Nonconforming finite elements for the Stokes problem
نویسندگان
چکیده
منابع مشابه
Nonconforming Finite Elements for the Stokes Problem
A new stability result is obtained for the approximation of the stationary Stokes problem by nonconforming piecewise cubic approximations to the velocities and a discontinuous piecewise quadratic approximation to the pressure. The basic result is that for most reasonable meshes, these elements form a stable pair without the addition of quartic bubble functions (which had previously been added t...
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Stability result is obtained for the approximation of the stationary Stokes problem with nonconforming elements proposed by Douglas et al [1] for the velocity and discontinuous piecewise constants for the pressure on quadrilateral elements. Optimal order H and L error estimates are derived.
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We study some finite elements which are used in the approximation of the Stokes problem, so as to obtain error estimates of optimal order. Résumé. Nous étudions deux éléments finis utilisés pour l'approximation du problème de Stokes et obtenons des estimations d'erreur d'ordre optimal.
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This paper presents a nonconforming finite element approximation of the space of symmetric tensors with square integrable divergence, on tetrahedral meshes. Used for stress approximation together with the full space of piecewise linear vector fields for displacement, this gives a stable mixed finite element method which is shown to be linearly convergent for both the stress and displacement, an...
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In this paper we define and analyze a posteriori error estimators for nonconforming approximations of the Stokes equations. We prove that these estimators are equivalent to an appropriate norm of the error. For the case of piecewise linear elements we define two estimators. Both of them are easy to compute, but the second is simpler because it can be computed using only the right-hand side and ...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1989
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1989-0958870-8