3 papers
math.NA2025
Implementation of Worsey-Farin splines with applications to solution transfer
Logan Larose, David Williams
This work primarily focuses on providing full implementation details for Worsey-Farin (WF) spline interpolation over tetrahedral elements. While this spline space is not new and th…
math.NA2024
Spline-based solution transfer for space-time methods in 2D+t
Logan Larose, Jude T. Anderson, David M. Williams
This work introduces a new solution-transfer process for slab-based space-time finite element methods. The new transfer process is based on Hsieh-Clough-Tocher (HCT) splines and sa…
math.NA2023
Anisotropic Delaunay hypervolume meshing for space-time applications: point insertion, quality heuristics, and bistellar flips
Jude T. Anderson, David M. Williams
This paper provides a comprehensive guide to generating unconstrained, simplicial, four-dimensional (4D), hypervolume meshes for space-time applications. While several universal pr…