A locally conservative stress recovery technique for continuous Galerkin FEM in linear elasticity

Bush, Lawrence; Deng, Quanling; Ginting, Victor

doi:10.1016/j.cma.2015.01.002

Title: A locally conservative stress recovery technique for continuous Galerkin FEM in linear elasticity

Journal Article · Wed Apr 01 00:00:00 EDT 2015 · Computer Methods in Applied Mechanics and Engineering

DOI:https://doi.org/10.1016/j.cma.2015.01.002· OSTI ID:1365586

Bush, Lawrence; Deng, Quanling; Ginting, Victor

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Sponsoring Organization:: USDOE

Grant/Contract Number:: FE0004832; SC0004982

OSTI ID:: 1365586

Journal Information:: Computer Methods in Applied Mechanics and Engineering, Journal Name: Computer Methods in Applied Mechanics and Engineering Vol. 286 Journal Issue: C; ISSN 0045-7825

Publisher:: ElsevierCopyright Statement

Country of Publication:: Netherlands

Language:: English

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Cited by: 7 works

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References (19)

The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique Zienkiewicz, O. C.; Zhu, J. Z. International Journal for Numerical Methods in Engineering, Vol. 33, Issue 7 https://doi.org/10.1002/nme.1620330702	journal	May 1992
Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity Rivi�re, B�atrice; Shaw, Simon; Wheeler, Mary F. Numerische Mathematik, Vol. 95, Issue 2 https://doi.org/10.1007/s002110200394	journal	August 2003
The superconvergent patch recovery anda posteriori error estimates. Part 2: Error estimates and adaptivity Zienkiewicz, O. C.; Zhu, J. Z. International Journal for Numerical Methods in Engineering, Vol. 33, Issue 7 https://doi.org/10.1002/nme.1620330703	journal	May 1992
Application of a conservative, generalized multiscale finite element method to flow models Bush, Lawrence; Ginting, Victor; Presho, Michael Journal of Computational and Applied Mathematics, Vol. 260 https://doi.org/10.1016/j.cam.2013.10.006	journal	April 2014
An improved variational method for finite element stress recovery and a posteriori error estimation Tessler, Alexander; Riggs, H. Ronald; Freese, Colin E. Computer Methods in Applied Mechanics and Engineering, Vol. 155, Issue 1-2 https://doi.org/10.1016/S0045-7825(97)00135-7	journal	March 1998
Some a posteriori error estimators for elliptic partial differential equations Bank, R. E.; Weiser, A. Mathematics of Computation, Vol. 44, Issue 170 https://doi.org/10.1090/S0025-5718-1985-0777265-X	journal	May 1985
Application of the finite volume method and unstructured meshes to linear elasticity Jasak, H.; Weller, H. G. International Journal for Numerical Methods in Engineering, Vol. 48, Issue 2 https://doi.org/10.1002/(SICI)1097-0207(20000520)48:2<267::AID-NME884>3.0.CO;2-Q	journal	May 2000
On the Application of the Continuous Galerkin Finite Element Method for Conservation Problems Bush, L.; Ginting, V. SIAM Journal on Scientific Computing, Vol. 35, Issue 6 https://doi.org/10.1137/120900393	journal	January 2013
Mixed finite element methods for linear elasticity with weakly imposed symmetry Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar Mathematics of Computation, Vol. 76, Issue 260 https://doi.org/10.1090/S0025-5718-07-01998-9	journal	October 2007
A review of a posteriori error estimation techniques for elasticity problems Verfürth, R. Computer Methods in Applied Mechanics and Engineering, Vol. 176, Issue 1-4 https://doi.org/10.1016/S0045-7825(98)00347-8	journal	July 1999
A variational method for finite element stress recovery and error estimation Tessler, A.; Riggs, H. R.; Macy, S. C. Computer Methods in Applied Mechanics and Engineering, Vol. 111, Issue 3-4 https://doi.org/10.1016/0045-7825(94)90140-6	journal	January 1994
Improved stresses for the 4-node tetrahedral element Payen, Daniel Jose; Bathe, Klaus-Jürgen Computers & Structures, Vol. 89, Issue 13-14 https://doi.org/10.1016/j.compstruc.2011.02.009	journal	July 2011
Error estimates in $L^2$, $H^1$ and $L^\infty$ in covolume methods for elliptic and parabolic problems: A unified approach Chou, So-Hsiang; Li, Qian Mathematics of Computation, Vol. 69, Issue 229 https://doi.org/10.1090/S0025-5718-99-01192-8	journal	August 1999
Studies of finite element procedures—stress band plots and the evaluation of finite element meshes Sussman, Theodore; Bathe, Klaus‐Jürgen Engineering Computations, Vol. 3, Issue 3 https://doi.org/10.1108/eb023655	journal	March 1986
Finite Volume Methods for Elliptic PDE's: A New Approach Chatzipantelidis, Panagiotis ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 36, Issue 2 https://doi.org/10.1051/m2an:2002014	journal	March 2002
Averaging technique for FE – a posteriori error control in elasticity. Part I: Conforming FEM Carstensen, Carsten; Funken, Stefan A. Computer Methods in Applied Mechanics and Engineering, Vol. 190, Issue 18-19 https://doi.org/10.1016/S0045-7825(00)00248-6	journal	January 2001
A simple error estimator and adaptive procedure for practical engineerng analysis Zienkiewicz, O. C.; Zhu, J. Z. International Journal for Numerical Methods in Engineering, Vol. 24, Issue 2 https://doi.org/10.1002/nme.1620240206	journal	February 1987
The use of nodal point forces to improve element stresses Payen, Daniel Jose; Bathe, Klaus-Jürgen Computers & Structures, Vol. 89, Issue 5-6 https://doi.org/10.1016/j.compstruc.2010.12.002	journal	March 2011
A posteriori error estimation techniques in practical finite element analysis Grätsch, Thomas; Bathe, Klaus-Jürgen Computers & Structures, Vol. 83, Issue 4-5 https://doi.org/10.1016/j.compstruc.2004.08.011	journal	January 2005

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