000136158 001__ 136158
000136158 005__ 20240719195438.0
000136158 0247_ $$2doi$$a10.1016/j.cam.2024.116094
000136158 0248_ $$2sideral$$a139141
000136158 037__ $$aART-2024-139141
000136158 041__ $$aeng
000136158 100__ $$0(orcid)0000-0003-2538-9027$$aGracia, José Luis$$uUniversidad de Zaragoza
000136158 245__ $$aSingularly perturbed elliptic problems of convection–diffusion type with non-smooth inflow/outflow boundary conditions
000136158 260__ $$c2024
000136158 5060_ $$aAccess copy available to the general public$$fUnrestricted
000136158 5203_ $$aA 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.
000136158 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E24-23R$$9info:eu-repo/grantAgreement/ES/MICINN/PID2022-137334NB-I00$$9info:eu-repo/grantAgreement/ES/MICINN/PID2022-141385NB-I00
000136158 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000136158 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000136158 700__ $$aO’Riordan, Eugene
000136158 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000136158 773__ $$g451 (2024), 116094 [14 pp.]$$pJ. comput. appl. math.$$tJournal of Computational and Applied Mathematics$$x0377-0427
000136158 8564_ $$s2948809$$uhttps://zaguan.unizar.es/record/136158/files/texto_completo.pdf$$yPostprint$$zinfo:eu-repo/date/embargoEnd/2025-06-26
000136158 8564_ $$s1105421$$uhttps://zaguan.unizar.es/record/136158/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint$$zinfo:eu-repo/date/embargoEnd/2025-06-26
000136158 909CO $$ooai:zaguan.unizar.es:136158$$particulos$$pdriver
000136158 951__ $$a2024-07-19-18:28:21
000136158 980__ $$aARTICLE