Error estimates for a class of discontinuous Galerkin methods for nonsmooth problems via convex duality relations

Mathematics of Computation ◽

10.1090/mcom/3656 ◽

2021 ◽

pp. 1

Author(s):

Sören Bartels

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Convex Duality ◽

Galerkin Methods ◽

Nonsmooth Problems ◽

Duality Relations

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A Family of Characteristic Discontinuous Galerkin Methods for Transient Advection-Diffusion Equations and Their Optimal-Order L^2 Error Estimates

Communications in Computational Physics ◽

10.4208/cicp.2009.v6.p203 ◽

2009 ◽

pp. 203-230 ◽

Author(s):

Kaixin Wang ◽

Hong Wang ◽

Mohamed Al-Lawatia ◽

Hongxing Rui

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Diffusion Equations ◽

Optimal Order ◽

Galerkin Methods ◽

Advection Diffusion

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Unconditional stability and optimal error estimates of discontinuous Galerkin methods for the second-order wave equation

Applicable Analysis ◽

10.1080/00036811.2019.1636968 ◽

2019 ◽

pp. 1-15 ◽

Author(s):

Limin He ◽

Weimin Han ◽

Fei Wang ◽

Wentao Cai

Keyword(s):

Wave Equation ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Unconditional Stability ◽

Second Order ◽

Optimal Error Estimates ◽

Galerkin Methods ◽

Optimal Error ◽

Second Order Wave Equation

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Pointwise error estimates for discontinuous Galerkin methods with lifting operators for elliptic problems

Mathematics of Computation ◽

10.1090/s0025-5718-06-01823-0 ◽

2006 ◽

Vol 75 (255) ◽

pp. 1067-1086 ◽

Author(s):

Johnny Guzmán

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Galerkin Methods ◽

Pointwise Error ◽

Pointwise Error Estimates

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Optimal error estimates of discontinuous Galerkin methods with generalized fluxes for wave equations on unstructured meshes

Mathematics of Computation ◽

10.1090/mcom/3605 ◽

2020 ◽

pp. 1

Author(s):

Zheng Sun ◽

Yulong Xing

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Wave Equations ◽

Discontinuous Galerkin Methods ◽

Unstructured Meshes ◽

Optimal Error Estimates ◽

Galerkin Methods ◽

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Stability analysis and error estimates of local discontinuous Galerkin methods for convection–diffusion equations on overlapping meshes

BIT Numerical Mathematics ◽

10.1007/s10543-019-00757-4 ◽

2019 ◽

Vol 59 (4) ◽

pp. 853-876 ◽

Author(s):

Jie Du ◽

Yang Yang ◽

Eric Chung

Keyword(s):

Stability Analysis ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Diffusion Equations ◽

Galerkin Methods ◽

Convection Diffusion ◽

Local Discontinuous Galerkin ◽

Local Discontinuous Galerkin Methods

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Error Estimates for the Discontinuous Galerkin Methods for Parabolic Equations

SIAM Journal on Numerical Analysis ◽

10.1137/030602289 ◽

2006 ◽

Vol 44 (1) ◽

pp. 349-366 ◽

Author(s):

K. Chrysafinos ◽

Noel J. Walkington

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Parabolic Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods

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A posteriori error estimates for discontinuous Galerkin methods for the generalized Korteweg-de Vries equation

Mathematics of Computation ◽

10.1090/s0025-5718-2014-02878-0 ◽

2014 ◽

Vol 84 (293) ◽

pp. 1145-1167 ◽

Author(s):

Ohannes Karakashian ◽

Charalambos Makridakis

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Vries Equation ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Galerkin Methods ◽

A Posteriori ◽

A Posteriori Error ◽

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Pointwise Error Estimates of Discontinuous Galerkin Methods with Penalty for Second-Order Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142903421527 ◽

2004 ◽

Vol 42 (3) ◽

pp. 1146-1166 ◽

Author(s):

Zhangxin Chen ◽

Hongsen Chen

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Second Order ◽

Galerkin Methods ◽

Pointwise Error ◽

Pointwise Error Estimates ◽

Second Order Elliptic Problems

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A Posteriori Error Estimates for Local C0 Discontinuous Galerkin Methods for Kirchhoff Plate Bending Problems

Journal of Computational Mathematics ◽

10.4208/jcm.1405-m4409 ◽

2014 ◽

Vol 32 (6) ◽

pp. 665-686 ◽

Author(s):

Yifeng Xu

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Plate Bending ◽

Galerkin Methods ◽

A Posteriori ◽

A Posteriori Error ◽

Bending Problems

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Local error estimates of mixed discontinuous Galerkin methods for elliptic problems

Journal of Numerical Mathematics ◽

10.1515/1569395041172926 ◽

2004 ◽

Vol 12 (1) ◽

pp. 1-21 ◽

Author(s):

H. Chen

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Local Error ◽

Galerkin Methods

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