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Article dans une revue

Residual and Equilibrated Error Estimators for Magnetostatic Problems Solved by Finite Element Method

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

In finite element computations, the choice of the mesh is crucial to obtain accurate solutions. In order to evaluate the quality of the mesh, a posteriori error estimators can be used. In this paper, we develop residual-based error estimators for magnetostatic problems with both classical…

IEEE Transactions on Magnetics, 2013, 49 (12), pp.5715-5723. ⟨10.1109/TMAG.2013.2271993⟩. ⟨hal-00910314⟩

Article dans une revue

Robust Approximation of Singularly Perturbed Delay Differential Equations by the hp Finite Element Method

Serge Nicaise, Xenophontos Christos

Abstract. We consider the finite element approximation of the solution to a singularly perturbed second order differential equation with a constant delay. The boundary value problem can be cast as a singularly perturbed transmission problem, whose solution may be decomposed into a smooth part, a…

Computational Methods in Applied Mathematics, 2013, 13 (1), pp.21-37. ⟨10.1515/cmam-2012-0001⟩. ⟨hal-03212509⟩

Article dans une revue

DIELECTRIC AND PIEZOELECTRIC PROPERTIES OF LEAD-FREE ( Bi 0.5 Na 0.5 ) 0.94 Ba 0.06 TiO 3 + x% Ce 2 O 3 + y% La 2 O 3 + z% Y 2 O 3 COMPOUNDS SYNTHESIZED BY SOL–GEL TECHNIQUE

A. Chaouchi, M. Saidi, Sophie d'Astorg, Mohamed Rguiti, Christian Courtois

( Bi 0.5 Na 0.5 ) 0.94 Ba 0.06 TiO 3 + x% Ce 2 O 3 + y% La 2 O 3 + z% Y 2 O 3 compounds (named BNT–BT– x/y/z) were synthesized by a sol–gel technique, for (x,y,z) = (0,0,0), (0.25, 0.25, 0.25), (0.25, 0.5, 0.5), (0.5, 0.25, 0.25) and (0.5, 0.5, 0.25). The structural variation according to the…

Journal of Advanced Dielectrics, 2013, 02 (04), pp.1250022. ⟨10.1142/S2010135X12500221⟩. ⟨hal-04281123⟩

Chapitre d'ouvrage

Prediction of Long-Term Chemical Evolution of a Low-pH Cement Designed for Underground Radioactive Waste Repositories

Thi Thuy Ha Bach, Isabelle Pochard, Céline Cau-Dit-Coumes, Cyrille Mercier, André Nonat

Low-pH cements, also referred as low-alkalinity cements, are binders with a pore solution pH ≤ 11. They can be designed by replacing significant amounts of Portland cement (OPC) (≥40 %) by silica fume, which can be associated in some cases to low-CaO fly ash and/or ground granulated blast furnace…

Cement-Based Materials for Nuclear Waste Storage, Springer, pp.239-249, 2013, 9781489989680. ⟨10.1007/978-1-4614-3445-0_21⟩. ⟨hal-03065972⟩

Article dans une revue

On Riemann and Weyl compatible tensors

Ryszard Deszcz, Małgorzata Głogowska, Jan Jełowicki, Miroslava Petrović-Torgašev, Georges Zafindratafa

We investigate semi-Riemannian manifolds satisfying some curvature conditions. Those conditions are strongly related to pseudosymmetry.

Publications de l'Institut Mathématique., 2013, 94 (108), pp.111-124. ⟨10.2298/PIM1308111D⟩. ⟨hal-03146560⟩

Article dans une revue

The ternary commutator obstruction for internal crossed modules

T. Vanderlinden, Manfred Hartl

In finitely cocomplete homological categories, co-smash products give rise to (possibly higher-order) commutators of subobjects. We use binary and ternary co-smash products and the associated commutators to give characterisations of internal crossed modules and internal categories, respectively.…

Advances in Mathematics, 2013, 232, pp.571-607. ⟨10.1016/j.aim.2012.09.024⟩. ⟨hal-03234974⟩

Article dans une revue

Curvature inequalities for Lagrangian submanifolds

B.-Y. Chen, F. Dillen, J. van Der Veken, Luc Vrancken

Let M-n be an n-dimensional Lagrangian submanifold of a complex space form (M-n) over tilde (4c) of constant holomorphic sectional curvature 4c. We prove a pointwise inequality delta(n(1),...,n(k)) <= a(n,k,n(1),...n(h))parallel to H parallel to(2) + b(n,k,n(1),...n(k))c, with on the left-hand…

Differential Geometry and its Applications, 2013, 31 (6), pp.808-819. ⟨10.1016/j.difgeo.2013.09.006⟩. ⟨hal-03233905⟩

Article dans une revue

A posteriori error estimator based on gradient recovery by averaging for convection-diffusion-reaction problems approximated by discontinuous Galerkin methods

Emmanuel Creusé, Serge Nicaise

We consider some (anisotropic and piecewise constant) convection-diffusion-reaction problems in domains of R2, approximated by a discontinuous Galerkin method with polynomials of any degree. We propose two a posteriori error estimators based on gradient recovery by averaging. It is shown that these…

IMA Journal of Numerical Analysis, 2013, 33 (1), pp.212-241. ⟨10.1093/imanum/drr052⟩. ⟨hal-00531621⟩

Article dans une revue

Robustness study and reliability growth based on exploratory design of experiments and statistical analysis: a case study using a train door test bench

Laurent Cauffriez, Pierre Loslever, Nathalie Caouder, Fabien Turgis, Reynald Copin

This paper presents a methodology to improve the reliability/robustness of a complex mechatronic system for passenger access, which is greatly stressed over its life cycle. The proposed methodology aims to weed out design problems during the development phase and to test the robustness of the…

International Journal of Advanced Manufacturing Technology, 2013, 66 (1-4), pp.27-44. ⟨10.1007/s00170-012-4303-0⟩. ⟨hal-03135718⟩

Article dans une revue

Exponential stability of the wave equation on a star shaped network with indefinite sign damping

Farah Abdallah, Denis Mercier, Serge Nicaise

In this paper, we study the stability of the wave equation on a star shaped network in the presence of indefinite sign damping terms. Extending the results of Freitas and Zuazua in [13], we search for sufficient conditions on the damping coefficients for which the problem becomes exponentially…

Palest. J. Math, 2013, 2 (2), pp.113-143. ⟨hal-03134884⟩