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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24510%2F12%3A%230000819" target="_blank" >RIV/46747885:24510/12:#0000819 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1063/1.4766775" target="_blank" >http://dx.doi.org/10.1063/1.4766775</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1063/1.4766775" target="_blank" >10.1063/1.4766775</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2012

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

AIP Conference Proceedings 1497, Applications of Mathematics in Engineering and Economics, AMEE '12

ISBN

978-0-7354-1111-1

ISSN

—

e-ISSN

—

Počet stran výsledku

8

Strana od-do

118-125

Název nakladatele

American Institute of Physics

Místo vydání

Melville, NY, USA

Místo konání akce

Sozopol, Bulgaria

Datum konání akce

6. 12. 2012

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

312260000016