136158 20260218073542.0 doi 10.1016/j.cam.2024.116094 sideral 139141 ART-2024-139141 eng (orcid)0000-0003-2538-9027 Gracia, José Luis Universidad de Zaragoza Singularly perturbed elliptic problems of convection–diffusion type with non-smooth inflow/outflow boundary conditions 2024 Access copy available to the general public Unrestricted A singularly perturbed elliptic problem, with non-smooth inflow or non-smooth outflow boundary conditions, is examined. A decomposition of the continuous solution is constructed, whose components identify the various types of layer functions that can exist in the solution. Parameter-explicit pointwise bounds on the first three partial derivatives of these components are established. An appropriate Shishkin mesh is identified for the problem and this is combined with upwinding to form a numerical method. Parameter-uniform error bounds are deduced. Numerical results are presented to illustrate the performance of the numerical method. info:eu-repo/grantAgreement/ES/DGA/E24-23R info:eu-repo/grantAgreement/ES/MICINN/PID2022-137334NB-I00 info:eu-repo/grantAgreement/ES/MICINN/PID2022-141385NB-I00 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 2.6 2024 MATHEMATICS, APPLIED 35 / 344 = 0.102 2024 Q1 T1 0.688 2024 Computational Mathematics 2024 Q2 Applied Mathematics 2024 Q2 4.8 2024 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion O’Riordan, Eugene 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 451 (2024), 116094 [14 pp.] J. comput. appl. math. Journal of Computational and Applied Mathematics 0377-0427 2948809 http://zaguan.unizar.es/record/136158/files/texto_completo.pdf Postprint info:eu-repo/date/embargoEnd/2025-06-26 1105421 http://zaguan.unizar.es/record/136158/files/texto_completo.jpg?subformat=icon icon Postprint info:eu-repo/date/embargoEnd/2025-06-26 oai:zaguan.unizar.es:136158 articulos driver 2026-02-17-20:29:03 ARTICLE