A Wavelet Based Adaptive Discontinuous Galerkin Method for Incompressible Flows

2017 ◽  
pp. 207-215 ◽  
Author(s):  
Brijesh Pinto ◽  
Marta de la Llave Plata ◽  
Eric Lamballais
Keyword(s):  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Incompressible Flows

BUBBLE STABILIZED DISCONTINUOUS GALERKIN METHOD FOR STOKES' PROBLEM

2010 ◽  
Vol 20 (02) ◽  
pp. 297-313 ◽  
Author(s):  
ERIK BURMAN ◽  
BENJAMIN STAMM
Keyword(s):  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Laplace Operator ◽  
Discontinuous Galerkin Method ◽  
Incompressible Flows ◽  
Stokes Problem ◽  
Local Conservation ◽  
Convergence Estimates ◽  
The Laplace Operator ◽  
Velocity Pressure

We propose a low order discontinuous Galerkin method for incompressible flows. Stability of the discretization of the Laplace operator is obtained by enriching the space elementwise with a non-conforming quadratic bubble. Several possible pressure spaces that lead to uniformly stable velocity pressure pairs are proposed. We prove optimal convergence estimates and local conservation of both mass and linear momentum independent of numerical parameters.

An implicit high-order discontinuous Galerkin method for steady and unsteady incompressible flows

2007 ◽  
Vol 36 (10) ◽  
pp. 1529-1546 ◽  
Author(s):  
Francesco Bassi ◽  
Andrea Crivellini ◽  
Daniele A. Di Pietro ◽  
Stefano Rebay
Keyword(s):  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Incompressible Flows ◽  
High Order
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