Collocation and Green Functions for Elliptic Interface Problems

Abstract

This deposit contains the complete recorded numerical evidence for: *Benefits and limits of physics-informed point allocation for elliptic interface problems: Controlled RBF-FD, adjoint, and Robin-coupling comparisons* It includes the production and holdout archives for controlled PHS-RBF-FD interface experiments, smooth and localized-layer controls, nonquadratic coupling validation, the SPE10 Layer 68 allocation study, the 400-case adaptive comparison, and the 300-case Green-adjoint supplement. The archives preserve campaign metrics together with protocols, manifests, source snapshots, case records, iteration histories, saved states where required, and field arrays required to regenerate the manuscript figures and audit the reported results. The accompanying GitHub repository contains the executable Python sources, analysis scripts, figure generators, software requirements, and instructions for reproducing the figures, tables, and archive audits: The README file in this deposit describes each archive and its role in the manuscript. Failed cases are intentionally retained because the numerical acceptance criteria form part of the reported evidence. The SPE10 input data, if included, retain their original provenance and applicable redistribution terms.