Currently displaying 1 – 10 of 10

Showing per page

Order by Relevance | Title | Year of publication

Convergence of a finite element discretization of the Navier-Stokes equations in vorticity and stream function formulation

Mohamed AmaraChristine Bernardi — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

The standard discretization of the Stokes and Navier–Stokes equations in vorticity and stream function formulation by affine finite elements is known for its bad convergence. We present here a modified discretization, we prove that the convergence is improved and we establish error estimates.

Mixed finite element approximation for a coupled petroleum reservoir model

Mohamed AmaraDaniela Capatina-PapaghiucBertrand DenelPeppino Terpolilli — 2005

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

In this paper, we are interested in the modelling and the finite element approximation of a petroleum reservoir, in axisymmetric form. The flow in the porous medium is governed by the Darcy-Forchheimer equation coupled with a rather exhaustive energy equation. The semi-discretized problem is put under a mixed variational formulation, whose approximation is achieved by means of conservative Raviart-Thomas elements for the fluxes and of piecewise constant elements for the pressure and the temperature....

Mixed finite element approximation for a coupled petroleum reservoir model

Mohamed AmaraDaniela Capatina-PapaghiucBertrand DenelPeppino Terpolilli — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

In this paper, we are interested in the modelling and the finite element approximation of a petroleum reservoir, in axisymmetric form. The flow in the porous medium is governed by the Darcy-Forchheimer equation coupled with a rather exhaustive energy equation. The semi-discretized problem is put under a mixed variational formulation, whose approximation is achieved by means of conservative Raviart-Thomas elements for the fluxes and of piecewise constant elements for the pressure and the temperature....

Page 1

Download Results (CSV)