Hui Zhang

most citedFourier Analysis of Finite Difference Schemes for the Helmholtz Equation in 1D with Dirichlet Conditions: Sharp Estimates and Relative Errors

1 citations · 1 across the 1 of their papers we have counts for

collaborators

3 papers

math.NA2026★ 1 cited

Fourier Analysis of Finite Difference Schemes for the Helmholtz Equation in 1D with Dirichlet Conditions: Sharp Estimates and Relative Errors

Martin J. Gander, Hui Zhang, Haiyang Zhou

We consider the Dirichlet problem of the indefinite Helmholtz equation in 1D, $u^{''} + k^{2} u = f$ in $(0, 1)$ , $u (0) = g_{0}$ , $u (1) = g_{1}$ , with a constant wavenumber $k\in(0,\infty)\backslashÏ…

math.NA2025

Hierarchical Coarse Basis by Randomised SVD: the Helmholtz Problem

Martin J. Gander, Yao-Lin Jiang, Hui Zhang

The oscillatory waves require sufficient degrees of freedom to resolve. That restriction usually applies also to coarse problems for Schwarz methods. The resulting coarse problem i…

math.NA2025

Natural damping of time-harmonic waves and its influence on Schwarz methods

Martin J. Gander, Hui Zhang

The influence of various damping on the performance of Schwarz methods for time-harmonic waves is visualized by Fourier analysis.