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Asymptotic expansions and Richardson extrapolation of approximate solutions for integro-differential equations by mixed finite element methods - MaRDI portal

Asymptotic expansions and Richardson extrapolation of approximate solutions for integro-differential equations by mixed finite element methods (Q960004)

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scientific article; zbMATH DE number 5382727
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Asymptotic expansions and Richardson extrapolation of approximate solutions for integro-differential equations by mixed finite element methods
scientific article; zbMATH DE number 5382727

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    Asymptotic expansions and Richardson extrapolation of approximate solutions for integro-differential equations by mixed finite element methods (English)
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    16 December 2008
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    The authors study asymptotic error expansions for a mixed finite element approximation for integro-differential equations. The used approximations are improved by means of Richardson extrapolation. Two different schemes are derived to realize the studied technique. New asymptotic expansions are provided as well. A numerical example the demonstrates developed theory.
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    integro-differential equations
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    mixed finite element methods
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    interpolation post-processing
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    a-posteriori error estimators
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    asymptotic expansions
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    Richardson extrapolation
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    numerical example
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