000163131 001__ 163131
000163131 005__ 20251009145936.0
000163131 0247_ $$2doi$$a10.1016/j.camwa.2025.08.025
000163131 0248_ $$2sideral$$a145617
000163131 037__ $$aART-2025-145617
000163131 041__ $$aeng
000163131 100__ $$0(orcid)0000-0003-2538-9027$$aGracia, José Luis$$uUniversidad de Zaragoza
000163131 245__ $$aSingularly perturbed convection-diffusion elliptic problems with a non-smooth forcing term
000163131 260__ $$c2025
000163131 5060_ $$aAccess copy available to the general public$$fUnrestricted
000163131 5203_ $$aSingularly 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.
000163131 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E24-23R$$9info:eu-repo/grantAgreement/ES/MICINN/PID2022-141385NB-I00
000163131 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
000163131 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000163131 700__ $$aO'Riordan, Eugene
000163131 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000163131 773__ $$g196 (2025), 458-476$$pComput. math. appl.$$tCOMPUTERS & MATHEMATICS WITH APPLICATIONS$$x0898-1221
000163131 8564_ $$s1866409$$uhttps://zaguan.unizar.es/record/163131/files/texto_completo.pdf$$yVersión publicada
000163131 8564_ $$s1870358$$uhttps://zaguan.unizar.es/record/163131/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000163131 909CO $$ooai:zaguan.unizar.es:163131$$particulos$$pdriver
000163131 951__ $$a2025-10-08-12:59:48
000163131 980__ $$aARTICLE