DMS Applied and Computational Mathematics Seminar

Speaker: Yimin Zhong, Auburn University

Title: Implicit boundary integral method for linearized Poisson Boltzmann equation

Abstract: In this talk, I will give an introduction to the so-called implicit boundary integral method based on the co-area formula and it provides a simple quadrature rule for boundary integral on general surfaces.  Then, I will focus on the application of solving the linearized Poisson Boltzmann equation, which is used to model the electric potential of protein molecules in a solvent. Near the singularity, I will briefly discuss the choices of regularization/correction and illustrate the effect of both cases. In the end, I will show the numerical error estimate based on the harmonic analysis tools.