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Multilevel Solver for Discrete PDEs on kD-Trees
by
Alfonso Limon
Claremont Graduate University
Coauthors: Hedley Morris
Whether tracking the eye of a storm, the leading edge of a wildfire, or the front of a chemical reaction, significant change occurs at the thin edge of an advancing line. Tracking of such change-fronts comes in myriad forms with a wide variety of applications expressible as PDEs. Expanding on Ami Harten’s ideas, we construct a multiresolution coarsening method that is capable of capturing sharp gradients across different scales, and using adaptive radial basis functions, we improving on mesh-free PDE-based simulations by concentrating computational resources where the solution has rapid variation.
Date received: August 30, 2007
Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cauf-68.