@Article{JCM-17-191, author = {Feng , Hui 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 = {

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. A net shape of the finite elements around the singular points was designed in [7] to solve the linear elliptic  problems, by means of that net, we prove that the approximate solution has the same convergence rate as that without singularity.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9093.html} }