An adaptive algorithm for the Crank-Nicolson scheme applied to a time-dependent convection-diffusion problem
type: Item
instance of: scholarly article
title: An adaptive algorithm for the Crank-Nicolson scheme applied to a time-dependent convection-diffusion problem
zbMATH Open document ID: 1181.65113
author: Marco Picasso
author: Virabouth Prachittham
published in: Journal of Computational and Applied Mathematics
publication date: 2009-11-06T00:00:00Z
review text: On the basis of an a posteriori upper bound for a Crank-Nicolson scheme and special linear finite elements for the nonstationary convection-diffusion problem, a space and time adaptive algorithm is developed. Numerical examples are given including the convection dominated regime and boundary layers.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 65M60
zbMATH DE Number: 5627010
zbMATH Keywords: nonstationary convection-diffusion problem
zbMATH Keywords: Crank-Nicolson difference scheme
zbMATH Keywords: linear finite elements
zbMATH Keywords: a posteriori bound
zbMATH Keywords: adaptive algorithm
zbMATH Keywords: numerical examples
zbMATH Keywords: boundary layers
reviewed by: Iwan Gawriljuk
describes a project that uses: BL2D-V2
MaRDI profile type: Publication
full work available at URL: j.cam.2009.09.004
OpenAlex ID: W2018332410
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DOI: 10.1016/J.CAM.2009.09.004
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description: scientific article; zbMATH DE number 5627010