Author

Shubin Fu

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Preprint Oct 2026

Discrete Edge Multiscale Space based Hybrid Schwarz Preconditioner for High-Frequency Helmholtz Problems

In this work, we develop a novel hybrid Schwarz method, termed as edge multiscale space based hybrid Schwarz (EMs-HS), for solving the Helmholtz problem with large wavenumbers. The problem is discretized using $H^1$-conforming nodal finite element methods on meshes of size $h$ decreasing faster than $k^{-3/2}$ such tha...

Shu-Bin Fu, Shi-Hua Gong, Guang-Lian Li et al. · 1 citation · ⚡1

Preprint Sep 2026

A Kernel-Aware Two-Grid Preconditioner for Cell-Centered Nearly Incompressible Elasticity

Nearly incompressible elasticity is often discretized by mixed methods to avoid locking, but the resulting saddle-point systems can be expensive to solve. We consider a weakly symmetric multipoint stress discretization whose stress and rotation unknowns can be eliminated independently over vertex interaction regions, l...

Shu-Bin Fu, Xiang Zhong · 0 citations

Preprint Aug 2026

A Massively Parallel Three-Grid Preconditioner for the High-Frequency Helmholtz Equation

Accurate simulation of three-dimensional time-harmonic wave propagation over many wavelengths requires control of phase error and efficient solution of large indefinite systems. We develop a three-grid solver based on the compact 27-point interpolated optimized finite-difference (IOFD) discretization. Its wavenumber-de...

Shu-Bin Fu, Yi-Tong Wang, Zi-Xiao Zhao · 0 citations