McMg is a phase-space multi-channel multigrid preconditioner that maps residuals to corrections while retaining unresolved wave information in extra channels, showing fewer iterations and lower runtime than classical and neural baselines on high-wavenumber 3D Helmholtz problems.
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2026 2verdicts
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Proves well-posedness and derives explicit convergence estimates for parallel overlapping domain decomposition with impedance boundary conditions for time-harmonic Maxwell equations in heterogeneous media, with discrete Nedelec FEM inheritance under mesh-refinement approximation.
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McMg: A Learned Phase-Space Multi-channel Multigrid Preconditioner for Helmholtz Equation
McMg is a phase-space multi-channel multigrid preconditioner that maps residuals to corrections while retaining unresolved wave information in extra channels, showing fewer iterations and lower runtime than classical and neural baselines on high-wavenumber 3D Helmholtz problems.
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Convergence of parallel overlapping domain decomposition methods with impedance boundary conditions for time-harmonic Maxwell equations in heterogeneous media
Proves well-posedness and derives explicit convergence estimates for parallel overlapping domain decomposition with impedance boundary conditions for time-harmonic Maxwell equations in heterogeneous media, with discrete Nedelec FEM inheritance under mesh-refinement approximation.