On some three-dimensional finite elements for incompressible media
作者： Rolf Stenberg
DOI: 10.1016/0045-7825(87)90072-7
关键词:
摘要: Abstract Optimal error estimates are derived for the three-dimensional counterparts to Taylor-Hood [1] and Bercovier-Pironneau [2] mixed finite element methods incompressible media.
harvard.edu
elsevier.com
sci-hub.se 参考文章(20)
W. G. Pritchard, Some viscous-dominated flows Trends and Applications of Pure Mathematics to Mechanics. ,vol. 195, pp. 305- 332 ,(1984) , 10.1007/3-540-12916-2_64
F. Brezzi, On the existence, uniqueness and approximation of saddle-point problems arising from lagrangian multipliers Revue française d'automatique, informatique, recherche opérationnelle. Analyse numérique. ,vol. 8, pp. 129- 151 ,(1974) , 10.1051/M2AN/197408R201291
Christine Bernardi, Genevi{ève Raugel, Analysis of some finite elements for the Stokes problem Mathematics of Computation. ,vol. 44, pp. 71- 79 ,(1985) , 10.1090/S0025-5718-1985-0771031-7
LEONARD R. HERRMANN, Elasticity Equations for Incompressible and Nearly Incompressible Materials by a Variational Theorem AIAA Journal. ,vol. 3, pp. 1896- 1900 ,(1965) , 10.2514/3.3277
J. Pitk{äranta, R. Stenberg, Analysis of Some Mixed Finite Element Methods for Plane Elasticity Equations Mathematics of Computation. ,vol. 41, pp. 399- 423 ,(1983) , 10.1090/S0025-5718-1983-0717693-X
Rolf Stenberg, On the construction of optimal mixed finite element methods for the linear elasticity problem Numerische Mathematik. ,vol. 48, pp. 447- 462 ,(1986) , 10.1007/BF01389651
Thomas J.R. Hughes, Wing Kam Liu, Alec Brooks, Finite Element Analysis of Incompressible Viscous Flows by the Penalty Function Formulation Journal of Computational Physics. ,vol. 30, pp. 1- 60 ,(1979) , 10.1016/0021-9991(79)90086-X
Philippe G. Ciarlet, J. T. Oden, The Finite Element Method for Elliptic Problems ,(1978)
Ivo Babuška, The finite element method with Lagrangian multipliers Numerische Mathematik. ,vol. 20, pp. 179- 192 ,(1973) , 10.1007/BF01436561
M. Bercovier, O. Pironneau, Error estimates for finite element method solution of the Stokes problem in the primitive variables Numerische Mathematik. ,vol. 33, pp. 211- 224 ,(1979) , 10.1007/BF01399555