Title
Discontinuous Galerkin methods for the incompressible flow with nonlinear leak boundary conditions of friction type.
Abstract
This work aims at employing the discontinuous Galerkin (DG) methods for the incompressible flow with nonlinear leak boundary conditions of friction type, whose continuous variational problem is an inequality due to the subdifferential property of such boundary conditions. Error estimates are derived for the velocity and pressure in the corresponding norms, this work ends with numerical results to demonstrate the theoretically predicted convergence orders and reflect the leak or non-leak phenomena.
Year
DOI
Venue
2017
10.1016/j.aml.2017.03.017
Applied Mathematics Letters
Keywords
Field
DocType
Stokes equations,Variational inequality,DG methods,Error estimates
Convergence (routing),Discontinuous Galerkin method,Boundary value problem,Mathematical optimization,Nonlinear system,Leak,Mathematical analysis,Subderivative,Incompressible flow,Mathematics,Variational inequality
Journal
Volume
ISSN
Citations 
73
0893-9659
0
PageRank 
References 
Authors
0.34
5
4
Name
Order
Citations
PageRank
Feifei Jing142.86
Jian Li211215.18
Zhang-Xin Chen334767.13
Yan Wenjing465.89