@Article{IJNAM-13-525,
author = {},
title = {Weak Galerkin Finite Element Method for Second Order Parabolic Equations},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2016},
volume = {13},
number = {4},
pages = {525--544},
abstract = {<p style="text-align: justify;">We apply in this paper the weak Galerkin method to the second order parabolic
differential equations based on a discrete weak gradient operator. We establish both the continuous
time and the discrete time weak Galerkin finite element schemes, which allow using the totally
discrete functions in approximation space and the finite element partitions of arbitrary polygons
with certain shape regularity. We show as well that the continuous time weak Galerkin finite
element method preserves the energy conservation law. The optimal convergence order estimates
in both $H^1$ and $L^2$ norms are obtained. Numerical experiments are performed to confirm the
theoretical results.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/451.html}
}