GPU Accelerating Algorithms for Three-Layered Heat Conduction Simulations

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dc.contributor.authorMurúa, Nicolás
dc.contributor.authorCoronel, Aníbal
dc.contributor.authorTello, Alex
dc.contributor.authorBerres, Stefan
dc.contributor.authorHuancas, Fernando
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.issn2227-7390
dc.identifier.urihttps://repositorioabierto.uantof.cl/handle/uantof/664
dc.language.isoen
dc.publisherMDPI
dc.rightsAttribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.sourceMathematics
dc.subjectsparse linear systems
dc.subjectfinite difference method
dc.subjectheat transfer
dc.subjectGPU acceleration
dc.subjecthigh-performance computing
dc.subjectparallel processing
dc.subjectcomputational efficiency
dc.titleGPU Accelerating Algorithms for Three-Layered Heat Conduction Simulations
dc.typeArticle
oaire.citation.issue22
oaire.citation.volume12
organization.identifier.rorhttps://ror.org/04eyc6d95
organization.legalNameUniversidad de Antofagasta
uantof.identificator.departmentDepartamento de Matemáticas
uantof.identificator.facultyFacultad de Ciencias Básicas
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