Implicit interface boundary integral methods

Applied and Computational Mathematics Seminar
Friday, March 13, 2015 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 168
Richard Tsai – University of Texas at Austin
Seong Jun Kim
I will present a new approach for computing boundary integrals that are defined on implicit interfaces, without the need of explicit parameterization. A key component of this approach is a volume integral which is identical to the integral over the interface. I will show results applying this approach to simulate interfaces that evolve according to Mullins-Sekerka dynamics used in certain phase transition problems. I will also discuss our latest results in generalization of this approach to summation of unstructured point clouds and regularization of hyper-singular integrals.