Cell centered Galerkin methods

Daniele Antonio Di Pietro (1)

1 IFPEN - IFP Energies nouvelles

In this work we propose a new approach to obtain and analyze lowest order methods for diffusive problems yielding at the same time convergence rates and convergence to minimal regularity solutions. The approach merges ideas from Finite Volume and discontinuous Galerkin methods.

Mots clés: Finite volume methods; discontinuous Galerkin methods

Domaines: Analyse numérique [math.NA]

Daniele Antonio Di Pietro. Cell centered Galerkin methods. Comptes Rendus. Mathématique, 2010, 348 (1-2), pp.31-34. ⟨10.1016/j.crma.2009.11.012⟩. ⟨hal-00398782v3⟩