The Department of Applied Mathematics weekly seminar is given by scholars and researchers working in applied mathematics, broadly interpreted.
Title: Fast cut cell quadratures and robust contouring algorithms
Abstract: I will present research that I’ve carried out in industry over the past two years, first at Coreform, LLC, now continuing at Robert McNeel & Associates. The thrust of this is work is developing modern numerical methods for use in commercial solvers and CAD systems. I will initially present novel work on the use of numerical optimization to rapidly and robustly produce efficient high order quadrature rules for use in immersed finite element solvers, and then segue into ongoing work combining interval arithmetic-based subdivision methods with Chebyshev approximation for the solution of general nonlinear contouring problems. This latter work is being carried out with the intention of modernizing the in-house CAD kernel developed at McNeel which drives Rhino 3D.