D 2014

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

HOZMAN, Jiří

Basic information

Original name

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

Authors

HOZMAN, Jiří (203 Czech Republic, guarantor, belonging to the institution)

Edition

Melville, NY, USA, APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'14), AIP Conference Proceedings 1631, p. 93-98, 6 pp. 2014

Publisher

AMER INST PHYSICS

Other information

Language

English

Type of outcome

Proceedings paper

Field of Study

General mathematics

Country of publisher

United States of America

Confidentiality degree

is not subject to a state or trade secret

Publication form

electronic version available online

References:

RIV identification code

RIV/46747885:24510/14:#0001133

Organization

Faculty of Science, Humanities and Education – Technical University of Liberec – Repository

ISBN

978-0-7354-1270-5

ISSN

DOI

UT WoS

000346058100014

Keywords in English

Discontinuous Galerkin method; modified equal width wave equation; semi-implicit linearized scheme; a priori error estimates; solitary wave; experimental order of convergence
Changed: 30/3/2015 13:33, Jiří Hozman

Abstract

V originále

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 physical phenomena. 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 estimates with respect to the space-time grid size are derived and the numerical examples demonstrating the accuracy of the scheme are presented.