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math.NA2026
LR-WaveHoltz: A Low-Rank Helmholtz Solver
Andreas Granath, Daniel Appelö, Siyang Wang
We propose a low-rank method for solving the Helmholtz equation. Our approach is based on the WaveHoltz method, which computes Helmholtz solutions by applying a time-domain filter…
math.NA2025
A hybrid numerical method for elastic wave propagation in discontinuous media with complex geometry
Andreas Granath, Siyang Wang
We develop a high order accurate numerical method for solving the elastic wave equation in second-order form. We hybridize the computationally efficient Cartesian grid formulation…