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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⟩

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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⟩

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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

Optimal stopping and stochastic control differential games for jump diffusions

Fouzia Baghery, Sven Haadem, Bernt Oksendal, Isabelle Turpin

We study stochastic differential games of jump diffusions driven by Brownian motions and compensated Poisson random measures, where one of the players can choose the stochastic control and the other player can decide when to stop the system. We prove a verification theorem for such games in terms…

Stochastics: An International Journal of Probability and Stochastic Processes, 2013, 85 (1), pp.85-97. ⟨10.1080/17442508.2011.652116⟩. ⟨hal-03149926⟩

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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⟩

Article dans une revue

Robust residual a posteriori error estimators for the Reissner-Mindlin eigenvalues system

Emmanuel Creusé, Serge Nicaise, Emmanuel Verhille

We consider a conforming finite element approximation of the Reissner-Mindlin eigenvalue system, for which a robust a posteriori error estimator for the eigenvector and the eigenvalue errors is proposed. For that purpose, we first perform a robust a priori error analysis without strong regularity…

Journal of Numerical Mathematics, 2013, 21 (2), pp.89-134. ⟨10.1515/jnum-2013-0004⟩. ⟨hal-00777682v2⟩

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Time-domain study of the Drude–Born–Fedorov model for a class of heterogeneous chiral materials

Serge Nicaise

We deal with the well-posedness of the transient Maxwell equations in a particular class of heterogeneous isotropic chiral material modeled by the Drude-Born-Fedorov constitutive relations with different boundary conditions. A new formulation of the underlying evolution problems allows us to…

Mathematical Methods in the Applied Sciences, 2013, 36 (7), pp.794-813. ⟨10.1002/mma.2627⟩. ⟨hal-03163846⟩

Article dans une revue

A Resonant-Superlinear Elliptic Problem Revisited

Mabel Cuesta, Colette De Coster

We consider the resonant-superlinear elliptic problem−∆u=λ1u+(u+)q+f(x), withDirichlet boundary conditions on a bounded regular domain ofRN. We assume that 1<q<N+1N−1,f∈Ls(Ω) withs>Nsatisfies∫Ωfφ1<0 and (λ1,φ1) is the first eigenpair of−∆onH10(Ω). We apply a non-well ordered lower and…

Advanced Nonlinear Studies, 2013, 13 (1), pp.97-114. ⟨10.1515/ans-2013-0106⟩. ⟨hal-03137546⟩

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A locking-free discontinuous Galerkin method for linear elasticity in locally nearly incompressible heterogeneous media

Daniele Antonio Di Pietro, Serge Nicaise

In this work we consider the problem of numerical locking in composite materials featuring quasi-incompressible and compressible sections. More specifically, we start by extending a classical regularity estimate for the $H^1$-norm of the divergence of the displacement field to the heterogeneous…

Applied Numerical Mathematics: an IMACS journal, 2012, 63, pp.105-116. ⟨10.1016/j.apnum.2012.09.009⟩. ⟨hal-00685020⟩