@Article{CiCP-25-928,
author = {In Kwon and Do Y. Kwak},
title = {Discontinuous Bubble Immersed Finite Element Method for Poisson-Boltzmann Equation},
journal = {Communications in Computational Physics},
year = {2018},
volume = {25},
number = {3},
pages = {928--946},
abstract = {<p style="text-align: justify;">We develop a numerical scheme for nonlinear Poisson-Boltzmann equation.
First, we regularize the solution of PBE to remove the singularity. We introduce the
discontinuous bubble function to treat the nonhomogeneous jump conditions of the
regularized solution. Next, starting with an initial guess, we apply linearization to
treat the nonlinearity. Then, we discretize the discontinuous bubble and the bilinear
form of PBE. Finally, we solve the discretized linear problem by IFEM. This process is
repeated by updating the previous approximation.&nbsp;</p><p>We carry out numerical experiments. We observe optimal convergence rate for all
examples.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2018-0014},
url = {http://global-sci.org/intro/article_detail/cicp/12834.html}
}