201 citations · 424 across the 21 of their papers we have counts for
4 papers · 1 filter
Building Space-Time Meshes over Arbitrary Spatial Domains
Jeff Erickson, Damrong Guoy, John M. Sullivan +1
We present an algorithm to construct meshes suitable for space-time discontinuous Galerkin finite-element methods. Our method generalizes and improves the `Tent Pitcher' algorithm…
Cubic Polyhedra
Chaim Goodman-Strauss, John M Sullivan
A cubic polyhedron is a polyhedral surface whose edges are exactly all the edges of the cubic lattice. Every such polyhedron is a discrete minimal surface, and it appears that many…
The Second Hull of a Knotted Curve
Jason Cantarella, Greg Kuperberg, Rob Kusner +1
The convex hull of a set K in space consists of points which are, in a certain sense, "surrounded" by K. When K is a closed curve, we define its higher hulls, consisting of points…
Approximating Ropelength by Energy Functions
John M Sullivan
The ropelength of a knot is the quotient of its length by its thickness. We consider a family of energy functions for knots, depending on a power p, which approach ropelength as p…