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- Adimurthi, Jérôme Jaffré, G. D. Veerappa Gowda
- SIAM J. Numerical Analysis
- 2004

Abstract. Scalar conservation laws with a flux function discontinuous in space are approximated using a Godunov-type method for which a convergence theorem is proved. The case where the flux… (More)

- Vincent Martin, Jérôme Jaffré, 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 are… (More)

- Clarisse Alboin, Jérôme Jaffré, 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 with… (More)

- Guy Chavent, Jérôme Jaffré
- 2001

When estimating hydraulic transmissivity the question of parameterization is of great importance. The transmissivity is assumed to be a piecewise constant space dependent function and the unknowns… (More)

- Siddhartha Mishra, Jérôme Jaffré
- ArXiv
- 2008

When neglecting capillarity, two-phase incompressible flow in porous media is modelled as a scalar nonlinear hyperbolic conservation law. A change in the rock type results in a change of the flux… (More)

- Thao-Phuong Hoang, Jérôme Jaffré, 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-dependent… (More)

- Jérôme Jaffré, Le Chesnay Cédex

When neglecting capillary effects, two-phase flow in porous media is modelled by a nonlinear hyperbolic equation. We consider the case where there is a discontinuity in the medium. Then the flux… (More)

- Amel Sboui, Jérôme Jaffré, 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 optimal… (More)

- Jérôme Jaffré, Amel Sboui
- 2009

For a two-phase (liquid-gas) two-component (water-hydrogen) system we discuss the formulation of the possible dissolution of hydrogen in the liquid phase. The problem is formulated as a set of… (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 is… (More)