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» Approximation by quadrilateral finite elements
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MOC
2002
115views more  MOC 2002»
13 years 7 months ago
Approximation by quadrilateral finite elements
We consider the approximation properties of finite element spaces on quadrilateral meshes. The finite element spaces are constructed starting with a given finite dimensional space ...
Douglas N. Arnold, Daniele Boffi, Richard S. Falk
ICCS
2005
Springer
14 years 29 days ago
Adaptive Surface Modeling Using a Quadtree of Quadratic Finite Elements
Abstract. This article presents special quadrilateral quadratic refinement elements, which provide geometry and field continuity across Tjunctions where two elements are connecte...
G. P. Nikishkov
SIAMNUM
2010
141views more  SIAMNUM 2010»
13 years 2 months ago
A Multipoint Flux Mixed Finite Element Method on Hexahedra
We develop a mixed finite element method for elliptic problems on hexahedral grids that reduces to cell-centered finite differences. The paper is an extension of our earlier paper...
Ross Ingram, Mary F. Wheeler, Ivan Yotov
ADCM
2011
13 years 2 months ago
Approximation properties of the Generalized Finite Element Method
In this paper, we have obtained an approximation result in the Generalized Finite Element Method (GFEM) that reflects the global approximation property of the Partition of Unity ...
C. Anitescu, U. Banerjee
CORR
2002
Springer
86views Education» more  CORR 2002»
13 years 7 months ago
Small Strictly Convex Quadrilateral Meshes of Point Sets
In this paper we give upper and lower bounds on the number of Steiner points required to construct a strictly convex quadrilateral mesh for a planar point set. In particular, we sh...
David Bremner, Ferran Hurtado, Suneeta Ramaswami, ...