Stabilization of Galerkin approximations of transport equations by subgrid modeling. (English) Zbl 0946.65112

Guermond, Jean-Luc

M2AN, Math. Model. Numer. Anal. 33, No. 6, 1293-1316 (1999).

Author’s abstract: This paper presents a stabilization technique for approximating transport equations. The key idea consists in introducing an artificial diffusion based on a two-level decomposition of the approximation space. The technique is proved to have stability and convergence properties that are similar to that of the streamline diffusion method.

Reviewer: Thomas Sonar (Braunschweig)

MSC:

65N30	Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N12	Stability and convergence of numerical methods for boundary value problems involving PDEs
35J25	Boundary value problems for second-order elliptic equations

Keywords:

subgrid modeling; stabilization; transport equations; artificial diffusion; stability; convergence; streamline diffusion method