Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/11411
Title: Supraconvergence of elliptic finite difference schemes: general boundary conditions and low regularity
Authors: Ferreira, J. A. 
Keywords: Nonuniform grids; Finite difference scheme; Stability; Supraconvergence; Superconvergence of gradient
Issue Date: 2004
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 04-27 (2004)
Abstract: In this paper we study the convergence properties of a finite difference discretization of a second order elliptic equation with mixed derivatives and variable coefficient in polygonal domains subject to general boundary conditions. We prove that the finite difference scheme on nonuniform grids exhibit the phenomenon of supraconvergence, more precisely, for s ∈ [1, 2] order O(hs)-convergence of the finite difference solution and its gradient if the exact solution is in the Sobolev space Hs+1().
URI: http://hdl.handle.net/10316/11411
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Nacionais

Files in This Item:
File Description SizeFormat
Supraconvergence of elliptic finite difference schemes.pdf330.2 kBAdobe PDFView/Open
Show full item record

Page view(s) 20

446
checked on Nov 12, 2019

Download(s)

51
checked on Nov 12, 2019

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.