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- Title
Penalty-free discontinuous Galerkin methods for incompressible Navier-Stokes equations.
- Authors
Riviere, Beatrice; Sardar, Shirin
- 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.
- Subjects
PENALTY boxes; GALERKIN methods; NUMERICAL analysis; INCOMPRESSIBLE flow; NAVIER-Stokes equations; STEADY-state flow
- Publication
Mathematical Models & Methods in Applied Sciences, 2014, Vol 24, Issue 6, p1217
- ISSN
0218-2025
- Publication type
Article
- DOI
10.1142/S0218202513500826