Paper Info
Title
Optimality Of A Gradient Bound For Polyhedral Wachspress Coordinates
Abstract
In a recent paper with Gillette and Sukumar an upper bound was derived for the gradients of Wachspress barycentric coordinates in simple convex polyhedra. This bound provides a shape-regularity condition that guarantees the convergence of the associated polyhedral finite element method for second order elliptic problems. In this paper we prove the optimality of the bound using a family of hexahedra that deform a cube into a tetrahedron.
Year
DOI
Venue
2014
10.1007/978-3-319-22804-4_16
CURVES AND SURFACES
Keywords
Field
DocType
Barycentric coordinates, Wachspress coordinates, polyhedral finite element method
Convergence (routing),Hexahedron,Combinatorics,Upper and lower bounds,Polyhedron,Regular polygon,Finite element method,Tetrahedron,Mathematics,Cube
Conference
Volume
ISSN
Citations 
9213
0302-9743
0
PageRank 
References 
Authors
0.34
8
1
Name
Order
Citations
PageRank
Michael S. Floater11333117.22