Compatible approximation spaces for the velocity-pressure-stress formulation for creeping flows

Applied Numerical Mathematics

Volumn 33, Issue 1, 2000, Pages 225-231

  Gerritsma, M I ^a   Phillips, T N ^b  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b ABERYSTWYTH UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; CREEP; FLUID DYNAMICS; OPTIMIZATION; PRESSURE; PROBLEM SOLVING; VELOCITY;

COMPATIBLE APPROXIMATION SPACES; CREEPING FLOWS; DISCONTINUOUS EXTRA STRESS APPROXIMATION; VELOCITY PRESSURE STRESS FORMULATION; VISCOUS STRESS TENSOR;

NAVIER STOKES EQUATIONS;

EID: 0034190307     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(99)00087-2     Document Type: Article

References (5)

1. M. Fortin, R. Pierre, On the convergence of the mixed method of Crochet and Marchal for viscoelastic flows, Comput. Methods Appl. Mech. Engrg. 73 (1989) 341-350.
2. M.I. Gerritsma, T.N. Phillips. Compatible spectral approximations for the velocity-pressure-stress formulation of the Stokes problem, SIAM J. Sci. Comput. 20 (4) (1999) 1530-1550.
3. M.I. Gerritsma, T.N. Phillips, Discontinuous spectral element approximations for the velocity-pressure-stress formulation of the Stokes problem, Internat. J. Numer. Methods Engrg. 43 (1998) 1401-1419.
4. N-2 method for the approximation of the Stokes problem, Numer. Math. (1995) (submitted).
5. J.M. Marchal, M.J. Crochet, A new mixed finite element method for calculating viscoelastic flow, J. Non-Newtonian Fluid Mech. 26 (1987) 77-114.