14 citations · 16 across the 4 of their papers we have counts for
6 papers
Error analysis for the approximation of a flow in deformable porous media with nonlinear strain-stress relation
Andrea Bonito, Vivette Girault, Diane Guignard
We study a model describing the slow flow of a fluid through a deformable, porous, elastic solid undergoing small deformations. The stress-strain relationship of the solid incorpor…
A vertex scheme for two-phase flow in heterogeneous media
M. S. Joshaghani, V. Girault, B. Riviere
This paper presents the numerical solution of immiscible two-phase flows in porous media, obtained by a first-order finite element method equipped with mass-lumping and flux up-win…
Finite Element Approximation of Steady Flows of Colloidal Solutions
Andrea Bonito, Vivette Girault, Diane Guignard +2
We consider the mathematical analysis and numerical approximation of a system of nonlinear partial differential equations that arises in models that have relevance to steady isocho…
Convergence of a finite element method for degenerate two-phase flow in porous media
Girault Vivette, Riviere Beatrice, Cappanera Loic
A finite element method with mass-lumping and flux upwinding, is formulated for solving the immiscible two-phase flow problem in porous media. The method approximates directly the…
Finite Element Approximation of a Strain-Limiting Elastic Model
Andrea Bonito, Vivette Girault, Endre Süli
We construct a finite element approximation of a strain-limiting elastic model on a bounded open domain in , . The sequence of finite element approxima…
Continuity properties of the inf-sup constant for the divergence
Christine Bernardi, Martin Costabel, Monique Dauge +1
The inf-sup constant for the divergence, or LBB constant, is explicitly known for only few domains. For other domains, upper and lower estimates are known. If more precise values a…