Generalized Barycentric Coordinates for Polygonal Finite Elements
Andrew Gillette
UCSD
Abstract:
Generalized barycentric coordinate functions allow for novel, flexible
finite element methods accommodating polygonal element geometries. The
Sobolev-norm error estimates associated to such methods, however,
require varying levels of geometric criteria on the polygons, depending
on the definition of the coordinate functions. In this talk, I will
discuss these criteria for a variety of coordinate definitions and
discuss the practical tradeoffs between enforcing geometric constraints
and computing finite element basis functions over polygons.