A Posteriori Error Estimations of Some Cell-Centered Finite Volume Methods
作者： Serge Nicaise
DOI: 10.1137/S0036142903437787
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摘要: This paper presents the natural framework to residual based a posteriori error estimation of some cell-centered finite volume methods for Laplace equation in $\R^d, d=2$ or 3. For that purpose we associate with solution reconstructed approximation, which is kind Morley interpolant. The then difference between exact and this estimator on jump normal tangential derivatives We prove equivalence discrete H1 seminorm estimator. Numerical tests confirm our theoretical results.
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