A posteriori error estimates of discontinuous Galerkin methods for non-standard Volterra integro-differential equations

Jingtang Ma; Hermann Brunner

doi:10.1093/imanum/dri024

A posteriori error estimates of discontinuous Galerkin methods for non-standard Volterra integro-differential equations

IMA Journal of Numerical Analysis ◽

10.1093/imanum/dri024 ◽

2006 ◽

Vol 26 (1) ◽

pp. 78-95 ◽

Cited By ~ 8

Author(s):

Jingtang Ma ◽

Hermann Brunner

Keyword(s):

Differential Equations ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Galerkin Methods ◽

A Posteriori ◽

A Posteriori Error

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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 ◽

Cited By ~ 6

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 ◽

De Vries

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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 ◽

Cited By ~ 2

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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A posteriori error estimates of adaptive discontinuous Galerkin methods for monotone quasi-linear elliptic problems

2017 5th International Conference on Computer, Automation and Power Electronics (CAPE 2017) ◽

10.25236/cape.2017.003 ◽

2017 ◽

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

A Posteriori Error Estimates ◽

Elliptic Problems ◽

Posteriori Error ◽

Galerkin Methods ◽

A Posteriori ◽

A Posteriori Error

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A posteriori error estimates for discontinuous Galerkin methods of obstacle problems

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2014.08.011 ◽

2015 ◽

Vol 22 ◽

pp. 664-679 ◽

Cited By ~ 16

Author(s):

Fei Wang ◽

Weimin Han ◽

Joseph Eichholz ◽

Xiaoliang Cheng

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Obstacle Problems ◽

Galerkin Methods ◽

A Posteriori ◽

A Posteriori Error

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A posteriori error estimates of discontinuous Galerkin methods for the Signorini problem

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2015.07.008 ◽

2016 ◽

Vol 292 ◽

pp. 257-278 ◽

Cited By ~ 8

Author(s):

Thirupathi Gudi ◽

Kamana Porwal

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Galerkin Methods ◽

A Posteriori ◽

Signorini Problem ◽

A Posteriori Error

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A posteriori error estimates for weak Galerkin methods for second order elliptic problems on polygonal meshes

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.12.005 ◽

2021 ◽

Vol 161 ◽

pp. 510-524

Author(s):

Shipeng Xu

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Elliptic Problems ◽

Posteriori Error ◽

Second Order ◽

Galerkin Methods ◽

A Posteriori ◽

Weak Galerkin ◽

A Posteriori Error ◽

Second Order Elliptic Problems

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Fully discrete a posteriori error estimates for parabolic integro-differential equations using the two-step backward differentiation formula

BIT Numerical Mathematics ◽

10.1007/s10543-021-00866-z ◽

2021 ◽

Author(s):

G. Murali Mohan Reddy

Keyword(s):

Differential Equations ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

Differentiation Formula ◽

A Posteriori Error ◽

Fully Discrete ◽

Backward Differentiation Formula

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Discontinuous Galerkin methods on hp-anisotropic meshes II: a posteriori error analysis and adaptivity

Applied Numerical Mathematics ◽

10.1016/j.apnum.2008.12.008 ◽

2009 ◽

Vol 59 (9) ◽

pp. 2179-2194 ◽

Cited By ~ 24

Author(s):

Emmanuil H. Georgoulis ◽

Edward Hall ◽

Paul Houston

Keyword(s):

Error Analysis ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Posteriori Error ◽

Galerkin Methods ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Anisotropic Meshes ◽

Posteriori Error Analysis

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A posteriori error estimates for continuous/discontinuous Galerkin approximations of the Kirchhoff–Love buckling problem

Computational Mechanics ◽

10.1007/s00466-015-1204-8 ◽

2015 ◽

Vol 56 (5) ◽

pp. 815-827 ◽

Cited By ~ 3

Author(s):

Peter Hansbo ◽

Mats G. Larson

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Galerkin Approximations

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A posteriori error estimates and adaptivity for the discontinuous Galerkin solutions of nonlinear second-order initial-value problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2017.06.001 ◽

2017 ◽

Vol 121 ◽

pp. 18-37 ◽

Cited By ~ 1

Author(s):

Mahboub Baccouch

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Initial Value Problems ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Second Order ◽

A Posteriori ◽

Initial Value ◽

A Posteriori Error

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