163131 20251009145936.0 doi 10.1016/j.camwa.2025.08.025 sideral 145617 ART-2025-145617 eng Gracia, José Luis Universidad de Zaragoza (orcid)0000-0003-2538-9027 Singularly perturbed convection-diffusion elliptic problems with a non-smooth forcing term 2025 Singularly perturbed elliptic problems, of convection-diffusion type, with a non-smooth forcing term are examined. The lack of smoothness arises from the forcing term either containing an interior layer or being discontinuous across an interface. In addition to the presence of several different kinds of boundary and corner layers, this forcing term introduces an interior layer in the solution. For both problem classes, 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 partial derivatives of these components are then established. An appropriate Shishkin mesh is identified and this is combined with upwinding to form a numerical method for each problem class. Parameter-uniform error bounds in the maximum norm are deduced. Numerical results are presented to illustrate the performance of both numerical methods. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/DGA/E24-23R info:eu-repo/grantAgreement/ES/MICINN/PID2022-141385NB-I00 info:eu-repo/semantics/openAccess by-nc-nd https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion O'Riordan, Eugene 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 196 (2025), 458-476 Comput. math. appl. COMPUTERS & MATHEMATICS WITH APPLICATIONS 0898-1221 1866409 http://zaguan.unizar.es/record/163131/files/texto_completo.pdf Versión publicada 1870358 http://zaguan.unizar.es/record/163131/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:163131 articulos driver 2025-10-08-12:59:48 ARTICLE