A new finite element formulation for computational fluid dynamics: V. Circumventing the babuška-brezzi condition: a stable Petrov-Galerkin formulation of the stokes problem accommodating equal-order interpolations

Computer Methods in Applied Mechanics and Engineering

Volumn 59, Issue 1, 1986, Pages 85-99

  Hughes, Thomas J R ^a   Franca, Leopoldo P ^a   Balestra, Marc ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES - FINITE ELEMENT METHOD;

EQUAL-ORDER INTERPOLATIONS; PETROV-GALERKIN FORMULATION; STOKES PROBLEM;

FLOW OF FLUIDS;

EID: 0022810283     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7825(86)90025-3     Document Type: Article

References (11)

1. Error bounds for finite element method
2. On the existence, uniqueness and approximation of saddle-point problems arising from Lagrange multipliers
3. On the stabilization of finite element approximations of the Stokes equations
4. Der Allgemeinen Ansätze der Mechanik der Kontinua
5. Elasticity equations for nearly incompressible elasticity
6. A theoretical framework for Petrov-Galerkin methods with discontinuous weighting functions: application to the streamline upwind procedure
7. Streamline diffusion methods for problems in fluid mechanics
8. On a variational theorem in elasticity