A short note on the error estimates of Yuan–Shu discontinuous Galerkin method based on non-polynomial approximation spaces

Journal of Computational Physics ◽

10.1016/j.jcp.2016.05.032 ◽

2016 ◽

Vol 320 ◽

pp. 33-39 ◽

Author(s):

Hyoseon Yang ◽

Jungho Yoon

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Polynomial Approximation ◽

Approximation Spaces

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Discontinuous Galerkin method based on non-polynomial approximation spaces

Journal of Computational Physics ◽

10.1016/j.jcp.2006.02.013 ◽

2006 ◽

Vol 218 (1) ◽

pp. 295-323 ◽

Author(s):

Ling Yuan ◽

Chi-Wang Shu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Polynomial Approximation ◽

Approximation Spaces

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A short note on the accuracy of the discontinuous Galerkin method with reentrant faces

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110448 ◽

2021 ◽

pp. 110448

Author(s):

Will Pazner ◽

Terry Haut

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

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Analysis of a Nonsymmetric Discontinuous Galerkin Method for Elliptic Problems: Stability and Energy Error Estimates

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142902413160 ◽

2004 ◽

Vol 42 (1) ◽

pp. 252-264 ◽

Author(s):

Mats G. Larson ◽

A. Jonas Niklasson

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Elliptic Problems ◽

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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 ◽

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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Interior penalty discontinuous Galerkin method for Maxwell's equations: optimal L2-norm error estimates

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drm038 ◽

2007 ◽

Vol 28 (3) ◽

pp. 440-468 ◽

Author(s):

M. J. Grote ◽

A. Schneebeli ◽

D. Schotzau

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Interior Penalty ◽

L2 Norm ◽

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Residual based error estimates for the space–time discontinuous Galerkin method applied to the compressible flows

Computers & Fluids ◽

10.1016/j.compfluid.2015.05.027 ◽

2015 ◽

Vol 117 ◽

pp. 304-324 ◽

Author(s):

Vít Dolejší ◽

Filip Roskovec ◽

Miloslav Vlasák

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Compressible Flows ◽

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Pointwise Error Estimates and Two-Grid Algorithms of Discontinuous Galerkin Method for Strongly Nonlinear Elliptic Problems

Journal of Scientific Computing ◽

10.1007/s10915-015-0072-x ◽

2015 ◽

Vol 67 (1) ◽

pp. 153-175 ◽

Author(s):

Chunjia Bi ◽

Cheng Wang ◽

Yanping Lin

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Nonlinear Elliptic Problems ◽

Strongly Nonlinear ◽

Nonlinear Elliptic ◽

Pointwise Error ◽

Grid Algorithms ◽

Pointwise Error Estimates

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Optimal Error Estimates of the Discontinuous Galerkin Method with Upwind-Biased Fluxes for 2D Linear Variable Coefficients Hyperbolic Equations

Journal of Scientific Computing ◽

10.1007/s10915-020-01197-x ◽

2020 ◽

Vol 83 (1) ◽

Author(s):

Minghui Liu ◽

Boying Wu ◽

Xiong Meng

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hyperbolic Equations ◽

Variable Coefficients ◽

Optimal Error Estimates ◽

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A posteriori error estimates for discontinuous Galerkin method to the elasticity problem

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22261 ◽

2018 ◽

Vol 34 (4) ◽

pp. 1348-1369 ◽

Author(s):

Thi Hong Cam Luong ◽

Christian Daveau

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Elasticity Problem ◽

A Posteriori ◽

A Posteriori Error

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HP a-priori error estimates for a non-dissipative spectral discontinuous Galerkin method to solve the Maxwell equations in the time domain

Mathematics of Computation ◽

10.1090/s0025-5718-07-01991-6 ◽

2007 ◽

Vol 76 (260) ◽

pp. 1801-1833 ◽

Author(s):

S. Pernet ◽

X. Ferrieres

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Domain ◽

Maxwell Equations ◽

A Priori ◽

A Priori Error Estimates ◽

Priori Error Estimates ◽

The Time Domain

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