zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Stabilized mixed methods for the Stokes problem. (English) Zbl 0669.76052
The solution of the Stokes problem is approximated by three stabilized mixed methods, one due to Th. J. R. Hughes, M. Balestra, and L. P. Franca [Comput. Methods Appl. Mech. Eng. 59, 85-99 (1986; Zbl 0622.76077)] and the other two being variants of this procedure. In each case the bilinear form associated with the saddle-point problem of the standard mixed formulation is modified to become coercive over the finite element space. Error estimates are derived for each procedure.
MSC:
76D07Stokes and related (Oseen, etc.) flows
65N30Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (BVP of PDE)
References:
[1]Brezzi, F., Pitkäranta, J.: On the stabilization of Finite Element Approximations of the Stokes Problem. In: Efficient Solutions of Elliptic Systems, Notes on Numerical Fluid Mechanics, Vol. 10 (W. Hackbusch, ed.), pp. 11-19. Braunschweig, Wiesbaden: Viewig 1984
[2]Girault, V., Raviart, P.A.: Finite Element Methods for Navier-Stokes Equations. Theory and Algorithms. Berlin Heidelberg New York: Springer 1986
[3]Hughes, T.J.R., Franca, L.P., Balestra, M.: A New Finite Element Formulation for Computational Fluid Mechanics: V. Circumventing the Babu?ka-Brezzi condition: A Stable Petrov-Galerkin Formulation of the Stokes Problem Accommodating Equal Order Interpolation. Comput. Methods Appl. Mech. Eng.59, 85-99 (1986) · Zbl 0622.76077 · doi:10.1016/0045-7825(86)90025-3
[4]Nitsche, J.A.: Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. Abh. Math. Semin. Univ. Hamburg36, 9-15 (1970/1971) · Zbl 0229.65079 · doi:10.1007/BF02995904