Real-shifting the coarsest grid correction in a 3-level multigrid cycle yields wavenumber-independent convergence for Helmholtz problems at 11-12 points per wavelength without relying on complex shifts.
Brandt , Multi-level adaptive solutions to boundary-value problems , Mathematics of computation, 31 (1977), pp
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Scalable Multigrid Solver for the Helmholtz Equation: Real-Shifted Coarse Grid Correction
Real-shifting the coarsest grid correction in a 3-level multigrid cycle yields wavenumber-independent convergence for Helmholtz problems at 11-12 points per wavelength without relying on complex shifts.