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- Vincent Martin, JÃ©rÃ´me JaffrÃ©, Jean E. Roberts
- SIAM J. Scientific Computing
- 2005

We consider a fractured porous medium that is studied at a scale such that the fractures can be modeled individually. Models for flow in which the fractures are interfaces between subdomains areâ€¦ (More)

- Gary Cohen, Patrick Joly, Jean E. Roberts, Nathalie Tordjman
- SIAM J. Numerical Analysis
- 2001

Solving the wave equation by a C o finite element method requires to mass-lump the term in time of the variational f6rmulation in order to avoid the inversion of a n-diagonal symmetric matrix at eachâ€¦ (More)

Global error estimates in L2(Q), LÂ°Â°(Q), and H~S(Q), Q in R2 or R3, are derived for a mixed finite element method for the Dirichlet problem for the elliptic operator Lp = -div(a grad p + bp) + cpâ€¦ (More)

- Clarisse Alboin, JÃ©rÃ´me JaffrÃ©, Jean E. Roberts, Christophe Serres
- 2001

Fractures in a porous medium are considered individually and are supposed to be a porous medium of higher permeability than in the surrounding rock. Since their thickness is supposed to be small withâ€¦ (More)

- Amel Sboui, JÃ©rÃ´me JaffrÃ©, Jean E. Roberts
- SIAM J. Scientific Computing
- 2009

A new mixed finite element method on three-dimensional hexahedral meshes for second order elliptic problems is proposed. This finite element is a composite element. It is shown to have optimalâ€¦ (More)

- Thao-Phuong Hoang, Caroline Japhet, Michel Kern, Jean E. Roberts
- Mathematics and Computers in Simulation
- 2017

This paper is concerned with the numerical solution of porous-media flow and transport problems, i. e. heterogeneous, advection-diffusion problems. Its aim is to investigate numerical schemes forâ€¦ (More)

- Najla Frih, Jean E. Roberts, Ali SaÃ¢da
- 2008

In this report we are concerned with modeling single phase ow in a medium with known fractures. In particular we are interested in the case in which the ow rate in the fractures is large enough toâ€¦ (More)

- Thao-Phuong Hoang, JÃ©rÃ´me JaffrÃ©, Caroline Japhet, Michel Kern, Jean E. Roberts
- SIAM J. Numerical Analysis
- 2013

This paper is concerned with global-in-time, nonoverlapping domain decomposition methods for the mixed formulation of the diffusion problem. Two approaches are considered: one uses the time-dependentâ€¦ (More)

- C. Alboin, JÃ©rÃ´me JaffrÃ©, Jean E. Roberts, Xiaoxia Wang, Christophe Serres
- 2009

A variety of models is considered: one-phase flow in a porous medium, two-phase flow in a porous medium with two rock types, one-phase flow in a porous medium with fractures. For each of these modelsâ€¦ (More)

Finite volume methods and finite elements methods are generally opposed as competing approximation techniques. However there are ways to look at them which make these methods closer than what isâ€¦ (More)