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20142022
most citedLocal Fourier analysis for mixed finite-element methods for the Stokes equations

16 citations · 75 across the 30 of their papers we have counts for

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8 papers · 1 filter

quant-ph2022★ 11 cited

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…

math.NA2022

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…

math.NA2022

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…

math.NA2022

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…

math.NA2022

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…

math.NA2022

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…

math.NA2022

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…

math.NA2022★ 1 cited

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…