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)
Multiplier spaces for the mortar finite element method in three dimensions. (English) Zbl 1006.65129

The paper is concerned with mortar finite elements for second-order elliptic boundary value problems (modelled by the Poisson equation) on bounded polyhedral 3D-domains. After a brief introduction into the general method, abstract conditions on the multiplier space to be chosen are formulated which guarantee a stable and convergent mortar finite element method.

If the mesh is only locally (but not globally) quasi-uniform, an additional condition is needed which in general poses further restrictions on the triangulation. Three examples of multiplier spaces are presented which satisfy the abstract conditions: One is defined in terms of a dual basis, and the two others are based on finite volume approaches. Three numerical examples illustrate the method.

MSC:
65N30Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (BVP of PDE)
65F10Iterative methods for linear systems
65N12Stability and convergence of numerical methods (BVP of PDE)
35J05Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation
35J25Second order elliptic equations, boundary value problems
65N50Mesh generation and refinement (BVP of PDE)