Author

Shubin Fu

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Preprint Oct 2026

A Physics-Driven Multiscale Method for High-Frequency Helmholtz Equations

We develop and analyze a physics-driven multiscale method for model reduction of the Helmholtz equation at high frequency. The method constructs a reduced approximation space from local wave responses within a mixed finite element formulation with velocity elimination. These responses are computed by solving Helmholtz...

Huang-Xin Chen, Jian-Hui Chen, Shu-Bin Fu et al. · 0 citations

#edge computing Preprint Aug 2026

A Fully Matrix-Free Three-Grid Preconditioner for the Time-Harmonic Maxwell Equations at Extreme Scale

Three-dimensional time-harmonic Maxwell simulations generate massive complex indefinite systems whose mesh coarsening is strictly limited by phase accuracy. Although matrix-free finite element kernels utilize GPU throughput efficiently, standard multilevel solvers are ultimately bottlenecked by the memory and communica...

Shubin Fu · 0 citations