A simple quadrature method for singular integral operators on surfaces

报告人: Bowei Wu (吴博尉)

时间：2024年8月8日上午10:00

地点：海纳苑2幢820

摘要: Boundary Value Problems (BVPs) are ubiquitous in scientific and engineering applications. The Boundary Integral Equation Method is a robust and accurate method for solving BVPs, which has the great advantage of dimensionality reduction: all of the unknowns reside on the boundary surface instead of in its enclosing volume. A key challenge when solving integral equations is that special quadrature methods are required to discretize the underlying singular and near-singular integral operators. Accurate discretization of these operators is of essential importance in problems that involve close interacting components. In this talk, we present a simple singular quadrature method that is based on the trapezoidal rule with error corrections. This quadrature method is high-order accurate, fast, robust, and easy to extend to a variety of applications.

报告人简介: Dr. Bowei Wu received his Ph.D. in Applied and Interdisciplinary Mathematics from the University of Michigan in 2019. He was a postdoctoral fellow between 2019 and 2022 at the Oden Institute of the University of Texas at Austin, after which he joined the University of Massachusetts Lowell in 2022. Dr. Wu's research focuses on developing accurate and fast numerical methods for the solution of integral equations and applying them to boundary value problems in mathematical physics.