Analysis and application of the discontinuous Galerkin method to the RLW equation

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10195486" target="_blank" >RIV/00216208:11320/13:10195486 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/46747885:24510/13:#0001000

Výsledek na webu

<a href="http://dx.doi.org/10.1186/1687-2770-2013-116" target="_blank" >http://dx.doi.org/10.1186/1687-2770-2013-116</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1186/1687-2770-2013-116" target="_blank" >10.1186/1687-2770-2013-116</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Analysis and application of the discontinuous Galerkin method to the RLW equation

Popis výsledku v původním jazyce

In this work, our main purpose is to develop of a sufficiently robust, accurate and efficient numerical scheme for the solution of the regularized long wave (RLW) equation, an important partial differential equation with quadratic nonlinearity, describing a large number of physical phenomena. The crucial 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. Furthermore, a suitable linearization preserves a linear algebraic problem at each time level. We present error analysis of the proposed scheme for the case of nonsymmetric discretization of the dispersive term. The appended numericalexperiments confirm theoretical results and investigate the conservative properties of the RLW equation related to mass, momentum and energy. Both procedures illustrate the potency of the scheme consequently.

Název v anglickém jazyce

Analysis and application of the discontinuous Galerkin method to the RLW equation

Popis výsledku anglicky

In this work, our main purpose is to develop of a sufficiently robust, accurate and efficient numerical scheme for the solution of the regularized long wave (RLW) equation, an important partial differential equation with quadratic nonlinearity, describing a large number of physical phenomena. The crucial 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. Furthermore, a suitable linearization preserves a linear algebraic problem at each time level. We present error analysis of the proposed scheme for the case of nonsymmetric discretization of the dispersive term. The appended numericalexperiments confirm theoretical results and investigate the conservative properties of the RLW equation related to mass, momentum and energy. Both procedures illustrate the potency of the scheme consequently.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/EE2.3.09.0155" target="_blank" >EE2.3.09.0155: Vytvoření a rozvoj týmu pro náročné technické výpočty na paralelních počítačích na TU v Liberci</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2013

Kód důvěrnosti údajů

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

Název periodika

Boundary Value Problems [online]

ISSN

1687-2770

e-ISSN

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Svazek periodika

neuveden

Číslo periodika v rámci svazku

116 (7 May 2013)

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

20

Strana od-do

1-20

Kód UT WoS článku

000320662500001

EID výsledku v databázi Scopus

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