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

Mapping Intimacies ◽

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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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 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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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 New Discontinuous Galerkin Method for 3D Maxwell’s Equation on Non-conforming Grids

Mathematical and Numerical Aspects of Wave Propagation WAVES 2003 ◽

10.1007/978-3-642-55856-6_62 ◽

2003 ◽

pp. 389-394 ◽

Cited By ~ 3

Author(s):

Nicolas Canouet ◽

Loula Fézoui ◽

Serge Piperno

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Maxwell’S Equation ◽

Maxwell's 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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A New Nonsymmetric Discontinuous Galerkin Method for Time Dependent Convection Diffusion Equations

Journal of Scientific Computing ◽

10.1007/s10915-012-9637-0 ◽

2012 ◽

Vol 54 (2-3) ◽

pp. 663-683 ◽

Cited By ~ 6

Author(s):

Jue Yan

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Dependent ◽

Diffusion Equations ◽

Convection Diffusion

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A priori error estimates of an extrapolated space-time discontinuous galerkin method for nonlinear convection-diffusion problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20591 ◽

2010 ◽

Vol 27 (6) ◽

pp. 1456-1482 ◽

Cited By ~ 12

Author(s):

M. Vlasák ◽

V. Dolejší ◽

J. Hájek

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

A Priori ◽

A Priori Error Estimates ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Priori Error Estimates ◽

Diffusion Problems

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Analysis of a Space-Time Hybridizable Discontinuous Galerkin Method for the Advection-Diffusion Problem on Time-Dependent Domains

SIAM Journal on Numerical Analysis ◽

10.1137/18m1202049 ◽

2019 ◽

Vol 57 (4) ◽

pp. 1677-1696 ◽

Cited By ~ 2

Author(s):

K. L. A. Kirk ◽

T. L. Horvath ◽

A. Cesmelioglu ◽

S. Rhebergen

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Diffusion Problem ◽

Space Time ◽

Time Dependent ◽

Hybridizable Discontinuous Galerkin ◽

Advection Diffusion ◽

Hybridizable Discontinuous Galerkin Method

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Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrödinger equation

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.01.004 ◽

2018 ◽

Vol 127 ◽

pp. 164-178 ◽

Cited By ~ 10

Author(s):

Jialin Hong ◽

Lihai Ji ◽

Zhihui Liu

Keyword(s):

Error Estimate ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Schrodinger Equation ◽

Local Discontinuous Galerkin Method ◽

Nonlinear Schrodinger Equation ◽

Optimal Error Estimate ◽

Optimal Error ◽

Local Discontinuous Galerkin

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