TY - JOUR
T1 - Nonlinear Galerkin Method and Crank-Nicolson Method for Viscous Incompressible Flow
AU - He , Yin-Nian
AU - Li , Dong-Sheng
AU - Li , Kai-Tai
JO - Journal of Computational Mathematics
VL - 2
SP - 139
EP - 158
PY - 1999
DA - 1999/04
SN - 17
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9089.html
KW - Nonlinear Galerkin method, Crank-Nicolson method, Viscous incompressible flow.
AB - <p style="text-align: justify;">In this article we discuss a new full discrete scheme for the numerical solution of the Navier-Stokes equations modeling viscous incompressible flow. This scheme consists of nonlinear Galerkin method using mixed finite elements and Crank-Nicolson method. Next, we provide the second-order convergence accuracy of numerical solution corresponding to this scheme. Compared with the usual Galerkin scheme, this scheme can save a large amount of computational time under the same convergence accuracy. &nbsp;</p>