$hp$-Adaptation Driven by Polynomial-Degree-Robust A Posteriori Error Estimates for Elliptic Problems

SIAM Journal on Scientific Computing ◽

10.1137/15m1026687 ◽

2016 ◽

Vol 38 (5) ◽

pp. A3220-A3246 ◽

Author(s):

Vít Dolejší ◽

Alexandre Ern ◽

Martin Vohralík

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Elliptic Problems ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Polynomial Degree

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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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Advanced forms of functional a posteriori error estimates for elliptic problems

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rjnamm.2008.029 ◽

2008 ◽

Vol 23 (5) ◽

Author(s):

S. Repin

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Elliptic Problems ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error

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Two-Sided Robust and Sharp a Posteriori Error Estimates in Isogeometric Discretization of Elliptic Problems

Lecture Notes in Computational Science and Engineering - Isogeometric Analysis and Applications 2014 ◽

10.1007/978-3-319-23315-4_10 ◽

2015 ◽

pp. 231-246

Author(s):

Stefan K. Kleiss ◽

Satyendra K. Tomar

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Elliptic Problems ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Isogeometric Discretization

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Balanced a posteriori error estimates for finite-volume type discretizations of convection-dominated elliptic problems

Computing ◽

10.1007/bf02238485 ◽

1995 ◽

Vol 55 (4) ◽

pp. 305-323 ◽

Author(s):

L. Angermann

Keyword(s):

Error Estimates ◽

Finite Volume ◽

A Posteriori Error Estimates ◽

Elliptic Problems ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Dominated

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A posteriori error estimates for mixed finite element approximations of elliptic problems

Numerische Mathematik ◽

10.1007/s00211-007-0121-y ◽

2007 ◽

Vol 108 (3) ◽

pp. 487-500 ◽

Author(s):

Mats G. Larson ◽

Axel Målqvist

Keyword(s):

Finite Element ◽

Error Estimates ◽

Mixed Finite Element ◽

A Posteriori Error Estimates ◽

Elliptic Problems ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Finite Element Approximations

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A Posteriori Error Estimates for Elliptic Problems in Two and Three Space Dimensions

SIAM Journal on Numerical Analysis ◽

10.1137/0733059 ◽

1996 ◽

Vol 33 (3) ◽

pp. 1188-1204 ◽

Author(s):

Folkmar A. Bornemann ◽

Bodo Erdmann ◽

Ralf Kornhuber

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Elliptic Problems ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

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A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142902405217 ◽

2003 ◽

Vol 41 (6) ◽

pp. 2374-2399 ◽

Author(s):

Ohannes A. Karakashian ◽

Frederic Pascal

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

A Posteriori Error Estimates ◽

Galerkin Approximation ◽

Elliptic Problems ◽

Posteriori Error ◽

Second Order ◽

A Posteriori ◽

A Posteriori Error ◽

Second Order Elliptic Problems

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A posteriori error estimates of edge residual type of finite element method for nonmonotone quasi-linear elliptic problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21838 ◽

2013 ◽

Vol 30 (3) ◽

pp. 813-837 ◽

Author(s):

Liming Guo ◽

Ziping Huang ◽

Cheng Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Elliptic Problems ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

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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 of Two-Grid Finite Element Methods for Nonlinear Elliptic Problems

Journal of Scientific Computing ◽

10.1007/s10915-017-0422-y ◽

2017 ◽

Vol 74 (1) ◽

pp. 23-48 ◽

Author(s):

Chunjia Bi ◽

Cheng Wang ◽

Yanping Lin

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

A Posteriori Error Estimates ◽

Elliptic Problems ◽

Posteriori Error ◽

A Posteriori ◽

Nonlinear Elliptic Problems ◽

A Posteriori Error ◽

Nonlinear Elliptic

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