Author(s)

A. Younes, R. Mose & P. Ackerer

Abstract

For the Darcy flow model, we show how to produce a scheme with one unknown per cell starting from a mixed formulation discretized with the Raviart Thomas triangular element of lowest order. The aim here is to obtain a new formulation with one unknown per cell. In the first part, we describe the triangular mixed finite element (MFE) method used for solving Darcy's and continuity equations. In the second part, we study the elliptic-parabolic problem. We describe the new formulation of the problem in order to use MFE with less unknowns obtained without any specific numerical integration. Along this work, we show that the new formulation can be seen as a general formulation which can be equivalent to

Keywords