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| DOI | 10.1016/J.CMA.2024.117089 | ||||
| Año | 2024 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
We propose a new family of multiscale hybrid mixed methods (MHM) for the reactiveadvective-diffusive (RAD) equation in complex domains. It generalizes the MHM methods originally proposed in Harder, Paredes and Valentin (2013 and 2015) to polytopal meshes and covers all asymptotic regimes of the model within a single mathematical framework. As a result, the skeletal MHM method changes its structure automatically, from primal to mixed forms, depending on the asymptotic of local RAD solutions, which respond to multiscale basis functions at the element level. We establish the existence, uniqueness, and optimality of the MHM solution with respect to two -scale mesh parameters, relating it to the solution of a discrete primal hybrid version of the RAD model. Furthermore, we estimate the condition number of the matrices associated with the local problems responsible for upscaling, from which we establish upper limits for the condition number of the algebraic system associated with the MHM method. Numerical experiments validate theoretical results.
| WOS |
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| Engineering, Multidisciplinary |
| Mechanics |
| Mathematics, Interdisciplinary Applications |
| Scopus |
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| Computer Science Applications |
| Mechanics Of Materials |
| Mechanical Engineering |
| Physics And Astronomy (All) |
| Computational Mechanics |
| SciELO |
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| Sin Disciplinas |
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | ARAYA-DURAN, RODOLFO ANTONIO | Hombre |
Universidad de Concepción - Chile
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| 2 | Jaillet, Fabrice | Hombre |
UCBL - Francia
CNRS Centre National de la Recherche Scientifique - Francia |
| 3 | Paredes, Diego | Hombre |
Universidad de Concepción - Chile
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| 4 | Valentin, Frederic | Hombre |
Natl Lab Sci Comp - Brasil
Laboratorio Nacional de Computacao Cientifica, Petropolis - Brasil |
| Fuente |
|---|
| Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro |
| Conselho Nacional de Desenvolvimento Científico e Tecnológico |
| CNPq/Brazil |
| Concurso Apoyo a Centros Científicos y Tecnológicos de Excelencia con Financiamiento Basal |
| INRIA/France |
| FAPERJ, Brazil |
| Brazil |
| ANID-Chile |
| Project EOLIS |
| ANID-Chile through grant |
| Agradecimiento |
|---|
| The first author was partially supported by ANID-Chile through grant AFB170001 of the PIA Program: Concurso Apoyo a Centros Cientificos y Tecnologicos de Excelencia con Financiamiento Basal, and grant FONDECYT-1211649. The third author was partially supported by Project EOLIS (MATH-AMSUD 21-MATH-04) and ANID-Chile through grant FONDECYT-1181572. The fourth author was partially supported by CNPq/Brazil No. 309173/2020-5 and FAPERJ, Brazil E-26/201.182.2021, Project EOLIS (MATH-AMSUD 21-MATH-04) and Inria/France under the Inria International Chair. |
| The first author was partially supported by ANID-Chile through grant AFB170001 of the PIA Program: Concurso Apoyo a Centros Cient\u00EDficos y Tecnol\u00F3gicos de Excelencia con Financiamiento Basal and grant FONDECYT-1211649 . The third author was partially supported by Project EOLIS ( MATH-AMSUD 21-MATH-04 ) and ANID-Chile through grant FONDECYT-1181572 . The fourth author was partially supported by CNPq/Brazil No. 309173/2020-5 and FAPERJ E-26/201.182.2021 , Project EOLIS ( MATH-AMSUD 21-MATH-04 ) and Inria/France under the Inria International Chair. |