Unconditionally Energy-Stable Finite Element Scheme for the Chemotaxis-Fluid System-Reference-Cited by-同舟云学术

Unconditionally Energy-Stable Finite Element Scheme for the Chemotaxis-Fluid System

Published:2023-02-15 Issue:1 Volume:95 Page:
ISSN:0885-7474
Container-title:Journal of Scientific Computing
language:en
Short-container-title:J Sci Comput

Author:

Tang Yangyang,Zou Guang-an^ORCID,Li Jian

Funder

China Postdoctoral Science Foundation

Key Scientific Research Projects of Colleges and Universities in Henan Province, China

NSF of China

Shaanxi Provincial Joint Laboratory of Artificial Intelligence

Natural Science Foundation of Shaanxi Provincial Department of Education

2022 Shaanxi Provincial Social Science Fund Annual Project

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

https://link.springer.com/content/pdf/10.1007/s10915-023-02118-4.pdf

Reference48 articles.

1. Bellomo, N., Bellouquid, A., Tao, Y., Winkler, M.: Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues. Math. Model Meth. Appl. Sci. 25(09), 1663–1763 (2015)

2. Barrett, J.W., Blowey, J.F.: Finite element approximation of a nonlinear cross-diffusion population model. Numer. Math. 98(2), 195–221 (2004)

3. Chertock, A., Fellner, K., Korganov, A., Lorz, A., Markowich, P.: Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach. J. Fluid Mech. 694, 155–190 (2012)

4. Chae, M., Kang, K., Lee, J.: Existence of smooth solutions to coupled chemotaxis-fluid equations. Discr. Cont. Dyn. Syst. A 33(6), 2271–2297 (2013)

5. Ciarlet, P.G.: Introduction to linear shell theory, Series in applied mathematics. Elsevier, Armsterdam (1998)

Cited by 17 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A generalized scalar auxiliary variable approach for the Navier–Stokes-ω/Navier–Stokes-ω equations based on the grad-div stabilization;Communications in Nonlinear Science and Numerical Simulation;2025-01

2. A novel discontinuous Galerkin projection scheme for the hydrodynamics of nematic liquid crystals;Communications in Nonlinear Science and Numerical Simulation;2024-10

3. The coupled physical-informed neural networks for the two phase magnetohydrodynamic flows;Computers & Mathematics with Applications;2024-07

4. Numerical analysis of finite element method for a stochastic active fluids model;Applied Numerical Mathematics;2024-07

5. The Positivity-Preserving Finite Volume Coupled with Finite Element Method for the Keller–Segel–Navier–Stokes Model;Communications in Computational Physics;2024-06