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Title: H1-second order convergent estimates for non Fickian models
Authors: Barbeiro, S. 
Ferreira, J. A. 
Pinto, L. 
Keywords: Non Fickian models; Finite difference method; Piecewise linear finite element method; Supraconvergence; Superconvergence
Issue Date: 2009
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 09-25 (2009)
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.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

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