Discontinuous Galerkin (DG) Finite Element Method for the Improved Stokes Equations

Shu Hua Zhang; Xiao Jing Yuan; Qian Yin

doi:10.4028/www.scientific.net/AMR.250-253.291

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 250-253Discontinuous Galerkin (DG) Finite Element Method...

Discontinuous Galerkin (DG) Finite Element Method for the Improved Stokes Equations

Abstract:

In this paper, firstly, discontinuous Galerkin method for improved Stokes equation is proposed. We derive a discontinuous Galerkin (DG) finite element formulation for the improved Stokes equations. Special case of the generalized solution equation for linear and stationary improved Stokes equations retrogresses into generalized solution equation for classical Stokes equation. It is proved that the classical solution and the generalized solution is consistent for the improved Stokes equations, existence and uniqueness of generalized solution for the improved Stokes equations are also proved.

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Periodical:

Advanced Materials Research (Volumes 250-253)

Pages:

291-297

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.250-253.291

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Online since:

May 2011

Authors:

Shu Hua Zhang, Xiao Jing Yuan, Qian Yin

Keywords:

Discontinuous Galerkin Method, Finite Element Model (FEM), Improved Stokes Equations

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