@Article{NMTMA-6-325,
author = {Rongpei Zhang, Xijun Yu, Xia Cui, Xiaohan Long and Tao Feng},
title = {A New Discontinuous Galerkin Method for Parabolic Equations with Discontinuous Coefficient},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2013},
volume = {6},
number = {2},
pages = {325--342},
abstract = {<p style="text-align: justify;">In this paper, a new discontinuous Galerkin method is developed for
the parabolic equation with jump coefficients satisfying the
continuous flow condition. Theoretical analysis shows that this
method is $L^2$ stable. When the finite element space consists of
interpolative polynomials of degrees $k$, the convergent rate of the
semi-discrete discontinuous Galerkin scheme has an order of&nbsp;$\mathcal{O}(h^k)$. Numerical examples for both 1-dimensional and
2-dimensional problems demonstrate the validity of the new method.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2013.y11038},
url = {http://global-sci.org/intro/article_detail/nmtma/5906.html}
}