Pierre-Henri CocquetSenior Lecturer (HDR) in Applied Mathematics
Education
PhDThesis : Mathematical and numerical study of homogenized metamaterial models,
University of Toulouse thesis, defended on 07/12/2012.
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Habilitation to Supervise Research : Topological optimization in fluid mechanics and numerical analysis of wave propagation problems in harmonic regime,
HDR from Université de Pau et des Pays de l'Adour, defended on 25/01/2024.
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Projects
Publications
Refereed Journal Publications:
- P.H. Cocquet, M.J. Gander, Asymptotic Dispersion Correction in General Finite Difference Schemes for Helmholtz Problems,
SIAM Journal on Scientific Computing, vol. 46, no. 2, pp. A670-A6962024, 2024.
Preprint - A. Vieira, P.H. Cocquet, The Boussinesq system with non-smooth boundary conditions: existence, relaxation and topology optimization,
SIAM Journal on Control and Optimization, vol. 60, no 6, p. 3457-3484, 2022.
Preprint - A. Vieira, A. Bastide, P.H. Cocquet, Topology Optimization for Steady-State Anisothermal Flow Targeting Solids with Piecewise Constant Thermal Diffusivity,
Applied Mathematics & Optimization, vol. 85, no 3, p. 1-32, 2022.
Preprint - A. Aldor, Y. Moguen, K. El Omari, C. Habchi, P.H. Cocquet, Y. Le Guer, Heat transfer enhancement by chaotic advection in a novel sine-helical channel geometry,
International Journal of Heat and Mass Transfer, vol. 193, p. 122870, 2022.
Preprint - F.Z. Boudara, H. Bouzekri, Y. Benhammadi, P.H. Cocquet, M. Rivaletto, L. Pécastaing, A. Silvestre de Ferron, Y. Le Guer, Accurate numerical modeling of convective heat transfer coefficient for a high power PLA-core toroidal electromagnetic coupler subject to cooling,
International Journal of Thermal Sciences, vol. 170, p. 107125, 2021.
Preprint - P.H. Cocquet, S. Riffo, J. Salomon, Optimization of bathymetry for long waves with small amplitude,
SIAM Journal on Control and Optimization, vol. 59, no. 6, p. 4429-4456, 2021.
Preprint - P-H. Cocquet, M.J. Gander and X. Xiang, Closed Form Dispersion Corrections Including a Real Shifted Wave Number for Finite Difference Discretizations of 2D Constant Coefficient Helmholtz Problems,
SIAM Journal on Scientific Computing, vol. 43, no. 1, p. A278-A308, 2021.
Preprint - PH Cocquet, M Rakotobe, D Ramalingom, A Bastide, Error analysis for the finite element approximation of the Darcy-Brinkman-Forchheimer model for porous media with mixed boundary conditions
Journal of Computational and Applied Mathematics , vol. 381, p. 113008, 2021.
Preprint - D Ramalingom, PH Cocquet, R Maleck, A Bastide, A multi-objective optimization problem in mixed and natural convection for a vertical channel asymmetrically heated,
Structural and Multidisciplinary Optimization, 60(5), 2001-2020, 2019.
Preprint - D Ramalingom, PH Cocquet, A Bastide, A new interpolation technique to deal with fluid-porous media interfaces for topology optimization of heat transfer,
Computers & Fluids, vol. 168, p. 144-158, 2018.
Preprint - A Bastide, PH Cocquet, D Ramalingom, Penalization model for Navier–Stokes–Darcy equations with application to porosity-oriented topology optimization,
Mathematical Models and Methods in Applied Sciences 28.08: 1481-1512, 2018.
Preprint - D Ramalingom, PH Cocquet, A Bastide, Numerical study of natural convection in asymmetrically heated channel considering thermal stratification and surface radiation,
Numerical Heat Transfer, Part A: Applications, vol. 72, no 9, p. 681-696, 2017.
Preprint - PH Cocquet, MJ Gander, How large a shift is needed in the shifted Helmholtz preconditioner for its effective inversion by multigrid?,
SIAM Journal on Scientific Computing, 39(2), A438-A478, 2017.
