@Article{CiCP-22-202,
author = {Wang , ShuqinDeng , WeihuaYuan , Jinyun and Wu , Yujiang},
title = {Characteristic Local Discontinuous Galerkin Methods for Incompressible Navier-Stokes Equations},
journal = {Communications in Computational Physics},
year = {2019},
volume = {22},
number = {1},
pages = {202--227},
abstract = {<p style="text-align: justify;">By combining the characteristic method and the local discontinuous Galerkin
method with carefully constructing numerical fluxes, variational formulations are established for time-dependent incompressible Navier-Stokes equations in R<sup>2</sup>. The nonlinear stability is proved for the proposed symmetric variational formulation. Moreover, for general triangulations the priori estimates for the L<sup>2</sup>−norm of the errors in
both velocity and pressure are derived. Some numerical experiments are performed to
verify theoretical results.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.220515.031016a},
url = {http://global-sci.org/intro/article_detail/cicp/13353.html}
}