Fully discrete finite element method based on second-order Crank-Nicolson/Adams-Bashforth scheme for the equations of motion of Oldroyd fluids of order one-Reference-Cited by-同舟云学术

Fully discrete finite element method based on second-order Crank-Nicolson/Adams-Bashforth scheme for the equations of motion of Oldroyd fluids of order one

Published:2015-08 Issue:8 Volume:20 Page:2583-2609
ISSN:1531-3492
Container-title:Discrete and Continuous Dynamical Systems - Series B
language:en
Short-container-title:DCDS-B

Author:

He Yinnian,Guo Yingwen

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Reference36 articles.

1. Sobolev Spaces,;R. A. Adams;Academic Press,1975

2. Investigation of a mathematical model of a viscoelastic fluid,;Yu. Ya. Agranovich;Dokl. Akad. Nauk Ukrain. SSR Ser. A,1989

3. Nonlinear Galerkin methods and mixed finite elements: Two-grid algorithms for the Navier-Stokes equations,;A. Ait Ou Ammi;Numer. Math.,1994

4. The Finite Element Method for Elliptic Problems,;P. G. Ciarlet;North-Holland,1978

5. Finite Element Method for Navier-Stokes Equations: Theory and Algorithms,;V. Girault;Springer-Verlag,1986

Cited by 7 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. Two-Grid Finite Element Galerkin Approximation of Equations of Motion Arising in Oldroyd Fluids of Order One with Non-Smooth Initial Data;Computational Mathematics and Mathematical Physics;2023-04
2. UNCONDITIONAL STABILITY AND CONVERGENCE OF FULLY DISCRETE FEM FOR THE VISCOELASTIC OLDROYD FLOW WITH AN INTRODUCED AUXILIARY VARIABLE;J KOREAN MATH SOC;2023
3. Crank–Nicolson extrapolation and finite element method for the Oldroyd fluid with the midpoint rule;Journal of Computational and Applied Mathematics;2022-12
4. Effect of Nesting in Laminates on the Through-Thickness Permeability of Woven Fabrics;Applied Composite Materials;2018-05-10
5. On the Euler implicit/explicit iterative scheme for the stationary Oldroyd fluid;Numerical Methods for Partial Differential Equations;2018-01-08