Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Afaf Bouharguane"'
Autor:
Afaf Bouharguane
Publikováno v:
International Journal of Differential Equations, Vol 2011 (2011)
We investigate a fractional diffusion/anti-diffusion equation proposed by Andrew C. Fowler to describe the dynamics of sand dunes sheared by a fluid flow. In this paper, we prove the global-in-time well-posedness in the neighbourhood of travelling-wa
Externí odkaz:
https://doaj.org/article/0a6729981afd4b2ebe6a87d32b2e4d03
Autor:
Afaf Bouharguane, Nour Seloula
Publikováno v:
Computers & Mathematics with Applications. 141:1-14
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::da697d0c872b42cbbf82b696479115a2
https://doi.org/10.1016/j.camwa.2023.03.022
https://doi.org/10.1016/j.camwa.2023.03.022
The local discontinuous Galerkin method for convection-diffusion-fractional anti-diffusion equations
Autor:
Nour Seloula, Afaf Bouharguane
Publikováno v:
Applied Numerical Mathematics
Applied Numerical Mathematics, Elsevier, 2020, 148, pp.61-78. ⟨10.1016/j.apnum.2019.09.001⟩
Applied Numerical Mathematics, Elsevier, 2020, 148, pp.61-78. ⟨10.1016/j.apnum.2019.09.001⟩
In this paper, we consider the discontinuous Galerkin method for solving time dependent partial differential equations with convection-diffusion terms and anti-diffusive fractional operator of order α ∈ ( 1 , 2 ) . These equations are motivated by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::73057e4613bbfd149eb33ced165b19d2
https://hal-normandie-univ.archives-ouvertes.fr/hal-02334661
https://hal-normandie-univ.archives-ouvertes.fr/hal-02334661
Autor:
Nour Seloula, Verónica Anaya, Ricardo Ruiz-Baier, David Mora, Carlos Reales, Héctor Torres, Afaf Bouharguane
Publikováno v:
Journal of Scientific Computing
Journal of Scientific Computing, Springer Verlag, 2019, 80 (3), pp.1577-1606. ⟨10.1007/s10915-019-00990-7⟩
Journal of Scientific Computing, Springer Verlag, 2019, 80 (3), pp.1577-1606. ⟨10.1007/s10915-019-00990-7⟩
We introduce a family of mixed methods and discontinuous Galerkin discretisations designed to numerically solve the Oseen equations written in terms of velocity, vorticity, and Bernoulli pressure. The unique solvability of the continuous problem is a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::abaeca5f039fddd6b8168c8182529bf1
https://hal-normandie-univ.archives-ouvertes.fr/hal-02334688
https://hal-normandie-univ.archives-ouvertes.fr/hal-02334688
Autor:
Afaf Bouharguane, Benjamin Melinand
Publikováno v:
IMA Journal of Numerical Analysis
IMA Journal of Numerical Analysis, 2017
IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2017
IMA Journal of Numerical Analysis, 2017
IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2017
International audience; In this paper we derive and prove the wellposedness of a deep water model that generalizes the Saut-Xu system for nonflat bottoms. Then, we present a new numerical method based on a splitting approach for studying this system.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ddaeab46c0f6c1218e53cd7110ec05cc
https://hal.science/hal-01326794
https://hal.science/hal-01326794
Autor:
Rémi Carles, Afaf Bouharguane
Publikováno v:
Mathematics of Computation
Mathematics of Computation, American Mathematical Society, 2014, 83 (287), pp.1121-1141. ⟨10.1090/S0025-5718-2013-02757-3⟩
Mathematics of Computation, American Mathematical Society, 2014, 83 (287), pp.1121-1141. ⟨10.1090/S0025-5718-2013-02757-3⟩
We consider a nonlocal scalar conservation law proposed by Andrew C. Fowler to describe the dynamics of dunes, and we develop a numerical procedure based on splitting methods to approximate its solutions. We begin by proving the convergence of the we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::05b930a648a839e00fb5150b6ca4253c
https://doi.org/10.1090/s0025-5718-2013-02757-3
https://doi.org/10.1090/s0025-5718-2013-02757-3
Autor:
Afaf Bouharguane
The numerical solution of a nonlinear and space-fractional anti-diffusive equation used to model dune morphodynamics is considered. Spatial discretization is effected using a finite element method whereas the Crank-Nicolson scheme is used for tempora
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::337aa2f6e2ba37ad3da3e34fd3adcaef
http://arxiv.org/abs/1608.08830
http://arxiv.org/abs/1608.08830
Autor:
Afaf Bouharguane, Bijan Mohammadi
Publikováno v:
International Journal of Computational Fluid Dynamics
International Journal of Computational Fluid Dynamics, Taylor & Francis, 2012, 26 (3), pp.163-172. ⟨10.1080/10618562.2012.669831⟩
International Journal of Computational Fluid Dynamics, Taylor & Francis, 2012, 26 (3), pp.163-172. ⟨10.1080/10618562.2012.669831⟩
International audience; Minimisation principles are used in fluid-structure coupling to model sandy sea beds evolution. The sandy bed is seen as a structure with low stiffness. We start with a model problem featuring the behaviour of the coupling. Th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cbbc22191afa3ef85f1c387bc8848a44
https://doi.org/10.1080/10618562.2012.669831
https://doi.org/10.1080/10618562.2012.669831
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation
Communications in Nonlinear Science and Numerical Simulation, Elsevier, 2012, 17 (2), pp.867-881. ⟨10.1016/j.cnsns.2011.07.001⟩
Communications in Nonlinear Science and Numerical Simulation, Elsevier, 2012, 17 (2), pp.867-881. ⟨10.1016/j.cnsns.2011.07.001⟩
International audience; In this paper, a new filtering method is presented for simultaneous noise reduction and enhancement of signals using a fractal scalar conservation law which is simply the forward heat equation modified by a fractional anti-dif
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a0fe2eb644c95a8302d7634aaf92b306
https://doi.org/10.1016/j.cnsns.2011.07.001
https://doi.org/10.1016/j.cnsns.2011.07.001
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2015, Special Issue-Optimal Transport, 49 (6), pp.1577 ⟨10.1051/m2an/2015024⟩
ESAIM: Mathematical Modelling and Numerical Analysis, 2015, Special Issue-Optimal Transport, 49 (6), pp.1577 ⟨10.1051/m2an/2015024⟩
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2015, Special Issue-Optimal Transport, 49 (6), pp.1577 ⟨10.1051/m2an/2015024⟩
ESAIM: Mathematical Modelling and Numerical Analysis, 2015, Special Issue-Optimal Transport, 49 (6), pp.1577 ⟨10.1051/m2an/2015024⟩
International audience; We present an iterative method to numerically solve the L² Monge-Kantorovich problem. The method is based on a Picard fixed point iteration of the linearized problem. Examples relative to the transport of two-dimensional dens
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4bd614765a2eca0160625833f2c9836a
https://hal.archives-ouvertes.fr/hal-01250636
https://hal.archives-ouvertes.fr/hal-01250636