Parameter-uniform numerical methods for singularly perturbed linear transport problems
Gracia Lozano, J. L. (Universidad de Zaragoza) ; Navas-Montilla, A. (Universidad de Zaragoza) ; O''Riordan, E.
Resumen: Pointwise accurate numerical methods are constructed and analysed for three classes of singularly perturbed first order transport problems. The methods involve piecewise-uniform Shishkin meshes and the numerical approximations are shown to be parameter-uniformly convergent in the maximum norm. A transport problem from the modelling of fluid–particle interaction is formulated and used as a test problem for these numerical methods. Numerical results are presented to illustrate the performance of the numerical methods and to confirm the theoretical error bounds established in the paper. © 2022 The Authors. Mathematical Methods in the Applied Sciences published by John Wiley & Sons, Ltd.
Idioma: Inglés
DOI: 10.1002/mma.8446
Año: 2022
Publicado en: Mathematical Methods in the Applied Sciences (2022), 8446 [22 p.]
ISSN: 0170-4214
Factor impacto JCR: 2.9 (2022)
Categ. JCR: MATHEMATICS, APPLIED rank: 29 / 267 = 0.109 (2022) - Q1 - T1
Factor impacto CITESCORE: 4.5 - Mathematics (Q1) - Engineering (Q2)
Factor impacto SCIMAGO: 0.628 - Engineering (miscellaneous) (Q1) - Mathematics (miscellaneous) (Q2)
Financiación: info:eu-repo/grantAgreement/ES/DGA-FEDER/E24-17R
Financiación: info:eu-repo/grantAgreement/ES/MICINN-FEDER/PGC2018-094341-B-I00
Financiación: info:eu-repo/grantAgreement/ES/MICINN PID2019-105979GB-I00
Tipo y forma: Article (Published version)
Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)
Área (Departamento): Área Mecánica de Fluidos (Dpto. Ciencia Tecnol.Mater.Fl.)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you must distribute your contributions under the same license as the original.
Exportado de SIDERAL (2024-03-18-15:56:49)
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Idioma: Inglés
DOI: 10.1002/mma.8446
Año: 2022
Publicado en: Mathematical Methods in the Applied Sciences (2022), 8446 [22 p.]
ISSN: 0170-4214
Factor impacto JCR: 2.9 (2022)
Categ. JCR: MATHEMATICS, APPLIED rank: 29 / 267 = 0.109 (2022) - Q1 - T1
Factor impacto CITESCORE: 4.5 - Mathematics (Q1) - Engineering (Q2)
Factor impacto SCIMAGO: 0.628 - Engineering (miscellaneous) (Q1) - Mathematics (miscellaneous) (Q2)
Financiación: info:eu-repo/grantAgreement/ES/DGA-FEDER/E24-17R
Financiación: info:eu-repo/grantAgreement/ES/MICINN-FEDER/PGC2018-094341-B-I00
Financiación: info:eu-repo/grantAgreement/ES/MICINN PID2019-105979GB-I00
Tipo y forma: Article (Published version)
Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)
Área (Departamento): Área Mecánica de Fluidos (Dpto. Ciencia Tecnol.Mater.Fl.)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you must distribute your contributions under the same license as the original. Exportado de SIDERAL (2024-03-18-15:56:49)
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Record created 2022-09-08, last modified 2024-03-19