A robust a posteriori error estimate for the Fortin-Soulie finite-element method

Computers and Mathematics with Applications

Volumn 48, Issue 12, 2004, Pages 1863-1876

  Blacker, D J ^a  

^a UNIVERSITY OF STRATHCLYDE   (United Kingdom)

Author keywords

A posteriori error estimation; Finite element method; Fortin Soulie finite element

Indexed keywords

BOUNDARY CONDITIONS; DEGREES OF FREEDOM (MECHANICS); ELASTIC MODULI; ERROR ANALYSIS; INTEGER PROGRAMMING; LINEARIZATION; MATRIX ALGEBRA; POISSON RATIO; QUADRATIC PROGRAMMING; VECTORS;

A POSTERIORI ERROR ESTIMATION; FORTIN-SOULIE FINITE ELEMENT; MATRIX-VALUED FUNCTIONS; POSTERIORI ERROR ESTIMATES;

FINITE ELEMENT METHOD;

EID: 15344347029     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2004.07.011     Document Type: Article

References (15)

1. C. Carstensen, and S.A. Funken Averaging technique for FE - A posteriori error control in elasticity. Part II: λ-independent estimates Computer Methods in Applied Mechanics and Engineering 190 35-36 2001 4663 4675
2. C. Carstensen, and S.A. Funken Averaging technique for FE - A posteriori error control in elasticity. Part III: Locking-free non-conforming FEM Computer Methods in Applied Mechanics and Engineering 191 8-10 2001 861 877
3. M. Ainsworth, and T. Oden A Posteriori Estimation in Finite Element Analysis 2000 John Wiley and Sons
4. R. Verfürth A review of a posteriori error estimation techniques for elasticity problems P. Ladevze J.T. Oden On New Advances in Adaptive Computational Methods in Mechanics 1997 Elsevier New York
5. I. Babuška, R. Durán, and R. Rodríguez Analysis of the efficiency of an a posteriori error estimator for linear triangular finite-elements SIAM Journal on Numerical Analysis 29 4 1992 947 964
6. O.C. Zienkiewicz, and J.Z. Zhu A simple error estimator and adaptive procedure for practical engineering analysis International Journal for Numerical Methods in Engineering 24 1987 337 357
7. C. Carstensen and S.A. Funken, Averaging technique for FE - A posteriori error control in elasticity. Part I: Conforming FEM, Computer Methods in Applied Mechanics and Engineering 190 (18-19), 2483-2498.
8. C. Carstensen, and S. Jansche A posteriori error estimates and adaptive mesh-refining for non-conform finite-element methods Berichtsreihe des Mathematischen Seminars Kiel 97-8 1997
9. F. Brezzi, and M. Fortin Mixed and Hybrid Finite Element Methods 1991 Springer-Verlag
10. S. Brenner, and L.R. Scott The Mathematical Theory of Finite Element Methods, Texts in Applied Mathematics Series Volume 15 1994 Springer-Verlag
11. C. Carstensen, and S.A. Funken A posteriori error control in low-order finite-element discretisations of incompressible stationary flow problems Mathematics of Computation 70 236 2001 1353 1381
12. R. Kouhia, and R. Stenberg A linear non-conforming finite-element method for nearly incompressible elasticity and Stokes flow Computer Methods in Applied Mechanics and Engineering 124 1995 195 212
13. D.J. Blacker Robust Non-conforming Finite Element Approximation in Nearly Incompressible Elasticity 2002 University of Strathclyde New York
14. D.H. Griffel Applied Functional Analysis 1981 Ellis Honwood Limited
15. M. Ainsworth, and B. Senior Aspects of an adaptive hp-finite-element method: Adaptive strategy, conforming approximation and efficient solvers Computer Methods in Applied Mechanics and Engineering 150 1997 65 87