A Discontinuous Galerkin Method for the Wave Equation: A hp-a
Priori Error Estimate

Abdelhamid Zaghdani; M. Ezzat Mohamed; A.I. El-Maghrab

doi:10.3923/jas.2017.81.89

A Discontinuous Galerkin Method for the Wave Equation: A hp-a Priori Error Estimate

Journal of Applied Sciences ◽

10.3923/jas.2017.81.89 ◽

2017 ◽

Vol 17 (2) ◽

pp. 81-89 ◽

Cited By ~ 1

Author(s):

Abdelhamid Zaghdani ◽

M. Ezzat Mohamed ◽

A.I. El-Maghrab

Keyword(s):

Wave Equation ◽

Error Estimate ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

A Priori ◽

A Priori Error Estimate

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An a priori error estimate for the local discontinuous Galerkin method applied to two-dimensional shallow water and morphodynamic flow

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21914 ◽

2014 ◽

Vol 31 (2) ◽

pp. 397-421 ◽

Cited By ~ 2

Author(s):

Chris Mirabito ◽

Clint Dawson ◽

Vadym Aizinger

Keyword(s):

Error Estimate ◽

Galerkin Method ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

A Priori ◽

Local Discontinuous Galerkin Method ◽

Two Dimensional ◽

A Priori Error Estimate ◽

Local Discontinuous Galerkin

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A priori error estimate for the Baumann–Oden version of the discontinuous Galerkin method

Comptes Rendus de l Académie des Sciences - Series I - Mathematics ◽

10.1016/s0764-4442(01)01936-x ◽

2001 ◽

Vol 332 (9) ◽

pp. 851-856 ◽

Cited By ~ 9

Author(s):

Serge Prudhomme ◽

Frédéric Pascal ◽

J.Tinsley Oden ◽

Albert Romkes

Keyword(s):

Error Estimate ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

A Priori ◽

A Priori Error Estimate

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A hp—Discontinuous Galerkin Method for the Time-Dependent Maxwell’s Equation: a priori Error Estimate

10.1063/1.3225428 ◽

2009 ◽

Author(s):

C. Daveau ◽

A. Zaghdani ◽

George Maroulis ◽

Theodore E. Simos

Keyword(s):

Error Estimate ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

A Priori ◽

Time Dependent ◽

Maxwell’S Equation ◽

A Priori Error Estimate ◽

Maxwell's Equation

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A hp-discontinuous Galerkin method for the time-dependent Maxwell’s equation: a priori error estimate

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-008-0153-1 ◽

2008 ◽

Vol 30 (1-2) ◽

pp. 1-8 ◽

Cited By ~ 3

Author(s):

C. Daveau ◽

A. Zaghdani

Keyword(s):

Error Estimate ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

A Priori ◽

Time Dependent ◽

Maxwell’S Equation ◽

A Priori Error Estimate ◽

Maxwell's Equation

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Local discontinuous Galerkin method for distributed‐order time‐fractional diffusion‐wave equation: Application of Laplace transform

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7077 ◽

2020 ◽

Author(s):

Hadi Mohammadi‐Firouzjaei ◽

Hojatollah Adibi ◽

Mehdi Dehghan

Keyword(s):

Wave Equation ◽

Laplace Transform ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Local Discontinuous Galerkin ◽

Distributed Order

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A split formulation of the nearly perfectly matched layer for an acoustic wave equation using the discontinuous Galerkin method

10.1190/segam2014-0141.1 ◽

2014 ◽

Cited By ~ 1

Author(s):

Hyunseo Park* ◽

Jaejoon Lee ◽

Kunwoo Lee ◽

Changsoo Shin

Keyword(s):

Wave Equation ◽

Acoustic Wave ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Perfectly Matched Layer ◽

Acoustic Wave Equation

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Stability analysis and a priori error estimate of explicit Runge-Kutta discontinuous Galerkin methods for correlated random walk with density-dependent turning rates

Science China Mathematics ◽

10.1007/s11425-013-4739-1 ◽

2013 ◽

Vol 56 (12) ◽

pp. 2645-2676 ◽

Cited By ~ 3

Author(s):

JianFang Lu ◽

Chi-Wang Shu ◽

MengPing Zhang

Keyword(s):

Random Walk ◽

Stability Analysis ◽

Error Estimate ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

A Priori ◽

Galerkin Methods ◽

Correlated Random Walk ◽

Density Dependent ◽

A Priori Error Estimate

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Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the fractional diffusion-wave equation

Numerical Algorithms ◽

10.1007/s11075-014-9827-y ◽

2014 ◽

Vol 67 (4) ◽

pp. 845-862 ◽

Cited By ~ 13

Author(s):

Huiya Dai ◽

Leilei Wei ◽

Xindong Zhang

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Numerical Algorithm ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Fully Discrete ◽

Local Discontinuous Galerkin

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An Energy Conserving Local Discontinuous Galerkin Method for a Nonlinear Variational Wave Equation

Communications in Computational Physics ◽

10.4208/cicp.oa-2016-0189 ◽

2018 ◽

Vol 23 (3) ◽

Cited By ~ 1

Author(s):

Nianyu Yi ◽

Hailiang Liu

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin ◽

Energy Conserving ◽

Variational Wave

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Dispersive Behavior of an Energy-Conserving Discontinuous Galerkin Method for the One-Way Wave Equation

Journal of Scientific Computing ◽

10.1007/s10915-018-0846-z ◽

2018 ◽

Vol 79 (1) ◽

pp. 209-226 ◽

Cited By ~ 1

Author(s):

Mark Ainsworth ◽

Guosheng Fu

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Energy Conserving ◽

The One

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