A compact cell-centered Galerkin method with subgrid stabilization

A compact cell-centered Galerkin method with subgrid stabilization

In this work we propose a compact cell-centered Galerkin method with subgrid stabilization for anisotropic heterogeneous di usion problems on general meshes. Both essential theoretical results and numerical validation are provided.

Stabilization of Galerkin approximations of transport equations by subgrid modeling

This paper présents a stabilization technique for approximating transport équations. The key idea consists in introducing an artificial diffusion based on a two-level décomposition of the approximation space. The technique is proved to have stability and convergence properties that are similar to that of the streamline diffusion method. AMS Subject Classification. 35L50, 65N30. Received: Februa...

Cell centered Galerkin methods

A Subgrid Viscosity Lagrange-galerkin Method for Convection-diffusion Problems

Abstract. We present and analyze a subgrid viscosity Lagrange-Galerkin method that combines the subgrid eddy viscosity method proposed in W. Layton, A connection between subgrid scale eddy viscosity and mixed methods. Appl. Math. Comp., 133: 147-157, 2002, and a conventional Lagrange-Galerkin method in the framework of P1⊕ cubic bubble finite elements. This results in an efficient and easy to i...

Discontinuous Galerkin Subgrid Finite Element Method for Heterogeneous Brinkman's Equations

We present a two-scale finite element method for solving Brinkman’s equations with piece-wise constant coefficients. This system of equations model fluid flows in highly porous, heterogeneous media with complex topology of the heterogeneities. We make use of the recently proposed discontinuous Galerkin FEM for Stokes equations by Wang and Ye in [12] and the concept of subgrid approximation deve...