Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Faouzi Triki"'
Autor:
Faouzi Triki1 faouzi.triki@univ-grenoble-alpes.fr, Tao Yin2 yintao@lsec.cc.ac.cn
Publikováno v:
Journal of Computational Mathematics. 2023, Vol. 41 Issue 3, p483-502. 20p.
Publikováno v:
Computational Methods in Applied Mathematics. 23:517-544
This work deals with the a posteriori error estimates for the Darcy–Forchheimer problem. We first introduce the corresponding variational formulation for the nonlinear problem and discretize it by using the finite-element method. We then propose a
Autor:
Faouzi Triki
Publikováno v:
Journal de Mathématiques Pures et Appliquées
Journal de Mathématiques Pures et Appliquées, 2021, 148, pp.342-359. ⟨10.1016/j.matpur.2021.02.004⟩
Journal de Mathématiques Pures et Appliquées, 2021, 148, pp.342-359. ⟨10.1016/j.matpur.2021.02.004⟩
International audience; In this work we determine the second-order coefficient in a parabolic equation from the knowledge of a single final data. Under assumptions on the concentration of eigenvalues of the associated elliptic operator, and the initi
Publikováno v:
Research in the Mathematical Sciences
Research in the Mathematical Sciences, 2022, 9 (24), ⟨10.1007/s40687-022-00322-6⟩
Research in the Mathematical Sciences, 2022, 9 (24), ⟨10.1007/s40687-022-00322-6⟩
This paper is concerned with the stability issue in determining absorption and diffusion coefficients in quantitative photoacoustic imaging. Assuming that the optical wave is generated by point sources in a region where the optical coefficients are k
Publikováno v:
Inverse Problems. 38:125003
In this paper, we consider the problem of identifying a single moving point source for a three-dimensional wave equation from boundary measurements. Precisely, we show that the knowledge of the field generated by the source at six different points of
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis
ESAIM: Mathematical Modelling and Numerical Analysis, 2021, 55 (6), pp.2643-2678. ⟨10.1051/m2an/2021066⟩
ESAIM: Mathematical Modelling and Numerical Analysis, 2021, 55 (6), pp.2643-2678. ⟨10.1051/m2an/2021066⟩
In this article, we consider the convection-diffusion-reaction problem coupled the Darcy-Forchheimer problem by a non-linear external force depending on the concentration. We establish existence of a solution by using a Galerkin method and we prove u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a347d02d4a09141ebd01bb34f3dc9dbf
https://hal.archives-ouvertes.fr/hal-03175608
https://hal.archives-ouvertes.fr/hal-03175608
This volume presents a timely overview of control theory and inverse problems, and highlights recent advances in these active research areas. The chapters are based on talks given at the spring school'Control & Inverse Problems” held in Monastir, T
Autor:
Faouzi Triki, Chun-Hsiang Tsou
Publikováno v:
Journal of Differential Equations
Journal of Differential Equations, 2020, 259 (4), pp.3259-3281. ⟨10.1016/j.jde.2020.02.028⟩
Journal of Differential Equations, 2020, 259 (4), pp.3259-3281. ⟨10.1016/j.jde.2020.02.028⟩
International audience; In this paper we are interested in inverse inclusion problem in the plane. We derive uniqueness and Hölder stability results of the inclusion recovery problem using a single boundary measurement, under the assumption that the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b18f26a254ccf2a2778c2ed906ca5a6
https://hal.science/hal-01633360
https://hal.science/hal-01633360
Autor:
Faouzi Triki null, Tao Yin
Publikováno v:
Journal of Computational Mathematics-International Edition
Journal of Computational Mathematics-International Edition-, 2022, 41, pp.482-500. ⟨10.4208/jcm.2111-m2021-0093⟩
Journal of Computational Mathematics-International Edition-, 2022, 41, pp.482-500. ⟨10.4208/jcm.2111-m2021-0093⟩
International audience; This paper concerns the reconstruction of a scalar coefficient of a second-order elliptic equation in divergence form posed on a bounded domain from internal data. This theory finds applications in multi-wave imaging, greedy m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::83ee5a02533c4ed5ade123333c03d327
http://arxiv.org/abs/2003.13638
http://arxiv.org/abs/2003.13638
Publikováno v:
Applicable Analysis
Applicable Analysis, 2022, 101 (18), pp.6573-6595. ⟨10.1080/00036811.2021.1934456⟩
Applicable Analysis, 2022, 101 (18), pp.6573-6595. ⟨10.1080/00036811.2021.1934456⟩
International audience; We consider a one-dimensional one-phase inverse Stefan problem for the heat equation. It consists in recovering a boundary influx condition from the knowledge of the position of the moving front, and the initial state. We deri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e695023f41ed241f197ba1a94829c70e
http://arxiv.org/abs/2002.09185
http://arxiv.org/abs/2002.09185