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» Mixed finite elements for elasticity on quadrilateral meshes
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MOC
2002
115views more  MOC 2002»
13 years 4 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
SIAMNUM
2011
117views more  SIAMNUM 2011»
12 years 12 months ago
Mixed hp-Finite Element Method for Linear Elasticity with Weakly Imposed Symmetry: Stability Analysis
The paper presents a generalization of Arnold-Falk-Winther elements for linear elasticity, to meshes with elements of variable order. The generalization is straightforward but the ...
Weifeng Qiu, Leszek F. Demkowicz
ICCS
2005
Springer
13 years 10 months 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»
12 years 11 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
CORR
2002
Springer
86views Education» more  CORR 2002»
13 years 4 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, ...