Local averaging based a posteriori finite element error control for quasilinear elliptic problems with application to electrical potential computation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2006.05.008 ◽

2006 ◽

Vol 196 (1-3) ◽

pp. 452-465 ◽

Author(s):

Ying Yang ◽

Aihui Zhou

Keyword(s):

Finite Element ◽

Error Control ◽

Electrical Potential ◽

Elliptic Problems ◽

A Posteriori ◽

Local Averaging ◽

Quasilinear Elliptic Problems ◽

Quasilinear Elliptic ◽

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Gradient WEB-spline finite element method for solving two-dimensional quasilinear elliptic problems

Applied Mathematical Modelling ◽

10.1016/j.apm.2013.06.018 ◽

2014 ◽

Vol 38 (2) ◽

pp. 775-783 ◽

Author(s):

Ali Zakeri ◽

Amir Hossein Salehi Shayegan

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problems ◽

Two Dimensional ◽

Spline Finite Element ◽

Quasilinear Elliptic Problems ◽

Quasilinear Elliptic ◽

Element Method ◽

Spline Finite Element Method

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Finite element approximation for some quasilinear elliptic problems

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(98)00085-5 ◽

1998 ◽

Vol 96 (1) ◽

pp. 13-25 ◽

Author(s):

Yuki Matsuzawa

Keyword(s):

Finite Element ◽

Elliptic Problems ◽

Finite Element Approximation ◽

Element Approximation ◽

Quasilinear Elliptic Problems ◽

Quasilinear Elliptic

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Averaging techniques for reliable and efficient a posteriori finite element error control: analysis and applications

Recent Advances in Adaptive Computation - Contemporary Mathematics ◽

10.1090/conm/383/07155 ◽

2005 ◽

pp. 15-34 ◽

Author(s):

Carsten Carstensen ◽

Max Jensen

Keyword(s):

Finite Element ◽

Error Control ◽

Control Analysis ◽

A Posteriori ◽

Element Error ◽

Averaging Techniques

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Averaging techniques yield reliable a posteriori finite element error control for obstacle problems

Numerische Mathematik ◽

10.1007/s00211-004-0553-6 ◽

2004 ◽

Vol 99 (2) ◽

pp. 225-249 ◽

Author(s):

S. Bartels ◽

C. Carstensen

Keyword(s):

Finite Element ◽

Error Control ◽

Obstacle Problems ◽

A Posteriori ◽

Element Error ◽

Averaging Techniques

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A posteriori dual-mixed adaptive finite element error control for Lamé and Stokes equations

Numerische Mathematik ◽

10.1007/s00211-005-0616-3 ◽

2005 ◽

Vol 101 (2) ◽

pp. 309-332 ◽

Author(s):

Carsten Carstensen ◽

Paola Causin ◽

Riccardo Sacco

Keyword(s):

Finite Element ◽

Error Control ◽

Stokes Equations ◽

Adaptive Finite Element ◽

A Posteriori ◽

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All first-order averaging techniques for a posteriori finite element error control on unstructured grids are efficient and reliable

Mathematics of Computation ◽

10.1090/s0025-5718-03-01580-1 ◽

2003 ◽

Vol 73 (247) ◽

pp. 1153-1166 ◽

Author(s):

C. Carstensen

Keyword(s):

Finite Element ◽

Error Control ◽

Unstructured Grids ◽

A Posteriori ◽

First Order ◽

Element Error ◽

Averaging Techniques

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A unifying theory of a posteriori finite element error control

Numerische Mathematik ◽

10.1007/s00211-004-0577-y ◽

2005 ◽

Vol 100 (4) ◽

pp. 617-637 ◽

Author(s):

C. Carstensen

Keyword(s):

Finite Element ◽

Error Control ◽

A Posteriori ◽

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A Review of Unified A Posteriori Finite Element Error Control

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.2011.m1032 ◽

2012 ◽

Vol 5 (4) ◽

pp. 509-558 ◽

Author(s):

C. Carstensen

Keyword(s):

Finite Element ◽

Error Control ◽

A Posteriori ◽

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Global superconvergence and a posteriori error estimates of the finite element method for second-order quasilinear elliptic problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2013.09.042 ◽

2014 ◽

Vol 260 ◽

pp. 78-90 ◽

Author(s):

Chunjia Bi ◽

Victor Ginting

Keyword(s):

Finite Element Method ◽

Finite Element ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

The Finite Element Method ◽

A Posteriori Error ◽

Quasilinear Elliptic Problems ◽

Quasilinear Elliptic ◽

Global Superconvergence

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A modified weak Galerkin finite element method for nonmonotone quasilinear elliptic problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113928 ◽

2021 ◽

pp. 113928

Author(s):

Liming Guo ◽

Qiwei Sheng ◽

Cheng Wang ◽

Ziping Huang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problems ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Quasilinear Elliptic Problems ◽

Quasilinear Elliptic ◽

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