Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/11163
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dc.contributor.authorBarbeiro, S.-
dc.contributor.authorFerreira, J. A.-
dc.contributor.authorPinto, L.-
dc.date.accessioned2009-08-26T13:13:30Z-
dc.date.available2009-08-26T13:13:30Z-
dc.date.issued2009-
dc.identifier.citationPré-Publicações DMUC. 09-25 (2009)en_US
dc.identifier.urihttp://hdl.handle.net/10316/11163-
dc.description.abstractIn this paper we study numerical methods for integro-differential initial boundary value problems that arise, naturally, in many applications such as heat conduction in materials with memory, diffusion in polymers and diffusion in porous media. We propose finite difference methods to compute approximations for the continuous solutions of such problems. For those methods we analyze the stability and study the convergence. We prove a supraconvergent estimate. As such methods can be seen as lumped mass methods, our supraconvergent result is a superconvergent result in the context of finite element methods. Numerical results illustrating the theoretical results are included.en_US
dc.description.sponsorshipCentre for Mathematics of University of Coimbra; Project PTDC/Mat/74548/2006; Project UTAustin/MAT/0066/2008en_US
dc.language.isoengen_US
dc.publisherCentro de Matemática da Universidade de Coimbraen_US
dc.rightsopenAccesseng
dc.subjectNon Fickian modelsen_US
dc.subjectFinite difference methoden_US
dc.subjectPiecewise linear finite element methoden_US
dc.subjectSupraconvergenceen_US
dc.subjectSuperconvergenceen_US
dc.titleH1-second order convergent estimates for non Fickian modelsen_US
dc.typepreprinten_US
uc.controloAutoridadeSim-
item.grantfulltextopen-
item.languageiso639-1en-
item.fulltextCom Texto completo-
crisitem.author.deptFaculty of Sciences and Technology-
crisitem.author.parentdeptUniversity of Coimbra-
crisitem.author.researchunitCMUC - Centre for Mathematics of the University of Coimbra-
crisitem.author.orcid0000-0002-2651-5083-
Appears in Collections:FCTUC Matemática - Vários
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