A posteriori error analysis of hp-version discontinuous Galerkin finite-element methods for second-order quasi-linear elliptic PDEs

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drm009 ◽

2007 ◽

Vol 28 (2) ◽

pp. 245-273 ◽

Author(s):

P. Houston ◽

E. Suli ◽

T. P. Wihler

Keyword(s):

Finite Element ◽

Posteriori Error ◽

Elliptic Pdes ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Galerkin Finite Element Methods ◽

Posteriori Error Analysis

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A priori and a posteriori error analysis for the mixed discontinuous Galerkin finite element approximations of the biharmonic problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22090 ◽

2016 ◽

Vol 33 (1) ◽

pp. 318-353 ◽

Author(s):

Chunguang Xiong ◽

Roland Becker ◽

Fusheng Luo ◽

Xiuling Ma

Keyword(s):

A Priori ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Galerkin Finite Element ◽

Finite Element Approximations ◽

Discontinuous Galerkin Finite Element ◽

Posteriori Error Analysis ◽

Biharmonic Problems

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A priori and a posteriori error control of discontinuous Galerkin finite element methods for the von Kármán equations

IMA Journal of Numerical Analysis ◽

10.1093/imanum/dry003 ◽

2018 ◽

Author(s):

Carsten Carstensen ◽

Gouranga Mallik ◽

Neela Nataraj

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Error Control ◽

A Priori ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Galerkin Finite Element Methods

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A synthesis of a posteriori error estimation techniques for conforming, non-conforming and discontinuous Galerkin finite element methods

Recent Advances in Adaptive Computation - Contemporary Mathematics ◽

10.1090/conm/383/07154 ◽

2005 ◽

pp. 1-14 ◽

Author(s):

Mark Ainsworth

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Error Estimation ◽

Posteriori Error ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Galerkin Finite Element Methods

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Discontinuous Galerkin Finite Element Methods for Interface Problems: A Priori and A Posteriori Error Estimations

SIAM Journal on Numerical Analysis ◽

10.1137/100805133 ◽

2011 ◽

Vol 49 (5) ◽

pp. 1761-1787 ◽

Author(s):

Zhiqiang Cai ◽

Xiu Ye ◽

Shun Zhang

Keyword(s):

Finite Element ◽

A Priori ◽

Posteriori Error ◽

Interface Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Galerkin Finite Element Methods ◽

Error Estimations

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A posteriori error analysis for a continuous space-time finite element method for a hyperbolic integro-differential equation

BIT Numerical Mathematics ◽

10.1007/s10543-013-0424-6 ◽

2013 ◽

Vol 53 (3) ◽

pp. 689-716 ◽

Author(s):

Fardin Saedpanah

Keyword(s):

Differential Equation ◽

Finite Element Method ◽

Finite Element ◽

Error Analysis ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Continuous Space ◽

Posteriori Error Analysis

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A Posteriori Error Analysis in the Finite Element Method

finite element methods ◽

10.1201/b16924-39 ◽

2016 ◽

pp. 417-426 ◽

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Analysis ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

The Finite Element Method ◽

A Posteriori Error ◽

Posteriori Error Analysis ◽

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Balancing Discretization and Iteration Error in Finite Element A Posteriori Error Analysis

Computational Methods in Applied Sciences - Numerical Methods for Differential Equations, Optimization, and Technological Problems ◽

10.1007/978-94-007-5288-7_6 ◽

2013 ◽

pp. 109-132

Author(s):

Rolf Rannacher ◽

Jevgeni Vihharev

Keyword(s):

Finite Element ◽

Error Analysis ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Posteriori Error Analysis

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A Posteriori Error Analysis and Adaptive Finite Element Methods for Electromagnetic and Acoustic Problems

Lecture Notes in Computational Science and Engineering - Modeling and Computations in Electromagnetics ◽

10.1007/978-3-540-73778-0_2 ◽

2008 ◽

pp. 39-64

Author(s):

Z. Chen

Keyword(s):

Finite Element ◽

Error Analysis ◽

Finite Element Methods ◽

Posteriori Error ◽

Adaptive Finite Element ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

Adaptive Finite Element Methods ◽

A Posteriori Error ◽

Posteriori Error Analysis

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A posteriori error analysis for finite element solution of one-dimensional elliptic differential equations using equidistributing meshes

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2015.10.033 ◽

2016 ◽

Vol 299 ◽

pp. 101-126 ◽

Author(s):

Yinnian He ◽

Weizhang Huang

Keyword(s):

Finite Element ◽

Posteriori Error ◽

Element Solution ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

One Dimensional ◽

Elliptic Differential Equations ◽

Equidistributing Meshes ◽

Posteriori Error Analysis

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A posteriori error analysis for elliptic pdes on domains with complicated structures

Numerische Mathematik ◽

10.1007/s00211-003-0495-4 ◽

2004 ◽

Vol 96 (4) ◽

pp. 691-721 ◽

Author(s):

Carsten Carstensen ◽

Stefan A. Sauter

Keyword(s):

Error Analysis ◽

Posteriori Error ◽

Elliptic Pdes ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Posteriori Error Analysis

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