Convergence analysis of the rectangular Morley element scheme for second order problem in arbitrary dimensions (Q2360813)

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Convergence analysis of the rectangular Morley element scheme for second order problem in arbitrary dimensions
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    Convergence analysis of the rectangular Morley element scheme for second order problem in arbitrary dimensions (English)
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    29 June 2017
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    The authors present a complete analysis of the rectangular Morley element scheme for second-order problems in arbitrary dimensions. They provide a more careful analysis for the energy norm of the error for uniform triangulations. In this case, and for convex domains, an \(\mathcal{O}(h^{1.5})\) convergence rate is shown. Numerical experiments are also presented.
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    \(d\)-rectangular Morley element
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    second-order elliptic equation
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    convergence
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    superconvergence
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    lower bound estimate
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    numerical experiment
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