Penalty-free discontinuous Galerkin methods for incompressible Navier–Stokes equations-Reference-Cited by-同舟云学术

Penalty-free discontinuous Galerkin methods for incompressible Navier–Stokes equations

Published:2014-03-28 Issue:06 Volume:24 Page:1217-1236
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

Riviere Beatrice¹,Sardar Shirin¹

Affiliation:

1. Department of Computational and Applied Mathematics, Rice University, 6100 Main Street MS 134, Houston, TX 77005, USA

Abstract

A first-order discontinuous Galerkin method is proposed for solving the steady-state incompressible Navier–Stokes equations. The stability of this penalty-free method is obtained by locally enriching the discrete space with a quadratic polynomial. A priori error estimates are derived. Numerical examples confirm the theoretical convergence.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202513500826

Reference22 articles.

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