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20052014
most citedNucleation of spherical shell-like interfaces by second gradient theory: numerical simulations

78 citations

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9 papers · 1 filter

math.AP20125 cited

On the relaxation of unbounded multiple integrals

Omar Anza Hafsa, Jean Philippe Mandallena

We study the relaxation of multiple integrals of the calculus of variations, where the integrands are nonconvex with convex effective domain and can take the value \infty. We use l…

math.AP20116 cited

Relaxation and 3d-2d passage theorems in hyperelasticity

Omar Anza Hafsa, Jean-Philippe Mandallena

We give an overview of relaxation and 3d-2d passage theorems in hyperelasticity in the framework of the multidimensional calculus of variations. Some open questions are addressed.…

math.AP2009

Relaxation and 3d-2d passage with determinant type constraints: an outline

Omar Anza Hafsa, Jean-Philippe Mandallena

We outline our work (see [1,2,3,4]) on relaxation and 3d-2d passage with determinant type constraints. Some open questions are addressed. This outline-paper comes as a companion to…

math.AP20094 cited

Relaxation et passage 3D-2D avec contraintes de type déterminant

Omar Anza Hafsa, Jean-Philippe Mandallena

The goal of this paper is, on the one hand, to make available a set of tools and methods to deal with relaxation and 3D-2D passage with determinant type constraints, and, on the ot…

math.AP2008

Spurious caustics of Dispersion Relation Preserving schemes

Claire David, Pierre Sagaut

A linear dispersive mechanism leading to a burst in the norm of the error in numerical simulation of polychromatic solutions is identified. This local error pile-up corr…

math.AP2008

Towards new schemes: A Lie-group approach of the CBKDV and its derived equations

Emma Hoarau, Claire David

The aim of this paper is to propose methods that enable us to build new numerical schemes, which preserve the Lie symmetries of the original differential equations. To this purpose…