-
Modeling Fractures and Barriers as Interfaces for Flow in Porous Media
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... -
A Comparison of Methods for Calculating the Matrix Block Source Term in a Dou...
Contaminant transport in a fractured porous medium can be modeled, under appropriate conditions, with a double porosity model. Such a model consists of a parabolic... -
Fictitious Domains, Mixed Finite Elements and Perfectly Matched Layers for 2D...
We design a new and efficient numerical method for the modelization of elastic wave propagation in domains with complex topographies. The first specificity is the use... -
On the Finite Volume Reformulation of the Mixed Finite Elements Method on Tri...
We analyse the finite volume reformulation of the triangular mixed finite element approximation for the porous flow equation, as proposed in [10] [9]. We show that the... -
Mixed Finite Elements, Strong Symmetry and Mass Lumping for Elastic Waves
We present here the continuation of our work on mixed finite elements for wave propagation problems. In a previous report, we constructed and analysed a new family of... -
Three-dimensional computation of a magnetic field by mixed finite elements an...
International audience -
A Finite-Element Method for Maxwell System Preserving Gauss Laws and Energy
We present a finite-element method for simulating the time domain Maxwell system in 3 dimensions for unstructured meshes. The geometrical approach of the equations of... -
Application of the PML Absorbing Layer Model to the Linear Elastodynamic Prob...
We present and analyze a perfectly matched absorbing layer model for the velocity-stress formulation of elastodynamics. This layer has the astonishing property of... -
Some New Mixed Finite Elements in View of the Numerical Solution of Time Depe...
We present the construction and the analysis of a new family of quadrangular (2D) or cubic (3D) mixed finite elements, leading to an explicit scheme (mass lumping) for... -
Adaptive inexact Newton methods for discretizations of nonlinear diffusion PD...
We consider nonlinear algebraic systems resulting from numerical discretizations of nonlinear partial differential equations of diffusion type. In order to solve them,... -
Mixed finite element discretization of a model for organic pollution in water...
We consider a mixed reaction diffusion system describing the organic pollution in stream-waters. It may be viewed as the static version of Streeter-Phelps equations... -
Spurious inertial oscillations in shallow-water models
International audience -
Perfectly Matched Layer with Mixed Spectral Elements for the Propagation of L...
International audience -
Convergence results of the fictitious domain method for a mixed formulation o...
International audience -
Space-time domain decomposition for mixed formulations of diffusion equations
International audience
