@Article{EAJAM-10-3,
author = {Ming, Li and Zhoushun, Zheng and Pan, Kejia and Yue, Xiaoqiang},
title = {An Efficient Newton Multiscale Multigrid Method for 2D Semilinear Poisson Equations},
journal = {East Asian Journal on Applied Mathematics},
year = {2020},
volume = {10},
number = {3},
pages = {620--634},
abstract = {<p style="text-align: justify;">An efficient Newton multiscale multigrid (Newton-MSMG) for solving large
nonlinear systems arising in the fourth-order compact difference discretisation of 2D
semilinear Poisson equations is presented. The Newton-MG method is employed to calculate approximation solutions on coarse and fine grids and then a completed Richardson extrapolation is used to construct a sixth-order extrapolated solution on the entire
fine grid directly. The method is applied to two nonlinear Poisson-Boltzmann equations
and numerical simulations show that the Newton-MSMG method is a cost-effective approach with the sixth-order accuracy.<br/></p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.090120.260320},
url = {https://global-sci.com/article/82573/an-efficient-newton-multiscale-multigrid-method-for-2d-semilinear-poisson-equations}
}