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math.NA2024
A numerical method for scattering problems with unbounded interfaces
Tristan Goodwill, Charles L. Epstein
We introduce a new class of computationally tractable scattering problems in unbounded domains, which we call decomposable problems. In these decomposable problems, the computation…
math.NA2024★ 1 cited
A parametrix method for elliptic surface PDEs
Tristan Goodwill, Michael O'Neil
Elliptic problems along smooth surfaces embedded in three dimensions occur in thin-membrane mechanics, electromagnetics (harmonic vector fields), and computational geometry. In thi…