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

An adaptive algorithm for the Crank-Nicolson scheme applied to a time-dependent convection-diffusion problem (Q1034670)

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scientific article; zbMATH DE number 5627010
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An adaptive algorithm for the Crank-Nicolson scheme applied to a time-dependent convection-diffusion problem
scientific article; zbMATH DE number 5627010

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    An adaptive algorithm for the Crank-Nicolson scheme applied to a time-dependent convection-diffusion problem (English)
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    6 November 2009
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    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.
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    nonstationary convection-diffusion problem
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    Crank-Nicolson difference scheme
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    linear finite elements
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    a posteriori bound
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    adaptive algorithm
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    numerical examples
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    boundary layers
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