Averaging technique for a posteriori error control in elasticity. Part III: Locking-free nonconforming FEM

Computer Methods in Applied Mechanics and Engineering

Volumn 191, Issue 8-10, 2001, Pages 861-877

  Carstensen, Carsten ^a   Funken, Stefan A ^a,b  

^a UNIVERSITY OF KIEL   (Germany)

^b UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

A posteriori error estimates; Adaptive algorithm; Elasticity; Finite element method; Nonconforming finite elements; Reliability

Indexed keywords

ELASTICITY; ERROR DETECTION; FINITE ELEMENT METHOD; GEOTEXTILES; RELIABILITY; ROBUSTNESS (CONTROL SYSTEMS);

ERROR CONTROL;

MECHANICS;

ELASTICITY; FINITE ELEMENT METHOD;

EID: 0035930913     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(01)00202-X     Document Type: Article

References (19)

1. A priori and a posteriori error bounds for a non-conforming linear finite element approximation of a non-Newtonian flow
2. A posteriori error estimates and adaptive mesh-refining for non-conform finite element methods
3. Quasi interpolation and a posteriori error analysis in finite element method
4. Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part I. Low order conforming, nonconforming, and mixed FEM
5. A posteriori error estimates for mixed FEM in elasticity
6. Locking-free adaptive mixed finite element methods in elasticity
7. Constants in Clément-interpolation error and residual based a posteriori error estimates in finite element methods
8. A posteriori error control in low-order finite element discretisations of incompressible stationary flow problems
9. Averaging technique for FE-a posteriori error control in elasticity. Part I: Conforming FEM
10. Averaging technique for FE-a posteriori error control in elasticity. Part II: Locking-free FEM
11. Edge residuals dominate a posteriori error estimates for low order finite element methods
12. A posteriori error estimators for noncomforming finite element methods
13. Equivalence of finite element methods for problems in elasticity
14. A linear nonconforming finite element method for nearly incompressible elasticity and Stokes flow
15. A family of mixed finite elements for the elasticity problem