zbMATH — the first resource for mathematics

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.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
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)
Finite volume method based on stabilized finite elements for the nonstationary Navier-Stokes problem. (English) Zbl 1127.76036
Summary: We investigate a finite volume method based on stabilized finite element for two-dimensional nonstationary Navier-Stokes equations. As in stabilized finite element method, macroelement condition is introduced for constructing the local stabilized formulation of nonstationary Navier-Stokes equations. Moreover, for $P_{1} - P_{0}$ element, the $H^{1}$ error estimate of optimal order for finite volume solution $(u_h,p_h)$ is analyzed. And, a uniform $H^{1}$ error estimate of optimal order for finite volume solution $(u_h, p_h)$ is also obtained if the uniqueness condition is satisfied.

76M12Finite volume methods (fluid mechanics)
76M10Finite element methods (fluid mechanics)
76D05Navier-Stokes equations (fluid dynamics)
65M15Error bounds (IVP of PDE)
Full Text: DOI