Dual Raviart-Thomas mixed finite elements

François Dubois (1)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay

For an elliptic problem with two space dimensions, we propose to formulate the finite volume method with the help of Petrov-Galerkin mixed finite elementsthat are based on the building of a dual Raviart-Thomas basis.

Keywords: finite volumes; mixed finite elements; Petrov-Galerkin variational formulation; inf-sup condition; Poisson equation.; Poisson equation

Domains: Numerical Analysis [math.NA]

François Dubois. Dual Raviart-Thomas mixed finite elements. 2010. ⟨hal-00544394⟩