On the natural stabilization of convection dominated problems using high order Bubnov–Galerkin finite elements

Author:

Cai Q.,Kollmannsberger S.,Sala-Lardies E.,Huerta A.,Rank E.

Funder

Munich Centre of Advanced Computing

International Graduate School of Science and Engineering

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modelling and Simulation

Reference38 articles.

1. Streamline upwind Petrov–Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier–Stokes equations;Brooks;Computer Methods in Applied Mechanics and Engineering,1982

2. A new finite element formulation for computational fluid dynamics: I. Symmetric forms of the compressible Euler and Navier–Stokes equations and the second law of thermodynamics;Hughes;Computer Methods in Applied Mechanics and Engineering,1986

3. Local projection stabilization for the oseen problem and its interpretation as a variational multiscale method;Braack;SIAM Journal on Numerical Analysis,2006

4. Stabilization of local projection type applied to convection–diffusion problems with mixed boundary conditions;Matthies;Electronic Transactions on Numerical Analysis,2006

5. On the stability of finite-element discretizations of convection–diffusion–reaction equations;Knobloch;IMA Journal of Numerical Analysis,2011

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