Comparative analysis of the performance of a enriched mixed finite ele- ment method with static condensation for Poisson problems
Palavras-chave:
Mixed finite elements, Poisson’s equation, Hdiv spaces, Balanced spaces, Static condensationResumo
The enriched mixed method is a variant of the mixed finite element method, obtained through a selection
and appropriate configuration of the shape functions in the space of flux approximation, increasing the order
of approximation just inside the elements, taking care of the balance with the space of approximation of the
potential. The purpose of this paper is to analyze this method in the context of the Poisson equation. For spaces
of approximation of various orders, we carry out numerical simulations considering two model problems: smooth
(low oscillation and low gradient) and strongly oscillatory, in quadrilateral meshes. We conclude that the enriched
mixed method of order p achieves a precision practically equivalent, with lower computational cost, to the mixed
method of order p + 1.
