Exact conformal matching of three compactified regions enables global time-domain evolution of scalar waves from past to future null infinity in Minkowski space without artificial timelike boundaries.
From Penrose to Melrose: Computing Scattering Amplitudes at Infinity for Unbounded Media.arXiv preprint arXiv:2601.04167, 2026
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Develops H1-conforming FEM formulation of hyperboloidal compactification for exterior Helmholtz equation with explicit boundary mass term and benchmarks against PML.
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Hyperboloidal evolution for scalar scattering in Minkowski space
Exact conformal matching of three compactified regions enables global time-domain evolution of scalar waves from past to future null infinity in Minkowski space without artificial timelike boundaries.