An edge-averaged finite element calculation for a class of nonlinear Poisson-Nernst-Planck equations
For a nonlinear Poisson-Nernst-Planck mathematical model,in order to improve the stability and efficiency of numerical solution process,the edge-averaged finite element discretization scheme is derived,and a coupled iterative algorithm for numerical solution is given.Under some mild assumptions,the stiffness matrix of edge-averaged finite element discrete scheme is an M-matrix,and the numerical solution is more stable than the standard finite element method.The numerical results show that the L2 norm error convergence order of the edge-averaged finite element method is optimal,and the CPU time of the edge-averaged finite element method is about one third of that of the standard finite element method under the same degrees of freedom.
nonlinear Poisson-Nernst-Planck equationsedge-averaged finite element methodstandard finite element method
万方数据
维普
