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Article dans une revue

A priori error estimates for finite element methods for H(2;1)-elliptic equations

Thomas Apel, T. Flaig, Serge Nicaise, Thomas G Flaig

The convergence of finite element methods for linear elliptic boundary value problems of second and forth order is well understood. In this article, we introduce finite element approximations of some linear semi-elliptic boundary value problem of mixed order on a two-dimensional rectangular domain…

Numerical Functional Analysis and Optimization, 2014, 35 (2), pp.153-176. ⟨10.1080/01630563.2013.811600⟩. ⟨hal-03138800⟩

Article dans une revue

Algebraic-trigonometric Pythagorean-hodograph curves and their use for Hermite interpolation

Lucia Romani, Laura Saini, Gudrun Albrecht

In this article we define a new class of Pythagorean-Hodograph curves built-upon a six-dimensional mixed algebraic-trigonometric space, we show their fundamental properties and compare them with their well-known quintic polynomial counterpart. A complex representation for these curves is introduced…

Advances in Computational Mathematics, 2014, 40 (5-6), pp.977-1010. ⟨10.1007/s10444-013-9338-8⟩. ⟨hal-03151851⟩

Article dans une revue

Exponential stability of a network of serially connected Euler–Bernoulli beams

Denis Mercier, Virginie Régnier

The aim is to prove the exponential stability of a system modelling the vibrations of a network of N Euler–Bernoulli beams serially connected. Using a result given by K. Ammari and M. Tucsnak, the problem is reduced to the estimate of a transfer function and the obtention of an observability…

International Journal of Control, 2014, 87 (6), pp.1266-1281. ⟨10.1080/00207179.2013.874597⟩. ⟨hal-03163679⟩

Article dans une revue

Weakly locally thermal stabilization of Bresse systems

Nadine Najdi, Ali Wehbe

Fatori and Rivera [7] studied the stability of the Bresse system with one distributed temperature dissipation law operating on the angle displacement equation. They proved that, in general, the energy of the system does not decay exponentially and they established the rate of t-1/3. In this article…

Electronic Journal of Differential Equations, 2014, 2014 (182), pp.1-19. ⟨hal-03163821⟩

Article dans une revue

Weighted analytic regularity in polyhedra

Martin Costabel, Monique Dauge, Serge Nicaise

We explain a simple strategy to establish analytic regularity for solutions of second order linear elliptic boundary value problems. The abstract framework presented here helps to understand the proof of analytic regularity in polyhedral domains given in "http://hal.archives-ouvertes.fr/hal-…

Computers & Mathematics with Applications, 2014, 67 (4), pp.807-817. ⟨10.1016/j.camwa.2013.03.006⟩. ⟨hal-00735620v2⟩

Article dans une revue

Decomposable affine hypersurfaces

Miroslava Antić, Franki Dillen, Kristof Schoels, Luc Vrancken

In affine differential geometry, Calabi discovered how to associate a new hyperbolic affine hypersphere with two hyperbolic affine hyperspheres. This was later generalized by Dillen and Vrancken in order to obtain a large class of examples of equiaffine homogeneous affine hypersurfaces. Note that…

Kyushu Journal of Mathematics, 2014, 68 (1), pp.93-103. ⟨hal-03228108⟩

Article dans une revue

Stochastic Runge-Kutta methods with the constant elasticity of variance (CEV) diffusion model for pricing option

Rajae Aboulaich, Abdelilah Jraifi, Medarhri Ibtissam

In order to solve numerically the constant elasticity of variance (CEV) model for pricing of European call option, we propose in this work the Stochastic Runge-Kutta method. We compare the obtained results using this approache, with those given by the Monte Carlo method in Broadie-Kaya [4]. Further…

Int. J. Math. Anal. , 2014, 8 (18), pp.849-856. ⟨10.12988/ijma.2014.4381⟩. ⟨hal-03135016⟩

Article dans une revue

Isotropic affine hypersurfaces of dimension 5

Olivier Birembaux, Luc Vrancken

We study affine hypersurfaces M which have isotropic difference tensor. Note that any surface always has isotropic difference tensor. Therefore, we may assume that n > 2. Such hypersurfaces have previously been studied by the first author and M. Djoric in [1] under the additional assumption that…

Journal of Mathematical Analysis and Applications, 2014, 417 (2), pp.918-962. ⟨10.1016/j.jmaa.2014.03.071⟩. ⟨hal-03233808⟩

Article dans une revue

Lighter tableware ceramic by controlling porosity: Effect of porosity on mechanical properties

Benjamin Verhaeghe, Christian Courtois, F. Petit, F. Cambier, Jean-Dominique Guerin, Anne Leriche, Stuart Hampshire

Reduction in weight of ceramics has been achieved by using a specific porous agent, starch, to achieve porosity ranging from 10% to 35%. Two incorporation routes of the porous agent have been investigated. For different levels of weight reduction, ceramics are characterized by microstructural…

Ceramics International, 2014, 40 (1), pp.763-770. ⟨10.1016/j.ceramint.2013.06.066⟩. ⟨hal-03448297⟩

Article dans une revue

Stabilization of the wave equation in a polygonal domain with cracks

Gilbert Bayili, Serge Nicaise

The stabilization of the wave equation in a polygonal domain with cracks is analyzed. Using the multiplier method, we show that a boundary stabilization augmented by an internal one concentrated in a small neighbourhood of the cracks lead to the exponential stability of the problem.

Revista Matematica Complutense, 2014, 27 (1), pp.259-289. ⟨10.1007/s13163-012-0113-z⟩. ⟨hal-03133116⟩