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An optimal error estimates of \(H^1\)-Galerkin expanded mixed finite element methods for nonlinear viscoelasticity-type equation - MaRDI portal

An optimal error estimates of \(H^1\)-Galerkin expanded mixed finite element methods for nonlinear viscoelasticity-type equation (Q410442)

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scientific article; zbMATH DE number 6021118
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An optimal error estimates of \(H^1\)-Galerkin expanded mixed finite element methods for nonlinear viscoelasticity-type equation
scientific article; zbMATH DE number 6021118

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    An optimal error estimates of \(H^1\)-Galerkin expanded mixed finite element methods for nonlinear viscoelasticity-type equation (English)
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    3 April 2012
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    Summary: We investigate a \(H^1\)-Galerkin mixed finite element method for nonlinear viscoelasticity equations based on \(H^1\)-Galerkin method and expanded mixed element method. The existence and uniqueness of solutions to the numerical scheme are proved. A priori error estimation is derived for the unknown function, the gradient function, and the flux.
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