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• W2072959429 abstract "A cell conservative flux recovery technique is developed here for vertexcentered finite volume methods of second order elliptic equations. It is based on solving a local Neumann problem on each control volume using mixed finite element methods. The recovered flux is used to construct a constant free a posteriori error estimator which is proven to be reliable and efficient. Some numerical tests are presented to confirm the theoretical results. Our method works for general order finite volume methods and the recovery-based and residual-based a posteriori error estimators is the first result on a posteriori error estimators for high order finite volume methods. AMS subject classifications: 65N15, 65N30, 65N50" @default.
• W2072959429 created "2016-06-24" @default.
• W2072959429 creator A5012324763 @default.
• W2072959429 creator A5050281636 @default.
• W2072959429 date "2013-10-01" @default.
• W2072959429 modified "2023-09-24" @default.
• W2072959429 title "Cell Conservative Flux Recovery and A Posteriori Error Estimate of Vertex-Centered Finite Volume Methods" @default.
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• W2072959429 doi "https://doi.org/10.1017/s2070073300002393" @default.
• W2072959429 hasPublicationYear "2013" @default.
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