A priori error estimates of the discontinuous Galerkin method for the MEW equation

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24510%2F14%3A%230001133" target="_blank" >RIV/46747885:24510/14:#0001133 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1063/1.4902463" target="_blank" >http://dx.doi.org/10.1063/1.4902463</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1063/1.4902463" target="_blank" >10.1063/1.4902463</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A priori error estimates of the discontinuous Galerkin method for the MEW equation

Popis výsledku v původním jazyce

The subject matter is a priori error estimates of the discontinuous Galerkin (DG) method applied to the discretization of the modified equal width wave (MEW) equation, an important equation with a cubic nonlinearity describing a large number of physicalphenomena. We recall the numerical scheme, where the discretization is carried out with respect to space variables with the aid of method of lines at first, and then the time coordinate is treated by the backward Euler method. Furthermore, a suitable linearization preserves a linear algebraic problem at each time level. The attention is paid to the error analysis of the DG method with nonsymmetric stabilization of dispersive term and with the interior and boundary penalty. The asymptotic error estimateswith respect to the space-time grid size are derived and the numerical examples demonstrating the accuracy of the scheme are presented.

Název v anglickém jazyce

A priori error estimates of the discontinuous Galerkin method for the MEW equation

Popis výsledku anglicky

The subject matter is a priori error estimates of the discontinuous Galerkin (DG) method applied to the discretization of the modified equal width wave (MEW) equation, an important equation with a cubic nonlinearity describing a large number of physicalphenomena. We recall the numerical scheme, where the discretization is carried out with respect to space variables with the aid of method of lines at first, and then the time coordinate is treated by the backward Euler method. Furthermore, a suitable linearization preserves a linear algebraic problem at each time level. The attention is paid to the error analysis of the DG method with nonsymmetric stabilization of dispersive term and with the interior and boundary penalty. The asymptotic error estimateswith respect to the space-time grid size are derived and the numerical examples demonstrating the accuracy of the scheme are presented.

Druh

D - Stať ve sborníku

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2014

Kód důvěrnosti údajů

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

Název statě ve sborníku

APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'14), AIP Conference Proceedings 1631

ISBN

9780735412705

ISSN

0094-243X

e-ISSN

—

Počet stran výsledku

6

Strana od-do

93-98

Název nakladatele

AMER INST PHYSICS

Místo vydání

Melville, NY, USA

Místo konání akce

Sozopol, Bulgaria

Datum konání akce

8. 6. 2014

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000346058100014