A low-order mixed finite element method for a class of quasi-Newtonian Stokes flows. Part II: A posteriori error analysis

Computer Methods in Applied Mechanics and Engineering

Volumn 193, Issue 9-11, 2004, Pages 893-911

  Gatica, Gabriel N ^a   González, María ^b   Meddahi, Salim ^c  

^a UNIVERSITY OF CONCEPCIÓN   (Chile)

^b UNIVERSITY OF A CORUÑA   (Spain)

^c UNIVERSITY OF OVIEDO   (Spain)

Author keywords

A posteriori error analysis; Mixed finite element method; Twofold saddle point formulation

Indexed keywords

ALGORITHMS; ERROR ANALYSIS; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NAVIER STOKES EQUATIONS; NONLINEAR EQUATIONS; TENSORS; VARIATIONAL TECHNIQUES;

QUASI-NEWTONIAN FLUIDS;

NEWTONIAN FLOW;

FINITE ELEMENT METHOD;

EID: 1442338555     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2003.11.008     Document Type: Article

References (10)

1. Bank R.E. Weiser A. Some a posteriori error estimators for elliptic partial differential equations Math. Computat. 44 1985 283-301
2. Barrientos M.A. Gatica G.N. Stephan E.P. A mixed finite element method for nonlinear elasticity: Two-fold saddle point approach and a-posteriori error estimate Numerische Mathematik 91 2 2002 197-222
3. Brink U. Stein E. A posteriori error estimation in large-strain elasticity using equilibrated local Neumann problems Comput. Methods Appl. Mech. Engrg. 161 1998 77-101
4. Brink U. Stephan E.P. Adaptive coupling of boundary elements and mixed finite elements for incompressible elasticity Num. Methods Partial Diff. Equat. 17 2001 79-92
5. G.N. Gatica, M. González, S. Meddahi, A low-order mixed finite element method for a class of quasi-Newtonian Stokes flows. Part I: A-priori error analysis, Comput. Methods Appl. Mech. Engrg. 193 (6-8) (2004), to be published
6. Gatica G.N. Heuer N. Stephan E.P. An implicit-explicit residual error estimator for the coupling of dual-mixed finite elements and boundary elements in elastostatics Math. Methods Appl. Sci. 24 2001 179-191
7. Gatica G.N. Stephan E.P. A mixed-FEM formulation for nonlinear incompressible elasticity in the plane Num. Methods Partial Diff. Equat. 18 1 2002 105-128
8. Lions J.-L. Magenes E. Problèmes aux Limites non Homogènes et Applications I 1968 Dunod Paris
9. Stroud A. Approximate Calculation of Multiple Integrals 1971 Prentice-Hall Englewood Cliffs
10. Verfürth R. A Review of A Posteriori Error Estimation and Adaptive Mesh-Refinement Techniques 1996 Wiley-Teubner Chichester