Title :
Lagrange-Galerkin Discontinuous Finite Element Methods for the Navier-Stokes Equations
Author :
Yan, Luo ; You-cai, Xu
Author_Institution :
Sch. of Math. Sci., Univ. of Electron. Sci. & Technol., Chengdu, China
Abstract :
In this paper, Lagrange-Galerkin discontinuous finite element method is introduced for time dependent Navier-Stokes equations. The method is stable for Pl /Pl and Pl /Pl-1, l ≥ 1 combination of discontinuous discrete velocity and pressure spaces (without requiring the discrete inf-sup condition). Optimal error estimates are proved in the framework of L2-theory.
Keywords :
Navier-Stokes equations; finite element analysis; numerical stability; Lagrange-Galerkin discontinuous finite element method; Navier-Stokes equation; discontinuous discrete velocity; discontinuous pressure space; optimal error estimation; Approximation methods; Equations; Finite element methods; Moment methods; Navier-Stokes equations; Stability analysis; Lagrange-Galerkin method; Mixed discontinus finite element methods; Navier-Stokes equations;
Conference_Titel :
Computational and Information Sciences (ICCIS), 2010 International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-8814-8
Electronic_ISBN :
978-0-7695-4270-6
DOI :
10.1109/ICCIS.2010.75
