Collocation and Green Functions for Elliptic Interface Problems

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.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-13
DOI
https://doi.org/10.5281/zenodo.22730268
Primary Topic
Advanced Numerical Methods in Computational Mathematics
Type
article
Field-Weighted Citation Impact
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article

Collocation and Green Functions for Elliptic Interface Problems

Arturo Ortíz-Tapia, Martín A. Díaz-Viera
Zenodo (CERN European Organization for Nuclear Research)
Advanced Numerical Methods in Computational Mathematics
article

Collocation and Green Functions for Elliptic Interface Problems

Arturo Ortíz-Tapia, Martín A. Díaz-Viera
article en

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.

Zenodo (CERN European Organization for Nuclear Research)
Mexican Institute of Petroleum (MX)
Openalex Percentile: Top 13%
Advanced Numerical Methods in Computational Mathematics
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