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

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

Picasso, Marco  
•
Prachittham, Virabouth
2009
Journal Of Computational And Applied Mathematics

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.

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