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.
Analysis of a high-order trace finite element method for pdes on level set surfaces.SIAM Journal on Numerical Analysis, 56(1):228–255
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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.