[图书][B] Variation et optimisation de formes: une analyse géométrique

A Henrot, M Pierre - 2005 - books.google.com
Ce livre est une initiation aux approches modernes de l'optimisation mathématique de
formes. Il s' appuie sur les seules connaissances de première année de Master de …

Chaotic billiards generated by arithmetic groups

EB Bogomolny, B Georgeot, MJ Giannoni, C Schmit - Physical review letters, 1992 - APS
It is known that statistical properties of the energy levels for various billiards on a constant-
negative-curvature surface do not follow the universal random-matrix predictions. We show …

Numerical minimization of eigenmodes of a membrane with respect to the domain

É Oudet - ESAIM: Control, Optimisation and Calculus of …, 2004 - numdam.org
In this paper we introduce a numerical approach adapted to the minimization of the
eigenmodes of a membrane with respect to the domain. This method is based on the …

Newton's method in shape optimisation: A three-dimensional case

A Novruzi, JR Roche - BIT Numerical Mathematics, 2000 - Springer
Our goal is to introduce a Newton method in computing the stationary points of a total energy
with respect to the shape. We formulated a precise description of the second order shape …

Shape and topology optimal design problems in electromagnetic casting

A Canelas, JR Roche - Engineering Computations, 2021 - emerald.com
Purpose In this paper the authors review the recent numerical techniques proposed to solve
the forward and inverse problems concerning the electromagnetic casting and …

A new method for inverse electromagnetic casting problems based on the topological derivative

A Canelas, AA Novotny, JR Roche - Journal of Computational Physics, 2011 - Elsevier
The inverse electromagnetic casting problem consists in looking for a suitable set of electric
wires such that the electromagnetic field induced by an alternating current passing through …

Numerical simulation of some problems related to aluminium casting

P Barral, A Bermúdez, MC Muñiz, MV Otero… - Journal of materials …, 2003 - Elsevier
In this paper we present several models describing some thermal, mechanical,
electromagnetic and hydrodynamic phenomena arising from electromagnetic aluminium …

The inverse electromagnetic shaping problem

A Canelas, JR Roche, J Herskovits - Structural and Multidisciplinary …, 2009 - Springer
The inverse problem concerning electromagnetic casting of molten metals consists of
looking for an electric current density distribution such that the induced electromagnetic field …

[PDF][PDF] Fractional Hadamard formulas, Pohozaev type identities and applications

SM Djitte - 2022 - dcn.nat.fau.eu
The boundary expression of the one-sided shape derivative of nonlocal Sobolev best
constants is derived. As a simple consequence, we obtain the fractional version of the so …

Inductor shape optimization for electromagnetic casting

A Canelas, JR Roche, J Herskovits - Structural and Multidisciplinary …, 2009 - Springer
The design of inductors in electromagnetic shaping of molten metals consists in looking for
the position and the shape of a set of electric wires such that the induced electromagnetic …