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Statements

Subject Item
n2:RIV%2F46747885%3A24510%2F14%3A%230001133%21RIV15-MSM-24510___
rdf:type
n3:Vysledek skos:Concept
rdfs:seeAlso
http://dx.doi.org/10.1063/1.4902463
dcterms:description
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. 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.
dcterms:title
A priori error estimates of the discontinuous Galerkin method for the MEW equation A priori error estimates of the discontinuous Galerkin method for the MEW equation
skos:prefLabel
A priori error estimates of the discontinuous Galerkin method for the MEW equation A priori error estimates of the discontinuous Galerkin method for the MEW equation
skos:notation
RIV/46747885:24510/14:#0001133!RIV15-MSM-24510___
n4:aktivita
n19:S
n4:aktivity
S
n4:dodaniDat
n12:2015
n4:domaciTvurceVysledku
n16:1919032
n4:druhVysledku
n5:D
n4:duvernostUdaju
n14:S
n4:entitaPredkladatele
n22:predkladatel
n4:idSjednocenehoVysledku
1058
n4:idVysledku
RIV/46747885:24510/14:#0001133
n4:jazykVysledku
n21:eng
n4:klicovaSlova
Discontinuous Galerkin method; modified equal width wave equation; semi-implicit linearized scheme; a priori error estimates; solitary wave; experimental order of convergence
n4:klicoveSlovo
n8:experimental%20order%20of%20convergence n8:a%20priori%20error%20estimates n8:semi-implicit%20linearized%20scheme n8:solitary%20wave n8:Discontinuous%20Galerkin%20method n8:modified%20equal%20width%20wave%20equation
n4:kontrolniKodProRIV
[F0A0248F6061]
n4:mistoKonaniAkce
Sozopol, Bulgaria
n4:mistoVydani
Melville, NY, USA
n4:nazevZdroje
APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'14), AIP Conference Proceedings 1631
n4:obor
n20:BA
n4:pocetDomacichTvurcuVysledku
1
n4:pocetTvurcuVysledku
1
n4:rokUplatneniVysledku
n12:2014
n4:tvurceVysledku
Hozman, Jiří
n4:typAkce
n11:WRD
n4:wos
000346058100014
n4:zahajeniAkce
2014-06-08+02:00
s:issn
0094-243X
s:numberOfPages
6
n7:doi
10.1063/1.4902463
n18:hasPublisher
AMER INST PHYSICS
n13:isbn
9780735412705
n10:organizacniJednotka
24510