PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Tao Huang, Fang Yu.

Title:Some Error Bounds for the Finite Element Approximation to the Steady-State Poisson-Nernst-Planck Equations
Seminar:Complex Fluids Seminar
Speaker:Ying Yang, Guiling University of Electronic Technology
Abstract:
Poisson-Nernst-Planck (PNP) equations are a coupled system of nonlinear partial differential equations, which describe the electrodiffusion of ions in a solvated biomolecular system. In the first part of this report, a two-grid finite element method is presented for PNP, which can avoid the divergence of the iteration method for solving the coupled system of PNP and largely improve the efficiency of computation. In the second part, some error bounds for a piecewise finite element approximation to this problem are derived. Several numerical examples including biomolecular problems are shown to support our analysis.

Room Reservation Information

Room Number:MB315
Date:12 / 11 / 2013
Time:03:00pm - 04:30pm