Bernoulli problem for rough domains

Autor: François, Bouchon, Laurent, Chupin

We consider the exterior free boundary Bernoulli problem in the case of a rough given domain. An asymptotic analysis shows that the solution of the initial problem can be approximated by the solution of a non-rough Bernoulli problem at order 2. Numer

Externí odkaz: http://arxiv.org/abs/1306.2126

BSplines properties with Interval Analysis for Constraint Satisfaction Problem: Application in robotics

Autor: Rawan Kalawoun, François Bouchon, Sebastien Lengagne, Youcef Mezouar

Publikováno v: Advances in Intelligent Systems and Computing
15th International Conference on Intelligent Autonomous Systems IAS-15
15th International Conference on Intelligent Autonomous Systems IAS-15, Jun 2018, Baden-Baden, Germany. pp.490-453, ⟨10.1007/978-3-030-01370-7_39⟩
Acoustics Research Letters
Acoustics Research Letters Online, Acoustical Society of America, 2018
Intelligent Autonomous Systems 15 ISBN: 9783030013691
IAS

International audience; Interval Analysis is a mathematical tool that could be used to solve Constraint Satisfaction Problem. It guarantees solutions, and deals with uncertainties. However, Interval Analysis suffers from an overestimation of the solu

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6bcbe0315e7bb98f4b49592468b99ee2
https://hal.uca.fr/hal-01913931/file/Kalawoun_IAS2018.pdf

A second-order cut-cell method for the numerical simulation of 2D flows past obstacles

Autor: François Bouchon, Nicolas James, Thierry Dubois

Publikováno v: Computers & Fluids. 65:80-91

We present a new second-order method, based on the MAC scheme on cartesian grids, for the numerical simulation of two-dimensional incompressible flows past obstacles. In this approach, the solid boundary is embedded in the cartesian computational mes

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5dd6bf2f6d4775ff13982801834f99d8
https://doi.org/10.1016/j.compfluid.2012.02.011

The Immersed Interface Technique for Parabolic Problems with Mixed Boundary Conditions

Autor: François Bouchon, Gunther H. Peichl

Publikováno v: SIAM Journal on Numerical Analysis
SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2010, 48 (6), pp.2247--2266. ⟨10.1137/09075384X⟩
SIAM Journal on Numerical Analysis, 2010, 48 (6), pp.2247--2266. ⟨10.1137/09075384X⟩

A finite difference scheme is presented for a parabolic problem with mixed boundary conditions. We use an immersed interface technique to discretize the Neumann condition, and we use the Shortley-Weller approximation for the Dirichlet condition. The

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1f4509703bc132eb2ec61279b6a82cbd
https://doi.org/10.1137/09075384x

A Dirichlet-Neumann cost functional approach for the Bernoulli problem

Autor: A. Ben Abda, Gunther H. Peichl, François Bouchon, M. Sayeh, Rachid Touzani

Publikováno v: Journal of Engineering Mathematics
Journal of Engineering Mathematics, Springer Verlag, 2013, 81 (1), pp.157-176. ⟨10.1007/s10665-012-9608-3⟩
Journal of Engineering Mathematics, 2013, 81 (1), pp.157-176. ⟨10.1007/s10665-012-9608-3⟩

The Bernoulli problem is rephrased into a shape optimization problem. In particular, the cost function, which turns out to be a constitutive law gap functional, is borrowed from inverse problem formulations. The shape derivative of the cost functiona

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2941165342c7565fc74b0e7b1c80d292
http://unipub.uni-graz.at/doi/doi:10.1007/s10665-012-9608-3