Weak Galerkin finite element methods for parabolic equations (Q2864602)

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scientific article; zbMATH DE number 6232504
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Weak Galerkin finite element methods for parabolic equations
scientific article; zbMATH DE number 6232504

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    26 November 2013
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    finite element methods
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    parabolic equations
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    weak Galerkin methods
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    numerical examples
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    error estimate
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    Weak Galerkin finite element methods for parabolic equations (English)
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    The authors propose a new weak Galerkin method for solving parabolic equations. The method allows the usage of totally discontinuous functions in approximation spaces and preserves the energy conservation law. Both continuous and discontinuous time weak Galerkin finite element schemes are developed and optimal-order error estimates in both \(H^1\) and \(L^2\) norms are obtained. The method is then tested by a couple of examples.
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