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Colección SciELO Chile

A hybrid mixed finite element method for convection-diffusion-reaction equation with local exponential fitting technique

Indexado

WoS	WOS:000976244800001
Scopus	SCOPUS_ID:85151799261

DOI

10.1016/J.APNUM.2023.03.009

Año

2023

Tipo

artículo de investigación

Citas Totales

Autores Afiliación Chile

Instituciones Chile

% Participación
Internacional

Autores
Afiliación Extranjera

Instituciones
Extranjeras

Abstract

A new hybrid mixed finite element method is proposed for solving the convection-diffusion-reaction equation with local exponential fitting technique. In this method, the exponential fitting technique in [7] is used to discretize the convection-diffusion-reaction equation by introducing a new variable at element level; then the hybrid mixed discontinuous Galerkin finite element method is used to approximate the discretized problem. The convergence of the proposed method is analyzed, and the corresponding a priori error estimate is derived. The numerical results are presented to confirm our theoretical analysis. (c) 2023 IMACS. Published by Elsevier B.V. All rights reserved.

Revista

Revista	ISSN
Applied Numerical Mathematics	0168-9274

Métricas Externas

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Disciplinas de Investigación

WOS
Mathematics, Applied

Scopus
Applied Mathematics
Computational Mathematics
Numerical Analysis

SciELO
Sin Disciplinas

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Publicaciones WoS (Ediciones: ISSHP, ISTP, AHCI, SSCI, SCI), Scopus, SciELO Chile.

Colaboración Institucional

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Autores - Afiliación

Ord.	Autor	Género	Institución - País
1	Zhang, Jiansong	-	China Univ Petr - China China University of Petroleum (East China) - China
2	Zhu, Jiang	-	MCTI - Brasil Laboratorio Nacional de Computacao Cientifica, Petropolis - Brasil
3	Poblete, Hector Andres Vargas	-	Universidad del Bío Bío - Chile
3	Vargas Poblete, Héctor Andrés	-	Universidad del Bío Bío - Chile
4	Jiang, Maosheng	-	Qingdao Univ - China Qingdao University - China

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Financiamiento

Fuente
National Natural Science Foundation of China
China Postdoctoral Science Foundation
Fundamental Research Funds for the Central Universities
Conselho Nacional de Desenvolvimento Científico e Tecnológico
Natural Science Foundation of Shandong Province
National Council for Scientific and Technological Development of Brazil (CNPq)
China Postdoctoral Science Foundation Funded Projection

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Agradecimientos

Agradecimiento
The authors would like to express their appreciations for anonymous reviewers' valuable comments and suggestions and Dr. Qingfeng Duan's helpful discussions in the coding process. J. Zhang's work was supported partially by the Natural Science Foundation of Shandong Province (ZR2019MA015) and the Fundamental Research Funds for the Central Universities (22CX03020A). J. Zhu's work was partially supported by the National Council for Scientific and Technological Development of Brazil (CNPq). M. Jiang was partially supported by the National Natural Science Foundation of China (12071046), the Natural Science Foundation of Shandong Province (ZR2021QA018) and China Postdoctoral Science Foundation Funded Projection (2022M721757).
The authors would like to express their appreciations for anonymous reviewers' valuable comments and suggestions and Dr. Qingfeng Duan's helpful discussions in the coding process. J. Zhang's work was supported partially by the Natural Science Foundation of Shandong Province ( ZR2019MA015 ) and the Fundamental Research Funds for the Central Universities ( 22CX03020A ). J. Zhu's work was partially supported by the National Council for Scientific and Technological Development of Brazil (CNPq). M. Jiang was partially supported by the National Natural Science Foundation of China ( 12071046 ), the Natural Science Foundation of Shandong Province ( ZR2021QA018 ) and China Postdoctoral Science Foundation Funded Projection ( 2022M721757 ).

Agradecimiento

The authors would like to express their appreciations for anonymous reviewers' valuable comments and suggestions and Dr. Qingfeng Duan's helpful discussions in the coding process. J. Zhang's work was supported partially by the Natural Science Foundation of Shandong Province (ZR2019MA015) and the Fundamental Research Funds for the Central Universities (22CX03020A). J. Zhu's work was partially supported by the National Council for Scientific and Technological Development of Brazil (CNPq). M. Jiang was partially supported by the National Natural Science Foundation of China (12071046), the Natural Science Foundation of Shandong Province (ZR2021QA018) and China Postdoctoral Science Foundation Funded Projection (2022M721757).

The authors would like to express their appreciations for anonymous reviewers' valuable comments and suggestions and Dr. Qingfeng Duan's helpful discussions in the coding process. J. Zhang's work was supported partially by the Natural Science Foundation of Shandong Province ( ZR2019MA015 ) and the Fundamental Research Funds for the Central Universities ( 22CX03020A ). J. Zhu's work was partially supported by the National Council for Scientific and Technological Development of Brazil (CNPq). M. Jiang was partially supported by the National Natural Science Foundation of China ( 12071046 ), the Natural Science Foundation of Shandong Province ( ZR2021QA018 ) and China Postdoctoral Science Foundation Funded Projection ( 2022M721757 ).