Preprint - KE Boutarene, PH Cocquet, Scattering of a scalar time-harmonic wave by a penetrable obstacle with a thin layer,
European Journal of Applied Mathematics, 27(2), 264, 2016.
Preprint - A Bendali, PH Cocquet, S Tordeux, Approximation by multipoles of the multiple acoustic scattering by small obstacles in three dimensions and application to the foldy theory of isotropic scattering,
Archive for Rational Mechanics and Analysis, 219(3), 1017-1059, 2016.
Preprint - A Bendali, PH Cocquet, S Tordeux, Scattering of a scalar time-harmonic wave by n small spheres by the method of matched asymptotic expansions
Numerical Analysis and Applications, 5(2), 116-123, 2012.
Preprint - PH Cocquet, PA Mazet, V Mouysset, On the existence and uniqueness of a solution for some frequency-dependent partial differential equations coming from the modeling of metamaterials,
SIAM Journal on Mathematical Analysis, vol. 44, no 6, p. 3806-3833, 2012.
Preprint - PH Cocquet, PA Mazet, V Mouysset, Sur l'existence et l'unicité des solutions pour des équations de Drude–Born–Fedorov homogénéisées en domaine borné et applications aux métamatériaux,
Comptes Rendus Mathematique, 349(1-2), 99-103, 2011.
Pdf - PH Cocquet, V Mouysset, PA Mazet, Theoritical Analysis of Some Homogenized Metamaterials and Application of PML to Perform Cloaking and Back-scattering Invisibility,
PIERS Online, 6(2), 189-194, 2010.
Refereed Conference Proceedings:
- A. Vieira, P.H. Cocquet, Optimized Schwarz Method for Coupled Direct-Adjoint Problems Applied to Parameter Identification in Advection-Diffusion Equation,
Domain Decomposition Methods in Science and Engineering XXVII. DD 2022. Lecture Notes in Computational Science and Engineering, vol 149. Springer, Cha, 2024.
Preprint - D. Marti, D. Ramalingom, P.H. Cocquet, A. Bastide, Utilisation de fonctions objectifs locales pour l'optimisation topologique des échanges thermiques d'un canal vertical asymétriquement chauffé,
Congrès annuel de la société française de thermique, 2021 .
Pdf - PH Cocquet, MJ Gander, X Xiang, Dispersion correction for Helmholtz in 1D with piecewise constant wavenumber,
International Conference on Domain Decomposition Methods. Springer, Cham, p. 359-366, 2018.
Preprint - D. Ramalingom, P.H. Cocquet et A. Bastide, Optimisation topologique des échanges thermiques dans un canal vertical asymétriquement chauffé,
Publié dans les actes du 25ème Congrès Français de Thermique, 2017.
Pdf - PH Cocquet, MJ Gander, X Xiang, A Finite Difference Method with Optimized Dispersion Correction for the Helmholtz Equation,
International Conference on Domain Decomposition Methods. Springer, Cham, p. 205-213, 2017.
Preprint - PH Cocquet, MJ Gander, Analysis of the shifted Helmholtz expansion preconditioner for the Helmholtz equation,
International Conference on Domain Decomposition Methods. Springer, Cham, p. 195-203, 2017.
Preprint - G. Riviere, P.H. Cocquet, E. Fock, et A. Bastide, Optimisation topologique d'une bouche de ventilation en régime turbulent,
Conférence Francophone de l'International Building Performance Simulation Association (IBPSA), 2017.
Pdf - J Michaud, PH Cocquet, Error of an eFDDM: What do matched asymptotic expansions teach us?
Domain Decomposition Methods in Science and Engineering XXII. Springer, Cham. p. 335-343, 2016.
Preprint - PH Cocquet, MJ Gander, On the minimal shift in the shifted Laplacian preconditioner for multigrid to work,
Domain Decomposition Methods in Science and Engineering XXII. Springer, Cham, p. 137-145, 2016.
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