@Article{CiCP-19-393,
author = {Xia Ji, Hongrui Geng, Jiguang Sun and Liwei Xu},
title = {$C^0$IPG for a Fourth Order Eigenvalue Problem},
journal = {Communications in Computational Physics},
year = {2018},
volume = {19},
number = {2},
pages = {393--410},
abstract = {<p style="text-align: justify;">This paper concerns numerical computation of a fourth order eigenvalue
problem. We first show the well-posedness of the source problem. An interior penalty
discontinuous Galerkin method ($C^0$IPG) using Lagrange elements is proposed and its
convergence is studied. The method is then used to compute the eigenvalues. We show
that the method is spectrally correct and prove the optimal convergence. Numerical
examples are presented to validate the theory.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.131014.140715a},
url = {http://global-sci.org/intro/article_detail/cicp/11094.html}
}