Numerical solution of singularly perturbed 2-D convection-diffusion elliptic interface PDEs with Robin-type boundary conditions

Clavero, Carmelo (Universidad de Zaragoza) ; Shiromani, Ram ; Shanthi, Vembu

Resumen: We consider a singularly perturbed two-dimensional convection-diffusion elliptic interface problem with Robin boundary conditions, where the source term is a discontinuous function. The coefficient of the highest-order terms in the differential equation and in the boundary conditions, denoted by ε, is a positive parameter which can be arbitrarily small. Due to the discontinuity in the source term and the presence of the diffusion parameter, the solutions to such problems have, in general, boundary, corner and weak-interior layers. In this work, a numerical approach is carried out using a finite-difference technique defined on an appropriated layer-adapted piecewise uniform Shishkin mesh to provide a good estimate of the error. We show some numerical results which corroborate in practice that these results are sharp.

Idioma: Inglés

DOI: 10.1016/j.camwa.2023.03.010

Año: 2023

Publicado en: COMPUTERS & MATHEMATICS WITH APPLICATIONS 140 (2023), [16 pp]
ISSN: 0898-1221

Factor impacto JCR: 2.9 (2023)

Categ. JCR: MATHEMATICS, APPLIED rank: 20 / 332 = 0.06 (2023) - Q1 - T1

Factor impacto CITESCORE: 5.1 - Computational Mathematics (Q1) - Modeling and Simulation (Q1) - Computational Theory and Mathematics (Q1)

Factor impacto SCIMAGO: 0.949 - Computational Theory and Mathematics (Q1) - Modeling and Simulation (Q1) - Computational Mathematics (Q2)

Financiación: info:eu-repo/grantAgreement/ES/DGA-FSE/E24-17R
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2017-83490-P

Tipo y forma: Article (Published version)

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