An adaptive algorithm for the Crank-Nicolson scheme applied to a time-dependent convection-diffusion problem

An adaptive algorithm for the Crank-Nicolson scheme applied to a time-dependent convection-diffusion problem

Picasso, Marco; Prachittham, Virabouth

2009

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Abstract

An a posteriori upper bound is derived for the nonstationary convection-diffusion problem using the Crank-Nicolson scheme and continuous, piecewise linear stabilized finite elements with large aspect ratio. Following Lozinski et al. (2009) [13], a quadratic time reconstruction is used.

Details

Title An adaptive algorithm for the Crank-Nicolson scheme applied to a time-dependent convection-diffusion problem

Author(s) Picasso, Marco ; Prachittham, Virabouth

Published in Journal Of Computational And Applied Mathematics

Volume 233

Pages 1139-1154

Date 2009

Publisher Elsevier

ISSN 0377-0427

Keywords

Adaptive finite elements; A posteriori error estimates; Convection-diffusion; Crank-Nicolson scheme; Finite-Element Methods; Posteriori Error Estimators; Advection-Diffusion; Tetrahedral Meshes; Stokes Problems; Equations; Flow

DOI https://doi.org/10.1016/j.cam.2009.09.004

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Record Appears in Scientific production and competences > SB - School of Basic Sciences > MATH - Institute of Mathematics > ASN - Chair of Numerical Analysis and Simulation
Scientific production and competences > SB - School of Basic Sciences > Mathematics
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Record creation date 2011-11-16