Georgia Institute of Technology College of Sciences

In this talk, I will give an introduction to the 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 analysis for the error estimate.