An adaptive global–local generalized FEM for multiscale advection–diffusion problems

L He, AJ Valocchi, CA Duarte - Computer Methods in Applied Mechanics …, 2024 - Elsevier
This paper develops an adaptive algorithm for the Generalized Finite Element Method with
global–local enrichment (GFEM gl) for transient multiscale PDEs. The adaptive algorithm …

Local and parallel finite element methods for the coupled Stokes/Darcy model

G Du, L Zuo - Numerical Algorithms, 2021 - Springer
In this paper, based on two-grid discretizations, two kinds of local and parallel finite element
methods are proposed and investigated for the coupled Stokes/Darcy model. Following the …

Local and parallel finite element algorithms based on the partition of unity for the Stokes problem

J Yu, F Shi, H Zheng - SIAM Journal on Scientific Computing, 2014 - SIAM
By combining the techniques of the two-grid method and the partition of unity, we derive two
local and parallel finite element algorithms for the Stokes problem. The most interesting …

Local and parallel finite element algorithm based on the partition of unity for incompressible flows

H Zheng, J Yu, F Shi - Journal of Scientific Computing, 2015 - Springer
By combining two-grid method with domain decomposition method, a new local and parallel
finite element algorithm based on the partition of unity is proposed for the incompressible …

A parallel partition of unity scheme based on two-grid discretizations for the Navier–Stokes problem

G Du, L Zuo - Journal of Scientific Computing, 2018 - Springer
A parallel partition of unity scheme based on two-grid discretizations is proposed and
analyzed in this paper for the Navier–Stokes problem. A standard Galerkin finite element …

[HTML][HTML] New local and parallel finite element algorithm based on the partition of unity

H Zheng, F Shi, Y Hou, J Zhao, Y Cao… - Journal of Mathematical …, 2016 - Elsevier
In this study, based on a combination of the two-grid method and the partition of unity-based
domain decomposition method, we propose a new local and parallel finite element …

A novel local and parallel finite element method for the mixed Navier–Stokes–Darcy problem

X Wang, G Du, L Zuo - Computers & Mathematics with Applications, 2021 - Elsevier
In this paper, based on two-grid discretization, a new local and parallel finite element
method is proposed and investigated for the mixed Navier–Stokes–Darcy problem …

A New Local and Parallel Finite Element Method for the Coupled Stokes–Darcy Model

G Du, L Zuo, Y Zhang - Journal of Scientific Computing, 2022 - Springer
In this paper, based on two-grid discretizations and superposition principle, a new local and
parallel finite element method is presented and studied for the coupled Stokes–Darcy …

The partition of unity parallel finite element algorithm

H Zheng, L Song, Y Hou, Y Zhang - Advances in Computational …, 2015 - Springer
This paper presents a partition of unity parallel finite element algorithm. This algorithm
localizes the global residual problem of two grid method into some parallel local sub …

A parallel finite element post-processing algorithm for the damped Stokes equations

G Wang, B Zheng, Y Shang - Computers & Mathematics with Applications, 2024 - Elsevier
This paper presents and analyzes a parallel finite element post-processing algorithm for the
simulation of Stokes equations with a nonlinear damping term, which integrates the …