@Article{CiCP-22-1,
author = {Wang, Shuqin and Weihua, Deng and Yuan, Jinyun and Yujiang, Wu},
title = {Characteristic Local Discontinuous Galerkin Methods for Incompressible Navier-Stokes Equations},
journal = {Communications in Computational Physics},
year = {2017},
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 = {https://global-sci.com/article/80137/characteristic-local-discontinuous-galerkin-methods-for-incompressible-navier-stokes-equations}
}