Superconvergent discontinuous Galerkin methods for nonlinear elliptic equations (Q2840611)

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scientific article; zbMATH DE number 6190114
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Superconvergent discontinuous Galerkin methods for nonlinear elliptic equations
scientific article; zbMATH DE number 6190114

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    Superconvergent discontinuous Galerkin methods for nonlinear elliptic equations (English)
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    23 July 2013
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    discontinuous Galerkin methods
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    nonlinear elliptic equations
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    superconvergence
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    discrete nonlinear system
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    numerical experiments
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    The paper deals with superconvergence results for nonselfadjoint nonlinear elliptic problems, using discontinuous Galerkin methods. Using a fixed point argument, the authors prove the existence of a solution to the discrete nonlinear system. Numerical experiments are also presented in the paper.
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