Optimal smoothing factor with coarsening by a factor of three for the MAC scheme for the Stokes equations

Y He - Computers & Mathematics with Applications, 2023 - Elsevier
In this work, we propose a local Fourier analysis for multigrid methods with coarsening by a
factor of three for the staggered finite-difference method applied to the Stokes equations. In …

Optimal smoothing factor with coarsening by three for the MAC scheme for the Stokes equations

Y He - arXiv preprint arXiv:2203.04474, 2022 - arxiv.org
In this work, we propose a local Fourier analysis for multigrid methods with coarsening by a
factor of three for the staggered finite-difference method applied to the Stokes equations. In …

Smoothing analysis of two robust multigrid methods for elliptic optimal control problems

Y He, J Liu - SIAM Journal on Matrix Analysis and Applications, 2023 - SIAM
In this paper we study and compare two multigrid relaxation schemes with coarsening by
two, three, and four for solving elliptic sparse optimal control problems with control …

Parameter-robust Braess-Sarazin-type smoothers for linear elasticity problems

Y He, Y Li - arXiv preprint arXiv:2204.10462, 2022 - arxiv.org
In this work, we propose three Braess-Sarazin-type multigrid relaxation schemes for solving
linear elasticity problems, where the marker and cell scheme, a finite difference method, is …

A novel multigrid method for elliptic distributed control problems

Y He - Journal of Computational and Applied Mathematics, 2023 - Elsevier
Large linear systems of saddle-point type have arisen in a wide variety of applications
throughout computational science and engineering. The discretizations of distributed control …

A Vanka‐based parameter‐robust multigrid relaxation for the Stokes–Darcy Brinkman problems

Y He - Numerical Linear Algebra with Applications, 2023 - Wiley Online Library
We consider a block‐structured multigrid method based on Braess–Sarazin relaxation for
solving the Stokes–Darcy Brinkman equations discretized by the marker and cell scheme. In …