Publications

• Article dans une revue

Convergence analysis of an hp finite element method for singularly perturbed transmission problems in smooth domains

Serge Nicaise, Xenophontos Christos

We consider a two-dimensional singularly perturbed transmission problem with two different diffusion coefficients, in a domain with smooth (analytic) boundary. The solution will contain boundary layers only in the part of the domain where the diffusion coefficient is high and interface layers along…

Numerical Methods for Partial Differential Equations, 2013, 29 (6), pp.2107-2132. ⟨10.1002/num.21793⟩. ⟨hal-03212516⟩

• Poster de conférence

Regularity results for elliptic problems with measure

Sadjiya Ariche, Colette De Coster, Serge Nicaise

In this work, we study the solution of the Laplace equation: \[ -\Delta u =g \delta_\sigma\;\;\;\hbox{ in } Q\subseteq \mathbb{R}^3, \] where \(\delta_\sigma\) is the Dirac mass on a crack \(\sigma\) of \(Q\) and \(g\in L^2(\sigma)\). First, we discuss the existence and the uniqueness of a solution…

Nord Pas-de-Calais/Belgium congress of mathematics, Oct 2013, Valenciennes, France. ⟨hal-03142664⟩

• Communication dans un congrès

Error estimation in the computation of induced currents of human body

T. Lelong, P. Thomas, C. Miry, I. Magne, Z. Tang, Yvonnick Le Menach, Francis Piriou, Riccardo Scorretti, Noël Burais, Emmanuel Creusé

CIGRE 3rd International Colloquium on Low Frequency Electric and Magnetic Fields (EMF-ELF-2013), Oct 2013, Nara, Japan. ⟨hal-00975877⟩

• Communication dans un congrès

Braided Geometry and its applications

Dimitri Gurevich

Conference "Frontiers and New Perspectives in Geometry and Physics", Oct 2013, Saint-Petersburg, Russia. ⟨hal-03155774⟩

• Communication dans un congrès

Geometric modeling of thick and closed surfaces : application to pelvic organs

Thierry Bay

Although surgery is often used to treat disorders coming from physiological changes in the spatial configuration of the pelvic organs, the process is poorly reproductible and controllable from one patient to another. The work described below consists in developping a realistic geometric modeling,…

19th IMACS World Congress, Aug 2013, San Lorenzo de El Escorial, Spain. ⟨hal-03132821⟩

• Article dans une revue

Effect of some thermal treatments on interface adhesion toughness of various thick thermal spray coatings

Didier Chicot, G. Marot, P. Araujo, N. Horny, Arnaud Tricoteaux, M. Staia, J. Lesage

Surface Engineering, 2013, 22 (5), pp.390-398. ⟨10.1179/174329406X126690⟩. ⟨hal-03577788⟩

• Article dans une revue

A posteriori error estimator for harmonic A‐φ formulation

Zuqi Tang, Yvonnick Le Menach, Emmanuel Creusé, Serge Nicaise, Francis Piriou, Nicolas Nemitz

Purpose - In this paper, the aim is to propose a residual-based error estimator to evaluate the numerical error induced by the computation of the electromagnetic systems using a finite element method in the case of the harmonic A-? formulation. Design/methodology/approach - The residual based error…

COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2013, 32 (4), pp.1219-1229. ⟨10.1108/03321641311317040⟩. ⟨hal-00910309⟩

• Article dans une revue

Processing and properties of biphasic calcium phosphates bioceramics obtained by pressureless sintering and hot isostatic pressing

Michel Descamps, Laurent Boilet, Gérard Moreau, Arnaud Tricoteaux, Jianxi Lu, Anne Leriche, Véronique Lardot, Francis Cambier

Calcium phosphate powders were obtained from coprecipitation method using diammonium phosphate and calcium nitrate solutions. The adjustment of experimental parameters and Ca/P initial ratio allowed synthesizing stoichiometric HA and β-TCP powders and four biphasic calcium phosphates (BCP) with…

Journal of the European Ceramic Society, 2013, 33 (7), pp.1263-1270. ⟨10.1016/j.jeurceramsoc.2012.12.020⟩. ⟨hal-03033125⟩

• Article dans une revue

Braided algebras and their applications to Noncommutative Geometry

Dimitri Gurevich, Pavel Saponov

We introduce the notion of a braided algebra and study some examples of these. In particular, R-symmetric and R-skew-symmetric algebras of a linear space V equipped with a skew-invertible Hecke symmetry R are braided algebras. We prove the “mountain property” for the numerators and denominators of…

Advances in Applied Mathematics, 2013, 51 (2), pp.228-253. ⟨10.1016/j.aam.2013.02.004⟩. ⟨hal-03155708⟩

• Communication dans un congrès

Reflection Equation Algebra and its applications to Noncommutative Geometry

Dimitri Gurevich

Reflection Equation Algebra (REA) is one of the central objects of Braided Geometry. By Braided Geometry I mean a theory related to a braiding, i.e. a solution to the Quantum Yang-Baxter Equation. I’ll exhibit properties of the REA related to different types of braidings. Also, I’ll explain the…

algebrabelfast2013 : Algebra, Combinatorics, Dynamics and Applications, Sep 2013, Belfast, Ireland. pp.228-253. ⟨hal-03155704⟩