A stabilization-free CutFEM for bulk-surface Laplace-Beltrami problems uses harmonic extension via lattice Green's function to obtain uniformly bounded conditioning and optimal convergence rates.
Finite element methods for surface pdes.Acta Numerica, 22:289–396
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Stabilization and Operator Preconditioning of Bulk--Surface CutFEM via Harmonic Extension
A stabilization-free CutFEM for bulk-surface Laplace-Beltrami problems uses harmonic extension via lattice Green's function to obtain uniformly bounded conditioning and optimal convergence rates.