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  • 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. (en)
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 (en)
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  • 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 (en)
skos:notation
  • RIV/46747885:24510/14:#0001133!RIV15-MSM-24510___
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  • 1058
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  • RIV/46747885:24510/14:#0001133
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  • Discontinuous Galerkin method; modified equal width wave equation; semi-implicit linearized scheme; a priori error estimates; solitary wave; experimental order of convergence (en)
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  • [F0A0248F6061]
http://linked.open...v/mistoKonaniAkce
  • Sozopol, Bulgaria
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  • Melville, NY, USA
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  • APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'14), AIP Conference Proceedings 1631
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  • Hozman, Jiří
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  • 000346058100014
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issn
  • 0094-243X
number of pages
http://bibframe.org/vocab/doi
  • 10.1063/1.4902463
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  • AMER INST PHYSICS
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  • 9780735412705
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  • 24510
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