Numerical analysis for a chemotaxis-Navier–Stokes system
ESAIM: M2AN, 55 (2021) S417-S445
Published online: 2021-02-26
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Cubic and quartic hyperbolic B-splines comparison for coupled Navier Stokes equation via differential quadrature method - A statistical aspect
Mamta KapoorComputers & Mathematics with Applications 171 6 (2024)
https://doi.org/10.1016/j.camwa.2024.07.006
Finite element numerical schemes for a chemo-attraction and consumption model
F. Guillén-González and G. TierraJournal of Computational and Applied Mathematics 441 115676 (2024)
https://doi.org/10.1016/j.cam.2023.115676
A Review on the Analysis and Optimal Control of Chemotaxis-Consumption Models
André Luiz Corrêa Vianna Filho and Francisco Guillén-GonzálezSeMA Journal (2024)
https://doi.org/10.1007/s40324-024-00362-8
Mathematical analysis and asymptotic predictions of chemical-driven swimming living organisms in weighted networks
Georges Chamoun and Nahia MouradComputers & Mathematics with Applications 172 16 (2024)
https://doi.org/10.1016/j.camwa.2024.07.031
Unconditionally Energy-Stable Finite Element Scheme for the Chemotaxis-Fluid System
Yangyang Tang, Guang-an Zou and Jian LiJournal of Scientific Computing 95 (1) (2023)
https://doi.org/10.1007/s10915-023-02118-4
Error estimates for the finite element method of the chemotaxis-Navier–Stokes equations
Zhenzhen Li, Liuchao Xiao, Minghao Li and Hongru ChenJournal of Applied Mathematics and Computing 69 (4) 3039 (2023)
https://doi.org/10.1007/s12190-023-01870-y
Uniform in time solutions for a chemotaxis with potential consumption model
André Luiz Corrêa Vianna Filho and Francisco Guillén-GonzálezNonlinear Analysis: Real World Applications 70 103795 (2023)
https://doi.org/10.1016/j.nonrwa.2022.103795
On a chemotaxis-Navier-Stokes system with Lotka-Volterra competitive kinetics: Theoretical and numerical analysis
Carlos M. Beltrán-Larrotta, Diego A. Rueda-Gómez and Élder J. Villamizar-RoaApplied Numerical Mathematics 184 77 (2023)
https://doi.org/10.1016/j.apnum.2022.09.009
A Banach spaces-based fully-mixed finite element method for the stationary chemotaxis-Navier-Stokes problem
Sergio Caucao, Eligio Colmenares, Gabriel N. Gatica and Cristian InzunzaComputers & Mathematics with Applications 145 65 (2023)
https://doi.org/10.1016/j.camwa.2023.06.006
Convergence of a Time Discrete Scheme for a Chemotaxis-Consumption Model
Francisco Guillén-González and André Luiz Corrêa Vianna FilhoSIAM Journal on Numerical Analysis 61 (5) 2509 (2023)
https://doi.org/10.1137/22M1533049
A diffuse-domain-based numerical method for a chemotaxis-fluid model
Chenxi Wang, Alina Chertock, Shumo Cui, Alexander Kurganov and Zhen ZhangMathematical Models and Methods in Applied Sciences 33 (02) 341 (2023)
https://doi.org/10.1142/S0218202523500094
Unconditionally energy-stable discontinuous Galerkin method for the chemo-repulsion-Navier-Stokes system
Meiting Wang, Guang-an Zou, Bo Wang and Wenju ZhaoComputers & Mathematics with Applications 150 132 (2023)
https://doi.org/10.1016/j.camwa.2023.09.012
Numerical analysis of a chemotaxis model for tumor invasion
Jhean E. Pérez-López, Diego A. Rueda-Gómez and Élder J. Villamizar-RoaAdvances in Computational Mathematics 48 (3) (2022)
https://doi.org/10.1007/s10444-022-09949-z
An optimal control problem related to a 3D-chemotaxis-Navier-Stokes model
J. López-Ríos and Élder J. Villamizar-RoaESAIM: Control, Optimisation and Calculus of Variations 27 58 (2021)
https://doi.org/10.1051/cocv/2021055
Convergence and positivity of Finite Element methods for a haptotaxis model of tumoral invasion
Viviana Niño-Celis, Diego A. Rueda-Gómez and Élder J. Villamizar-RoaComputers & Mathematics with Applications 89 20 (2021)
https://doi.org/10.1016/j.camwa.2021.02.007