Y He - Applied Mathematics and Computation, 2023 - Elsevier
In this work, we propose three novel block-structured multigrid relaxation schemes based on distributive relaxation, Braess–Sarazin relaxation, and Uzawa relaxation, for solving the …
L Spies, L Olson, S MacLachlan - The International Journal …, 2024 - journals.sagepub.com
In recent years, solvers for finite-element discretizations of linear or linearized saddle-point problems, like the Stokes and Oseen equations, have become well established. There are …
In this work, a local Fourier analysis is presented to study the convergence of multigrid methods based on additive Schwarz smoothers. This analysis is presented as a general …
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 …
Y He, J Liu, XS Wang - Linear Algebra and its Applications, 2023 - Elsevier
In this paper we propose and analyze new efficient sparse approximate inverse (SAI) smoothers for solving the two-dimensional (2D) and three-dimensional (3D) Laplacian linear …
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 …
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 …
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 …
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 …