16 citations · 75 across the 30 of their papers we have counts for
30 papers
Superradiance-induced multistability in driven Rydberg lattice gases
Yunhui He, Zhengyang Bai, Yuechun Jiao +2
We study steady state phases of a one-dimensional array of Rydberg atoms coupled by a microwave (MW) field where the higher energy Rydberg state decays to the lower energy one via…
Block Preconditioners for the Marker-and-Cell Discretization of the Stokes-Darcy Equations
Chen Greif, Yunhui He
We consider the problem of iteratively solving large and sparse double saddle-point systems arising from the stationary Stokes-Darcy equations in two dimensions, discretized by the…
Optimized sparse approximate inverse smoothers for solving Laplacian linear systems
Yunhui He, Jun Liu, Xiang-Sheng Wang
In this paper we propose and analyze new efficient sparse approximate inverse (SPAI) smoothers for solving the two-dimensional (2D) and three-dimensional (3D) Laplacian linear syst…
Parameter-robust Braess-Sarazin-type smoothers for linear elasticity problems
Yunhui He, Yu Li
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…
A Vanka-based parameter-robust multigrid relaxation for the Stokes-Darcy Brinkman problems
Yunhui He
We propose a block-structured multigrid relaxation scheme for solving the Stokes-Darcy Brinkman equations discretized by the marker and cell scheme. An element-based additive Vanka…
Smoothing analysis of two robust multigrid methods for elliptic optimal control problems
Yunhui He, Jun Liu
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 constr…
A Vanka-type multigrid solver for complex-shifted Laplacian systems from diagonalization-based parallel-in-time algorithms
Yunhui He, Jun Liu
We propose and analyze a Vanka-type multigrid solver for solving a sequence of complex-shifted Laplacian systems arising in diagonalization-based parallel-in-time algorithms for ev…
Optimal smoothing factor with coarsening by three for the MAC scheme for the Stokes equations
Yunhui He
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 equati…
A novel multigrid method for elliptic distributed control problems
Yunhui He
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…
Novel mass-based multigrid relaxation schemes for the Stokes equations
Yunhui He
In this work, we propose three novel block-structured multigrid relaxation schemes based on distributive relaxation, Braess-Sarazin relaxation, and Uzawa relaxation, for solving th…
A note on using the mass matrix as a preconditioner for the Poisson equation
Chen Greif, Yunhui He
We show that the mass matrix derived from finite elements can be effectively used as a preconditioner for iteratively solving the linear system arising from finite-difference discr…
A closed-form multigrid smoothing factor for an additive Vanka-type smoother applied to the Poisson equation
Chen Greif, Yunhui He
We consider an additive Vanka-type smoother for the Poisson equation discretized by the standard finite difference centered scheme. Using local Fourier analysis, we derive analytic…
HSS(0): an Improved Hermitian/Skew-Hermitian Splitting Iteration
Chen Greif, Yunhui He
We propose an improved version of the Hermitian/skew-Hermitian splitting (HSS) iterative method, which we call HSS(0), to solve non-Hermitian linear systems with a positive definit…
Anderson Acceleration as a Krylov Method with Application to Asymptotic Convergence Analysis
Hans De Sterck, Yunhui He, Oliver A. Krzysik
Anderson acceleration (AA) is widely used for accelerating the convergence of nonlinear fixed-point methods , , but little is known about ho…
Linear Asymptotic Convergence of Anderson Acceleration: Fixed-Point Analysis
Hans De Sterck, Yunhui He
We study the asymptotic convergence of AA(), i.e., Anderson acceleration with window size for accelerating fixed-point methods , . Convergence…
Local Fourier analysis of Balancing Domain Decomposition by Constraints algorithms
Jed Brown, Yunhui He, Scott MacLachlan
Local Fourier analysis is a commonly used tool for the analysis of multigrid and other multilevel algorithms, providing both insight into observed convergence rates and predictive…
Local Fourier Analysis of P-Multigrid for High-Order Finite Element Operators
Jeremy L. Thompson, Jed Brown, Yunhui He
Multigrid methods are popular for solving linear systems derived from discretizing PDEs. Local Fourier Analysis (LFA) is a technique for investigating and tuning multigrid methods.…
Monolithic multigrid for a reduced-quadrature discretization of poroelasticity
James H. Adler, Yunhui He, Xiaozhe Hu +2
Advanced finite-element discretizations and preconditioners for models of poroelasticity have attracted significant attention in recent years. The equations of poroelasticity offer…
Low-order preconditioning of the Stokes equations
Alexey Voronin, Yunhui He, Scott MacLachlan +2
A well-known strategy for building effective preconditioners for higher-order discretizations of some PDEs, such as Poisson's equation, is to leverage effective preconditioners for…
On the Asymptotic Linear Convergence Speed of Anderson Acceleration Applied to ADMM
Dawei Wang, Yunhui He, Hans De Sterck
Empirical results show that Anderson acceleration (AA) can be a powerful mechanism to improve the asymptotic linear convergence speed of the Alternating Direction Method of Multipl…
On the Asymptotic Linear Convergence Speed of Anderson Acceleration, Nesterov Acceleration, and Nonlinear GMRES
Hans De Sterck, Yunhui He
We consider nonlinear convergence acceleration methods for fixed-point iteration , including Anderson acceleration (AA), nonlinear GMRES (NGMRES), and Nesterov-type…
Local Fourier analysis of multigrid for hybridized and embedded discontinuous Galerkin methods
Yunhui He, Sander Rhebergen, Hans De Sterck
In this paper we present a geometric multigrid method with Jacobi and Vanka relaxation for hybridized and embedded discontinuous Galerkin discretizations of the Laplacian. We prese…
Tuning Multigrid Methods with Robust Optimization
Jed Brown, Yunhui He, Scott MacLachlan +2
Local Fourier analysis is a useful tool for predicting and analyzing the performance of many efficient algorithms for the solution of discretized PDEs, such as multigrid and domain…
A local Fourier analysis of additive Vanka relaxation for the Stokes equations
Patrick E. Farrell, Yunhui He, Scott P. MacLachlan
Multigrid methods are popular solution algorithms for many discretized PDEs, either as standalone iterative solvers or as preconditioners, due to their high efficiency. However, th…