A Dimension Splitting Generalized Interpolating Element-Free Galerkin Method for the Singularly Perturbed Steady Convection–Diffusion–Reaction Problems

F Sun, J Wang, X Kong, R Cheng - Mathematics, 2021 - mdpi.com
By introducing the dimension splitting method (DSM) into the generalized element-free
Galerkin (GEFG) method, a dimension splitting generalized interpolating element-free …

A half boundary method for two dimensional unsteady convection–diffusion equations

Y Zhao, M Huang, X Ouyang, J Luo, Y Shen… - Engineering Analysis with …, 2022 - Elsevier
Convection diffusion equation is widely applied in many fields of science and technology.
Many practical engineering problems can be expressed by this equation in unsteady state …

A new projection-based stabilized virtual element method for the Stokes problem

J Guo, M Feng - Journal of Scientific Computing, 2020 - Springer
We propose and analyze a stabilized virtual element method for the Stokes problem on
polytopal meshes. We employ the C^ 0 C 0 continuous arbitrary “equal-order” virtual …

A new class of stabilized virtual element methods for the time-dependent Oseen equations

Y Bai, Y Li, M Feng - Computers & Mathematics with Applications, 2023 - Elsevier
In this paper, we extend the divergence-free virtual element method for the time-dependent
Oseen equations on polygonal meshes. We employ the standard virtual element method …

Half boundary method for steady state convection–diffusion equations with different boundary conditions

Y Zhao, M Huang, X Ouyang, J Tang… - Engineering Analysis with …, 2020 - Elsevier
Convection-diffusion equation is widely used in many fields of science, technology and
engineering. The calculation is usually difficult and time-consuming. In this paper, a highly …

A New L2 Projection Method for the Oseen Equations

Y Bai, M Feng - Advances in Applied Mathematics and Mechanics, 2017 - cambridge.org
In this paper, a new type of stabilized finite element method is discussed for Oseen
equations based on the local L2 projection stabilized technique for the velocity field. Velocity …

Improved averaging-based finite-difference schemes for the convection-diffusion equation

LN Jahan - 2019 - research.library.mun.ca
Convection and diffusion have significant effect on reservoir flow systems. To represent the
reservoir properly, these effects are encountered in models of reservoir engineering. Many …

[引用][C] 非定常Oseen 方程最优控制问题的一种新型L^ 2 投影稳定化方法

覃燕梅, 冯民富 - 计算数学, 2016

[引用][C] Navier-Stokes 方程最优控制问题的一种新型投影稳定化方法

覃燕梅 - 四川大学学报: 自然科学版, 2016