Analysis of an SDG Method for the Incompressible Navier--Stokes Equations
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AbstractIn this paper, we analyze a staggered discontinuous Galerkin (SDG) method for the incompressible Navier--Stokes equations. The method is based on a novel splitting of the nonlinear convection term and results in a skew-symmetric discretization of it. As a result, the SDG discretization has a better conservation property and numerical stability property. The aim of this paper is to develop a mathematical theory for this method. In particular, we will show that the SDG method is well-posed and has an optimal rate of convergence. A superconvergence result will also be shown.
All Author(s) ListEric T. Chung, Weifeng Qiu
Journal nameSIAM Journal on Numerical Analysis
Volume Number55
Issue Number2
Pages543 - 569
LanguagesEnglish-United States
KeywordsSDG, Navier–Stokes equations

Last updated on 2020-07-08 at 00:48