Abstract or Additional Information
Solutions of hyperbolic partial differential equations propagate at finite speed. Hence tent-shaped spacetime regions appear to be natural for solving hyperbolic equations. By constraining the height of the tent pole, one can ensure causality within the tent. This talk will focus on a numerical technique which proceeds by progressively meshing a spacetime domain by tent shaped objects. The solution can be computed on an unstructured advancing front composed of tent canopies. Such methods are naturally high order in both space and time variables whenever the solution is smooth. The ability to advance in time by different amounts at different spatial locations distinguishes such schemes. We present history of such techniques and our new additions to improve these schemes.
HOST: Michael Neilan