Mixed finite element methods for smooth domain formulation of crack problems

Z Belhachmi, JM Sac-Epée, J Sokolowski - SIAM Journal on Numerical …, 2005 - SIAM
The discretization by finite element methods of a new variational formulation of crack problems
is considered. The new formulation, called the smooth domain method, is derived for …

Integer transfinite diameter and polynomials with small Mahler measure

V Flammang, G Rhin, JM Sac-Épée - Mathematics of computation, 2006 - ams.org
In this work, we show how suitable generalizations of the integer transfinite diameter of some
compact sets in $\mathbb {C} $ give very good bounds for coefficients of polynomials with …

Integer Linear Programming applied to determining monic hyperbolic irreducible polynomials with integer coefficients and span less than 4

…, A Maul, G Rhin, JM Sac-Épée - Journal de théorie des …, 2013 - numdam.org
Dans ce travail, nous proposons une nouvelle méthode destinée à trouver des polynômes
unitaires irréductibles à racines réelles, à coefficients entiers, et dont le diamètre soit inférieur …

Short-range interactions between fibrocytes and CD8+ T cells in COPD bronchial inflammatory response

E Eyraud, E Maurat, JM Sac-Epée, P Henrot, M Zysman… - Elife, 2023 - elifesciences.org
Bronchi of chronic obstructive pulmonary disease (COPD) are the site of extensive cell
infiltration, allowing persistent contact between resident cells and immune cells. Tissue fibrocytes …

Approximation par la méthode des éléments finis de la formulation en domaine régulier de problemes de fissures

Z Belhachmi, JM Sac-Epee… - Comptes …, 2004 - comptes-rendus.academie-sciences …
Dans cette Note, nous présentons la discrétisation par différentes méthodes d’éléments
finis mixtes d’une nouvelle formulation variationnelle d’un problème de fissure. Cette …

Etude de problèmes d'homogénéisation définis sur des plaques minces perforées périodiquement

JM Sac-Epée - 1994 - hal.science
Dans la première partie de ce travail, nous nous intéressons à un problème d'évolution
défini sur une plaque mince perforée périodiquement. Nous faisons tendre l'épaisseur de la …

Numerical simulations of free convection about a vertical flat plate embedded in a porous medium

Z Belhachmi, B Brighi, JM Sac-Epee… - Computational …, 2003 - Springer
We consider the free convection about a vertical flat plate embedded in a porous medium
within the framework of a boundary layer approximation. In some cases, similarity solutions …

Dirichlet-to-Neumann semigroup acts as a magnifying glass

MA Cherif, T El Arwadi, H Emamirad, JM Sac-Epee - Semigroup Forum, 2014 - Springer
The first aim of this paper is to illustrate numerically that the Dirichlet-to-Neumann semigroup
represented by P. Lax acts as a magnifying glass. In this perspective, we used the finite …

[PDF][PDF] GPS: An efficient & spectrally accurate code for computing Gross-Pitaevskii equation

…, A Suzuki, JM Sac-Epée - ISC-2015, Research …, 2015 - researchgate.net
Sac-Epee(2) and A. Suzuki(3) Contact Information: (1) Laboratoire Jacques-Louis Lions,
email : parnaudeau@ann.jussieu.fr (2) InstitutElie Cartan de Lorraine, email : jean-marc.sac-epee@univ-lorraine.fr …

Probabilistic cellular automata modelling of intercellular interactions in airways: complex pattern formation in patients with chronic obstructive pulmonary disease

I Dupin, E Eyraud, É Maurat, JM Sac-Épée… - Journal of Theoretical …, 2023 - Elsevier
Chronic obstructive pulmonary disease (COPD) is a highly prevalent lung disease
characterized by chronic inflammation and tissue remodeling possibly induced by unusual …