Publications acceptées:
- 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,
to appear in SIAM J. Sci. Comput., 2020. - 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, Volume 381, 1 January 2021, 113008 - 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. - 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. - 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. - 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. - PH Cocquet, MJ Gander, Analysis of the shifted Helmholtz expansion preconditioner for the Helmholtz equation,
nternational Conference on Domain Decomposition Methods. Springer, Cham, p. 195-203, 2017. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - 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.