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

The result's identifiers

  • Result code in 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>

  • Result on the web

    <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>

Alternative languages

  • Result language

    angličtina

  • Original language name

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

  • Original language 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 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.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2014

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

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

  • ISBN

    9780735412705

  • ISSN

    0094-243X

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

    93-98

  • Publisher name

    AMER INST PHYSICS

  • Place of publication

    Melville, NY, USA

  • Event location

    Sozopol, Bulgaria

  • Event date

    Jun 8, 2014

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000346058100014