Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/11163
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Barbeiro, S. | - |
dc.contributor.author | Ferreira, J. A. | - |
dc.contributor.author | Pinto, L. | - |
dc.date.accessioned | 2009-08-26T13:13:30Z | - |
dc.date.available | 2009-08-26T13:13:30Z | - |
dc.date.issued | 2009 | - |
dc.identifier.citation | Pré-Publicações DMUC. 09-25 (2009) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/11163 | - |
dc.description.abstract | In 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.sponsorship | Centre for Mathematics of University of Coimbra; Project PTDC/Mat/74548/2006; Project UTAustin/MAT/0066/2008 | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Centro de Matemática da Universidade de Coimbra | en_US |
dc.rights | openAccess | eng |
dc.subject | Non Fickian models | en_US |
dc.subject | Finite difference method | en_US |
dc.subject | Piecewise linear finite element method | en_US |
dc.subject | Supraconvergence | en_US |
dc.subject | Superconvergence | en_US |
dc.title | H1-second order convergent estimates for non Fickian models | en_US |
dc.type | preprint | en_US |
uc.controloAutoridade | Sim | - |
item.grantfulltext | open | - |
item.fulltext | Com Texto completo | - |
item.openairetype | preprint | - |
item.languageiso639-1 | en | - |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
item.cerifentitytype | Publications | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0002-2651-5083 | - |
Appears in Collections: | FCTUC Matemática - Vários |
Files in This Item:
File | Description | Size | Format | |
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H1-second order convergent estimates for non Fickian models.pdf | 245.97 kB | Adobe PDF | View/Open |
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