125786 20241125101135.0 doi 10.1016/j.camwa.2023.03.010 sideral 133241 ART-2023-133241 eng Clavero, Carmelo Universidad de Zaragoza (orcid)0000-0003-1263-1996 Numerical solution of singularly perturbed 2-D convection-diffusion elliptic interface PDEs with Robin-type boundary conditions 2023 Access copy available to the general public Unrestricted 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. info:eu-repo/grantAgreement/ES/DGA-FSE/E24-17R info:eu-repo/grantAgreement/ES/MINECO/MTM2017-83490-P info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 2.9 2023 MATHEMATICS, APPLIED 20 / 332 = 0.06 2023 Q1 T1 0.949 2023 Computational Theory and Mathematics 2023 Q1 Modeling and Simulation 2023 Q1 Computational Mathematics 2023 Q2 5.1 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Shiromani, Ram Shanthi, Vembu 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 140 (2023), [16 pp] Comput. math. appl. COMPUTERS & MATHEMATICS WITH APPLICATIONS 0898-1221 2794631 http://zaguan.unizar.es/record/125786/files/texto_completo.pdf Versión publicada 2447819 http://zaguan.unizar.es/record/125786/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:125786 articulos driver 2024-11-22-12:00:44 ARTICLE