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math.NA2026
Dispersion-corrected compact finite difference discretizations for the elastic Helmholtz equation in two and three dimensions
Rachel Yovel, Eli Turkel, Eran Treister
We develop a family of compact, dispersion-corrected marker-and-cell (MAC)-based finite-difference discretizations for the elastic Helmholtz equation. While dispersion correction i…
math.NA2026
Asymptotic dispersion correction for the isotropic elastic Helmholtz equation discretized with a MAC scheme
Pierre-Henri Cocquet, Antoine Tonnoir, Rachel Yovel
The numerical simulation of time-harmonic wave propagation in elastic media plays an important role in applications such as geophysics and non-destructive testing. Accurate discret…
math.NA2026
Scalable Multigrid Solver for the Helmholtz Equation: Real-Shifted Coarse Grid Correction
Rachel Yovel, Eran Treister
We present a convergent and scalable multigrid solver for high-frequency Helmholtz equations. Standard multigrid methods do not converge for high-frequency Helmholtz problems, and…