeniAkce	2012-12-06 (xsd:date)
number of pages	8 (xsd:int)
http://bibframe.org/vocab/doi	10.1063/1.4766775
http://purl.org/ne...btex#hasPublisher	American Institute of Physics
https://schema.org/isbn	978-0-7354-1111-1
http://localhost/t...ganizacniJednotka	24510

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