GPU Accelerating Algorithms for Three-Layered Heat Conduction Simulations

dc.contributor.authorNicolás Murúa
dc.contributor.authorAníbal Coronel
dc.contributor.authorAlex Tello
dc.contributor.authorStefan Berres
dc.contributor.authorFernando Huancas
dc.date.accessioned2026-03-16T15:37:49Z
dc.date.available2026-03-16T15:37:49Z
dc.date.issued2024
dc.description.abstractIn this paper, we consider the finite difference approximation for a one-dimensional mathematical model of heat conduction in a three-layered solid with interfacial conditions for temperature and heat flux between the layers. The finite difference scheme is unconditionally stable, convergent, and equivalent to the solution of two linear algebraic systems. We evaluate various methods for solving the involved linear systems by analyzing direct and iterative solvers, including GPU-accelerated approaches using CuPy and PyCUDA. We evaluate performance and scalability and contribute to advancing computational techniques for modeling complex physical processes accurately and efficiently.
dc.description.sponsorshipANID- FONDECYT project 1230560 and FONDEF project ID23I10026 VRIIP of Universidad de Antofagasta, and by the Competition for Research Regular Projects, year 2023, code LPR23-03, Universidad Tecnológica Metropolitana.
dc.identifier.doi10.3390/math12223503
dc.identifier.issn22277390
dc.identifier.urihttps://repositorioabierto.uantof.cl/handle/uantof/664
dc.language.isoen
dc.rightsAttribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.sourceMathematics
dc.titleGPU Accelerating Algorithms for Three-Layered Heat Conduction Simulations
dc.typeArticle
oaire.citation.volume12
organization.identifier.rorUniversidad de Antofagasta
uantof.identificator.departmentDepartamento de Matemáticas
uantof.identificator.facultyFacultad de Ciencias Básicas
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