Parameter-uniform approximations for a singularly perturbed convection-diffusion problem with a discontinuous initial condition

Gracia, J.L. (Universidad de Zaragoza) ; O'Riordan, E.

Resumen: A singularly perturbed parabolic problem of convection-diffusion type with a discontinuous initial condition is examined. A particular complimentary error function is identified which matches the discontinuity in the initial condition. The difference between this analytical function and the solution of the parabolic problem is approximated numerically. A coordinate transformation is used so that a layer-adapted mesh can be aligned to the interior layer present in the solution. Numerical analysis is presented for the associated numerical method, which establishes that the numerical method is a parameter-uniform numerical method. Numerical results are presented to illustrate the pointwise error bounds established in the paper.

Idioma: Inglés

DOI: 10.1016/j.apnum.2020.12.013

Año: 2021

Publicado en: APPLIED NUMERICAL MATHEMATICS 162 (2021), 106-123
ISSN: 0168-9274

Factor impacto JCR: 2.994 (2021)

Categ. JCR: MATHEMATICS, APPLIED rank: 31 / 267 = 0.116 (2021) - Q1 - T1

Factor impacto CITESCORE: 3.7 - Mathematics (Q1)

Factor impacto SCIMAGO: 0.993 - Numerical Analysis (Q1) - Applied Mathematics (Q1)

Financiación: info:eu-repo/grantAgreement/ES/DGA-FSE/E24-17R
Financiación: info:eu-repo/grantAgreement/ES/MINECO-MCIU/PGC2018-094341-B-I00
Financiación: info:eu-repo/grantAgreement/ES/MINECO-MCIU/PID2019-105979GB-I00

Tipo y forma: Article (PostPrint)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)