The Finite Element Approximation of the Nonlinear Poisson-Boltzmann Equation.
主 题: The Finite Element Approximation of the Nonlinear Poisson-Boltzmann Equation.
报告人: Long Chen（Department of Mathematics,university of california Irvine）
时 间: 2011-08-19 10:00-12:00
地 点: 理科一号楼1418
Abstract: A widely used electrostatics model in the biomolecular modeling community, the nonlinear Poisson-Boltzmann equation, along with its finite element approximation, are analyzed in this talk. A regularized Poisson-Boltzmann equation is introduced as an auxiliary problem, making it possible to study the original nonlinear equation with delta function sources. {\\it A priori} error estimates for the finite element approximation is obtained for the regularized Poisson-Boltzmann equation based on certain quasi-uniform grids in two and three dimensions. Adaptive finite element approximation through
local refinement driven by {\\it a posteriori} error estimate is shown to converge.
