A new family of stable elements for the Stokes problem based on a mixed Galerkin/least-squares finite element formulationAdding to the classical Hellinger-Reissner formulation, a residual form of the equilibrium equation, a new Galerkin/least-squares finite element method is derived. It fits within the framework of a mixed finite element method and is stable for rather general combinations of stress and velocity interpolations, including equal-order discontinuous stress and continuous velocity interpolations which are unstable within the Galerkin approach. Error estimates are presented based on a generalization of the Babuska-Brezzi theory. Numerical results (not presented herein) have confirmed these estimates as well as the good accuracy and stability of the method.
Document ID
19900031261
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Franca, Leopoldo P. (Conselho Nacional de Pesquisas Rio de Janeiro, Brazil)
Loula, Abimael F. D. (CNPq Laboratorio Nacional de Computacao Cientifica, Rio de Janeiro, Brazil)
Hughes, Thomas J. R. (Stanford University CA, United States)
Miranda, Isidoro (Sener Ingenieria y Sistemas S.A., Las Arenas, Spain)
Date Acquired
August 14, 2013
Publication Date
January 1, 1989
Subject Category
Fluid Mechanics And Heat Transfer
Meeting Information
Meeting: International Conference on Finite Element Methods in Flow Problems