A Convergent Post-processed Discontinuous Galerkin Method for Incompressible Flow with Variable Density

A Discontinuous Petrov-Galerkin Methodology for Incompressible Flow Problems

A High Order Discontinuous Galerkin Method for 2D Incompressible Flows

In this pat)er we introduce a high order discontinuous Galerkin method for two dimensional incoinpressible flow in vorticity streamfunction fornnllation. The inonlentuni equation is treated exl)licitly, utilizing the efficiency of the discontimtous Galerkin method. The streanlflmction is obtained by a standard Poiss(m solver using (:ontinu(lus finite elenmnts. There is a natural matching betwee...

A consistent and stabilized continuous/discontinuous Galerkin method for fourth-order incompressible flow problems

Article history: Received 27 March 2011 Accepted 3 May 2012 Available online 15 May 2012

The Local Discontinuous Galerkin Method for Linear Incompressible Fluid Flow: a Review

A locking-free and optimally convergent discontinuous-Galerkin-based extended finite element method for cracked nearly incompressible solids

For nearly incompressible elasticity, volumetric locking is a well-known phenomenon with low-order (cubic or lower) fi nite element method methods, of which continuous extended fi nite element methods (XFEMs) are no exception. We will present an XFEM that is simultaneously lock-free and optimally convergent. Based on our earlier work of an optimally convergent discontinuous-Galerkin-based XFEM,...