Shilpa Khatri: [WS] Close Evaluation of Layer Potentials

Speaker
Shilpa Khatri, Applied Mathematics, University of California, Merced

Abstract
To understand the fluid dynamics of complex marine phenomena, fluid-structure interaction problems must be solved. Challenges exist in developing numerical techniques to solve these flow problems with boundary conditions at fluid-structure interfaces. I will present details of a novel method that is being developed to address these challenges. We are looking at accurate evaluation of layer potentials near interfaces and boundaries in two dimensions. I will present how classical numerical methods are problematic for evaluations close to boundaries and how newly developed numerical methods based on asymptotics can be used to improve accuracy.