##### Department of Mathematics,

University of California San Diego

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### Informal Seminar on Mathematics and Biochemistry and Biophysics

## Wenjun Ying

#### Shanghai Jiao Tong University

## A Kernel-free Boundary Integral Method for the Poisson-Boltzmann Equation

##### Abstract:

In this talk, first I will present a kernel-free boundary integral (KFBI) method for the linearized Poisson-Boltzmann equation, which may have variable coefficients and is in general not applicable for the standard boundary integral method. Then I will present the KFBI method for the nonlinear Poisson-Boltzmann equation. The KFBI method is a Cartesian grid method. It uses Cartesian grid-based solutions to compute approximations to boundary and volume integrals involved in the solution of boundary integral equations for the Poisson-Boltzmann equation. I will also present numerical examples in both two and three space dimensions to demonstrate the efficiency and accuracy of the KFBI method.

Li-Tien Cheng and Bo Li

### February 7, 2013

### 1:00 PM

### AP&M 5829

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