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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

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⟩

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

Classes de Steinitz d'extensions galoisiennes à groupe de Galois un 2-groupe

Bouchaïb Sodaïgui

Let k be a number field and Cl(k) its class group. Let Γ be a finite group and |Γ | its order. Let R(k,Γ) (resp. Rm(k,Γ)) be the subset of Cl(k) consisting of those classes which are realizable as Steinitz classes of Galois extensions (resp. tamely ramified Galois extensions) of k with Galois group…, Soient k un corps de nombres et Cl(k) son groupe de classes. Soient Γ un groupe fini et |Γ | son ordre. Soit R(k,Γ) (resp.Rm(k,Γ)) le sous-ensemble de Cl(k) formé par les éléments qui sont réalisables par les classes de Steinitz d’extensions galoisiennes (resp. galoisiennes et modérément ramifiées…

Functiones et Approximatio Commentarii Mathematici, 2013, 48 (2), ⟨10.7169/facm/2013.48.2.2⟩. ⟨hal-03184707⟩

Article dans une revue

Residual Based a Posteriori Error Estimators for Harmonic A/φ and T/Ω Formulations in Eddy Current Problems

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

For eddy current problems, potential formulations are widely used nowadays. In this paper, residual based a posteriori error estimators are introduced to evaluate the discretization error in the finite element calculation in both case of A /φ and T /Ω harmonic formulations. A device with eddy…

IEEE Transactions on Magnetics, 2013, 49 (5), pp.1721-1724. ⟨10.1109/TMAG.2013.2241408⟩. ⟨hal-00910319⟩

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Development of superhydrophilic and superhydrophobic polyester fabric by growing Zinc Oxide nanorods

Anne Perwuelz, Munir Ashraf, Christine Campagne, Philippe Champagne, Anne Leriche, Christian Courtois

ZnO nanorods were grown on microfibers of Polyethylene terephthalate (PET) fabric by seeding method to develop hierarchical roughness structure. XRD and XPS analysis show the presence of crystalline ZnO and chemical Zn species at the fiber surface at each stage of the process. Five series of…

Journal of Colloid and Interface Science, 2013, 394, pp.545-553. ⟨10.1016/j.jcis.2012.11.020⟩. ⟨hal-03033269⟩

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On actions and strict actions in homological categories

Manfred Hartl, Bruno Loiseau

Let $G$ be an object of a finitely cocomplete homological category $\mathbb C$. We study actions of $G$ on objects $A$ of $\mathbb C$ (defined by Bourn and Janelidze as being algebras over a certain monad $\mathbb T_G$), with two objectives: investigating to which extent actions can be described in…

Theory and Applications of Categories, 2013, 27 (15), pp.347-392. ⟨hal-03149616⟩

Article dans une revue

Classes de Steinitz dʼextensions galoisiennes à groupe de Galois de centre non trivial

Bouchaïb Sodaïgui

Let k be a number field and Cl(k) its class group. Let Γ be a finite group and |Γ| its order. Let R(k, Γ) (resp. R m(k, Γ)) be the subset of Cl(k) consisting of those classes which are realizable as Steinitz classes of Galois extensions (resp. tamely ramified Galois extensions) of k with Galois…

Journal of Number Theory, 2013, 133 (2), pp.611-619. ⟨10.1016/j.jnt.2012.08.015⟩. ⟨hal-03187571⟩

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On Some Holomorphic Cohomological Equations

Aziz El Kacimi Alaoui

Let Σ be a non compact Riemann surface and γ:Σ⟶Σ an automorphism acting freely and properly such that the quotient M = Σ/γ is a non compact Riemann surface. Using the fact that Σ and M are Stein manifolds, we prove that, for any holomorphic function g:Σ⟶C and any λ∈C , there exists a holomorphic…

Results in mathematics = Resultate der Mathematik, 2013, 63 (1-2), pp.329-334. ⟨10.1007/s00025-011-0201-2⟩. ⟨hal-03148580⟩

Article dans une revue

Residual-based a posteriori estimators for the T/Omega magnetodynamic harmonic formulation of the Maxwell system

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

In this paper, we focus on an a posteriori residual-based error estimator for the T/Omega magnetodynamic harmonic formulation of the Maxwell system. Similarly to the A/Phi formulation, the weak continuous and discrete formulations are established, and the well-posedness of both of them is addressed…

International Journal of Numerical Analysis and Modeling, 2013, 10 (2), pp.411-429. ⟨10.1142/S021820251150028X⟩. ⟨hal-00777601⟩