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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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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Some remarks on the history and future of averaging techniques in a posteriori finite element error analysis

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.200410101 ◽

2004 ◽

Vol 84 (1) ◽

pp. 3-21 ◽

Author(s):

C. Carstensen

Keyword(s):

Finite Element ◽

Error Analysis ◽

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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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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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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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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Saturation and Reliable Hierarchical a Posteriori Morley Finite Element Error Control

Journal of Computational Mathematics ◽

10.4208/jcm.1705-m2016-0549 ◽

2018 ◽

Vol 36 (6) ◽

pp. 833-844

Author(s):

Carsten Carstensen

Keyword(s):

Finite Element ◽

Error Control ◽

A Posteriori ◽

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Averaging Techniques for a Posteriori Error Control in Finite Element and Boundary Element Analysis

Boundary Element Analysis - Lecture Notes in Applied and Computational Mechanics ◽

10.1007/978-3-540-47533-0_2 ◽

2007 ◽

pp. 29-59 ◽

Author(s):

Carsten Carstensen ◽

Dirk Praetorius

Keyword(s):

Finite Element ◽

Boundary Element ◽

Error Control ◽

Posteriori Error ◽

A Posteriori ◽

Element Analysis ◽

A Posteriori Error ◽

Boundary Element Analysis ◽

Averaging Techniques

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Reliable and efficient equilibrated a posteriori finite element error control in elastoplasticity and elastoviscoplasticity with hardening

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2005.05.016 ◽

2006 ◽

Vol 195 (19-22) ◽

pp. 2574-2598 ◽

Author(s):

C. Carstensen ◽

R. Klose ◽

A. Orlando

Keyword(s):

Finite Element ◽

Error Control ◽

A Posteriori ◽

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