A posteriori discontinuous finite element error estimation for two-dimensional hyperbolic problems. (Q1871033)

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scientific article; zbMATH DE number 1906470
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A posteriori discontinuous finite element error estimation for two-dimensional hyperbolic problems.
scientific article; zbMATH DE number 1906470

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    A posteriori discontinuous finite element error estimation for two-dimensional hyperbolic problems. (English)
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    6 May 2003
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    The paper is concerned with an error analysis of the discontinuous Galerkin method for scalar hyperbolic equations in two space dimensions. The error analysis presented in this paper is used to construct simple and efficient a posteriori error estimates for smooth regions of solutions.
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    linear scalar hyperbolic equations
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    quasilinear scalar hyperbolic equations
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    error analysis
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    finite element method
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    discontinuous Galerkin method
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