@Article{JCM-17-2,
author = {Hui, Feng and Shen, Long-Jun},
title = {The Finite Element Method for Semilinear Parabolic Equations with Discontinuous Coefficients},
journal = {Journal of Computational Mathematics},
year = {1999},
volume = {17},
number = {2},
pages = {191--198},
abstract = {<p style="text-align: justify;">In this paper we investigate the existence, uniqueness and regularity of the solution of semilinear parabolic equations with coefficients that are discontinuous across the interface, and some prior estimates are obtained.&nbsp;A net shape of the finite
elements around the singular points was designed in [7] to solve the linear elliptic&nbsp; problems, by means of that net, we prove that the approximate solution has the
same convergence rate as that without singularity.</p>},
issn = {1991-7139},
doi = {https://doi.org/1999-JCM-9093},
url = {https://global-sci.com/article/85612/the-finite-element-method-for-semilinear-parabolic-equations-with-discontinuous-coefficients}
}