000130826 001__ 130826
000130826 005__ 20240131210811.0
000130826 0247_ $$2doi$$a10.1016/j.apnum.2023.04.011
000130826 0248_ $$2sideral$$a134115
000130826 037__ $$aART-2023-134115
000130826 041__ $$aeng
000130826 100__ $$0(orcid)0000-0003-2538-9027$$aGracia, J.L.$$uUniversidad de Zaragoza
000130826 245__ $$aA singularly perturbed convection-diffusion parabolic problem with incompatible boundary/initial data
000130826 260__ $$c2023
000130826 5060_ $$aAccess copy available to the general public$$fUnrestricted
000130826 5203_ $$aA 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.
000130826 536__ $$9info:eu-repo/grantAgreement/ES/DGA-FSE/E24-17R$$9info:eu-repo/grantAgreement/ES/MICINN PID2019-105979GB-I00
000130826 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000130826 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000130826 700__ $$aO'Riordan, E.
000130826 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000130826 773__ $$g190 (2023), 168-186$$pAppl. numer. math.$$tAPPLIED NUMERICAL MATHEMATICS$$x0168-9274
000130826 8564_ $$s1384901$$uhttps://zaguan.unizar.es/record/130826/files/texto_completo.pdf$$yVersión publicada
000130826 8564_ $$s1662967$$uhttps://zaguan.unizar.es/record/130826/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000130826 909CO $$ooai:zaguan.unizar.es:130826$$particulos$$pdriver
000130826 951__ $$a2024-01-31-19:24:17
000130826 980__ $$aARTICLE