\(hp\)-adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains (Q2875719)

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scientific article; zbMATH DE number 6328569
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\(hp\)-adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains
scientific article; zbMATH DE number 6328569

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    11 August 2014
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    composite finite element method
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    discontinuous Galerkin methods
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    a posteriori error estimates
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    \(hp\)-adaptivity
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    \(hp\)-adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains (English)
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    The authors are concerned with a posteriori error estimation of \(hp\)-discontinuous Galerkin composite finite element method for discretization of second order PDEs. In particular, the authors obtain a computable upper bound on the error, expressed in terms of the underlying discontinuous Galerkin energy norm, also explicit in terms of the dependence on \(h\) and \(p\). Numerical examples using \(h\) and \(hp\) refinement on domains with a large number of holes are presented.
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