Andrew Gillette

Gradient Bounds for Wachspress Coordinates on Polytopes

We derive upper and lower bounds on the gradients of Wachspress coordinates defined over any simple convex

Error estimates for generalized barycentric interpolation

d

Topology Based Selection and Curation of Level Sets

-dimensional polytope

Construction of Scalar and Vector Finite Element Families on Polygonal and Polyhedral Meshes

P

Molecular and Subcellular-Scale Modeling of Nucleotide Diffusion in the Cardiac Myofilament Lattice

. The bounds are in terms of a single geometric quantity

Efficient Delaunay Mesh Generation from Sampled Scalar Functions

h_\ast

High-order finite element methods for cardiac monodomain simulations

, which denotes the minimum distance between a vertex of

A generalization for stable mixed finite elements

P

Nodal Bases for the Serendipity Family of Finite Elements

and any hyperplane containing a nonincident face. We prove that the upper bound is sharp for

Hermite and Bernstein Style Basis Functions for Cubic Serendipity Spaces on Squares and Cubes

d=2