000125786 001__ 125786
000125786 005__ 20240731103330.0
000125786 0247_ $$2doi$$a10.1016/j.camwa.2023.03.010
000125786 0248_ $$2sideral$$a133241
000125786 037__ $$aART-2023-133241
000125786 041__ $$aeng
000125786 100__ $$0(orcid)0000-0003-1263-1996$$aClavero, Carmelo$$uUniversidad de Zaragoza
000125786 245__ $$aNumerical solution of singularly perturbed 2-D convection-diffusion elliptic interface PDEs with Robin-type boundary conditions
000125786 260__ $$c2023
000125786 5060_ $$aAccess copy available to the general public$$fUnrestricted
000125786 5203_ $$aWe consider a singularly perturbed two-dimensional convection-diffusion elliptic interface problem with Robin boundary conditions, where the source term is a discontinuous function. The coefficient of the highest-order terms in the differential equation and in the boundary conditions, denoted by ε, is a positive parameter which can be arbitrarily small. Due to the discontinuity in the source term and the presence of the diffusion parameter, the solutions to such problems have, in general, boundary, corner and weak-interior layers. In this work, a numerical approach is carried out using a finite-difference technique defined on an appropriated layer-adapted piecewise uniform Shishkin mesh to provide a good estimate of the error. We show some numerical results which corroborate in practice that these results are sharp.
000125786 536__ $$9info:eu-repo/grantAgreement/ES/DGA-FSE/E24-17R$$9info:eu-repo/grantAgreement/ES/MINECO/MTM2017-83490-P
000125786 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000125786 590__ $$a2.9$$b2023
000125786 592__ $$a0.949$$b2023
000125786 591__ $$aMATHEMATICS, APPLIED$$b20 / 331 = 0.06$$c2023$$dQ1$$eT1
000125786 593__ $$aComputational Theory and Mathematics$$c2023$$dQ1
000125786 593__ $$aModeling and Simulation$$c2023$$dQ1
000125786 593__ $$aComputational Mathematics$$c2023$$dQ2
000125786 594__ $$a5.1$$b2023
000125786 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000125786 700__ $$aShiromani, Ram
000125786 700__ $$aShanthi, Vembu
000125786 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000125786 773__ $$g140 (2023), [16 pp]$$pComput. math. appl.$$tCOMPUTERS & MATHEMATICS WITH APPLICATIONS$$x0898-1221
000125786 8564_ $$s2794631$$uhttps://zaguan.unizar.es/record/125786/files/texto_completo.pdf$$yVersión publicada
000125786 8564_ $$s2447819$$uhttps://zaguan.unizar.es/record/125786/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000125786 909CO $$ooai:zaguan.unizar.es:125786$$particulos$$pdriver
000125786 951__ $$a2024-07-31-09:46:22
000125786 980__ $$aARTICLE