130826 20241125101141.0 doi 10.1016/j.apnum.2023.04.011 sideral 134115 ART-2023-134115 eng Gracia, J.L. Universidad de Zaragoza (orcid)0000-0003-2538-9027 A singularly perturbed convection-diffusion parabolic problem with incompatible boundary/initial data 2023 Access copy available to the general public Unrestricted A singularly perturbed parabolic problem of convection-diffusion type with incompatible inflow boundary and initial conditions is examined. In the case of constant coefficients, a set of singular functions are identified which match certain incompatibilities in the data and also satisfy the associated homogeneous differential equation. When the convective coefficient only depends on the time variable and the initial/boundary data is discontinuous, then a mixed analytical/numerical approach is taken. In the case of variable coefficients and the zero level of compatibility being satisfied (i.e. continuous boundary/initial data), a numerical method is constructed whose order of convergence is shown to depend on the next level of compatibility being satisfied by the data. Numerical results are presented to support the theoretical error bounds established for both of the approaches examined in the paper. info:eu-repo/grantAgreement/ES/DGA-FSE/E24-17R info:eu-repo/grantAgreement/ES/MICINN PID2019-105979GB-I00 info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 2.2 2023 MATHEMATICS, APPLIED 46 / 332 = 0.139 2023 Q1 T1 1.006 2023 Applied Mathematics 2023 Q1 Numerical Analysis 2023 Q1 Computational Mathematics 2023 Q1 5.6 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion O'Riordan, E. 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 190 (2023), 168-186 Appl. numer. math. APPLIED NUMERICAL MATHEMATICS 0168-9274 1384901 http://zaguan.unizar.es/record/130826/files/texto_completo.pdf Versión publicada 1662967 http://zaguan.unizar.es/record/130826/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:130826 articulos driver 2024-11-22-12:02:42 ARTICLE