@Article{IJNAM-17-1,
author = {Ye, Xiu and Zhang, Shangyou},
title = {A Conforming Discontinuous Galerkin Finite Element Method},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2020},
volume = {17},
number = {1},
pages = {110--117},
abstract = {<p style="text-align: justify;">A new finite element method with discontinuous approximation is introduced for
solving second order elliptic problem. Since this method combines the features of both conforming finite element method and discontinuous Galerkin (DG) method, we call it conforming DG
method. While using DG finite element space, this conforming DG method maintains the features
of the conforming finite element method such as simple formulation and strong enforcement of
boundary condition. Therefore, this finite element method has the flexibility of using discontinuous approximation and simplicity in formulation of the conforming finite element method. Error
estimates of optimal order are established for the corresponding discontinuous finite element approximation in both a discrete $H$<sup>1</sup> norm and the $L$<sup>2</sup> norm. Numerical results are presented to
confirm the theory.</p>},
issn = {2617-8710},
doi = {https://doi.org/2020-IJNAM-13643},
url = {https://global-sci.com/article/83011/a-conforming-discontinuous-galerkin-finite-element-method}
}