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.)