Publications

• Communication dans un congrès

A guaranteed equilibrated error estimator for the harmonic A — φ formulation in eddy current problems

Roberta Tittarelli, Yvonnick Le Menach, Francis Piriou, Emmanuel Creusé, Serge Nicaise, Jean-Pierre Ducreux

IEEE Conference on Electromagnetic Field Computation, 2016, Miami, United States. ⟨hal-03166375⟩

• Article dans une revue

Residual-based a posteriori error estimates for a nonconforming finite element discretization of the Stokes–Darcy coupled problem: isotropic discretization

Serge Nicaise, Bernardin Ahounou, Wilfrid Koffi Houedanou

In this paper we develop an a posteriori error analysis of a nonconforming mixed finite element method for the coupling of fluid flow with porous media flow. The approach utilizes the same nonconforming Crouzeix–Raviart element discretization on the entire domain (Rui and Zhang, Comput Methods Appl…

Afrika Matematika, 2016, 27 (3), pp.701-729. ⟨10.1007/s13370-015-0370-3⟩. ⟨hal-03158714⟩

• Article dans une revue

A blow-up result in a nonlinear abstract evolution system with delay

Mohammad Kafini, Salim Messaoudi, Serge Nicaise

In this paper we consider a second-order abstract evolution system with delay. We show that, under suitable conditions on the initial data and the involved functionals, the energy of solutions blows up in finite-time. We also give some concrete examples to illustrate our main result.

Nonlinear Differential Equations and Applications, 2016, 23 (2), p. 1-14. ⟨10.1007/s00030-016-0371-4⟩. ⟨hal-03163602⟩

• Article dans une revue

Quantum geometry and quantization on U(u(2)) background. Noncommutative Dirac monopole

Dimitri Gurevich, Pavel Saponov

In our previous publications we introduced differential calculus on the enveloping algebras U (gl(m)) similar to the usual calculus on the commutative algebra Sym(gl(m)). The main ingredients of our calculus are quantum partial derivatives which turn into the usual partial derivatives in the…

Journal of Geometry and Physics, 2016, 106, pp.87-97. ⟨10.1016/j.geomphys.2016.03.007⟩. ⟨hal-03172942⟩

• Article dans une revue

On Chen Ideal Submanifolds Satisfying Some Conditions of Pseudo-symmetry Type

Ryszard Deszcz, Miroslava Petrović-Torgašev, Leopold Verstraelen, Georges Zafindratafa

In this paper, we study Chen ideal submanifolds Mn of dimension n in Euclidean spaces En+m (n≥4, m≥1) satisfying curvature conditions of pseudo-symmetry type of the form: the difference tensor R⋅C−C⋅R is expressed by some Tachibana tensors. Precisely, we consider one of the following three…

Bulletin of the Malaysian Mathematical Sciences Society, 2016, 39 (1), pp.103-131. ⟨10.1007/s40840-015-0164-7⟩. ⟨hal-03148398⟩

• Article dans une revue

An intuitive way for constructing parametric quadric triangles

Gudrun Albrecht, Marco Paluszny, Marianela Lentini

We present an intuitive algorithm for providing quadric surface design elements with shape parameters. To this end, we construct rational parametric triangular quadratic patches which lie on quadrics. The input of the algorithm is three vertex data points in 3D and normals at these points. It…

Journal of Computational and Applied Mathematics, 2016, 35 (2), pp.595-617. ⟨10.1007/s40314-014-0207-y⟩. ⟨hal-03228084⟩

• Article dans une revue

Existence and stability results for thermoelastic dipolar bodies with double porosity

M. Marin, Serge Nicaise

This paper is concerned with the theory of thermoelastic dipolar bodies which have a double porosity structure. In contrast with previous papers dedicated to classical elastic bodies, in our context the double porosity structure of the body is influenced by the displacement field, which is…

Continuum Mechanics and Thermodynamics, 2016, 28 (6), p. 1645- 1657. ⟨10.1007/s00161-016-0503-4⟩. ⟨hal-03163613⟩

• Article dans une revue

Lorentzian Isotropic Lagrangian Immersions

Franki Dillen, Luc Vrancken

In this note we are interested in isotropic totally real Lorentzian submanifolds of indefinite complex space forms. We show that such submanifolds are always $H$-umbilical warped product immersions and we determine also the warping function.

Filomat, 2016, 30 (10), pp.2857-2867. ⟨10.2298/FIL1610857D⟩. ⟨hal-03148439⟩

• Article dans une revue

Fracture toughness of glasses and hydroxyapatite: a comparative study of 7 methods by using Vickers indenter

Isabel Hervas, Alex Montagne, Adrien van Gorp, M. Bentoumi, Anthony Thuault, Alain Iost

Numerous methods have been proposed to estimate the indentation fracture toughness Kic for brittle materials. These methods generally uses formulæ established from empirical correlations between critical applied force, or average crack length, and classical fracture mechanics tests. This study…

Ceramics International, 2016, 42 (11), pp.12740-12750. ⟨10.1016/j.ceramint.2016.05.030⟩. ⟨hal-01337280⟩

• Article dans une revue

Regularity of solutions of elliptic or parabolic problems with Dirac measures as data

S. Ariche, Colette De Coster, Serge Nicaise

In this paper we study the Laplace and heat equations with Dirac right-hand side. We prove some regularity results in a scale of weighted Sobolev spaces, the weight being the distance to the support of the right-hand side. Model situations in dimension three are treated by using Fourier, Laplace or…

S~eMA Journal , 2016, 73, pp.379-426. ⟨10.1007/s40324-016-0077-x⟩. ⟨hal-03149885⟩