The reduced-order method of continuous space-time finite element scheme for the non-stationary incompressible flows-Reference-Cited by-同舟云学术

The reduced-order method of continuous space-time finite element scheme for the non-stationary incompressible flows

Published:2022-05 Issue: Volume:456 Page:111044
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Luo Zhendong,Yang Jing^ORCID

Funder

National Natural Science Foundation of China

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modeling and Simulation,Numerical Analysis

Reference46 articles.

1. Sobolev Spaces;Adams,1975

2. Continuous finite elements in space and time for the heat equation;Aziz;Math. Comput.,1989

3. Explicit reduced-order models for the stabilized finite element approximation of the incompressible Navier-Stokes equations;Baiges;Int. J. Numer. Methods Fluids,2013

4. Model Reduction and Approximation: Theory and Algorithm;Benner,2017

5. A reduced-order approach to four-dimensional variational data assimilation using proper orthogonal decomposition;Cao;Int. J. Numer. Methods Fluids,2007

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 reduced-order two-grid method based on POD technique for the semilinear parabolic equation;Applied Numerical Mathematics;2024-11

2. Two-grid dimension reduction method of Crank-Nicolson mixed finite element solution coefficient vectors for the fourth-order extended Fisher-Kolmogorov equation;Journal of Mathematical Analysis and Applications;2024-08

3. A reduced-dimension extrapolation two-grid Crank-Nicolson finite element method of unknown solution coefficient vectors for spatial fractional nonlinear Allen-Cahn equations;Computers & Mathematics with Applications;2024-08

4. A Mass-Conservative Reduced-Order Algorithm in Solving Optimal Control of Convection-Diffusion Equation;Journal of Scientific Computing;2024-07-14

5. A Reduced-Dimension Weighted Explicit Finite Difference Method Based on the Proper Orthogonal Decomposition Technique for the Space-Fractional Diffusion Equation;Axioms;2024-07-08