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Erschienen in:
2021 | OriginalPaper | Buchkapitel
29. Potential and flux recovery
verfasst von : Alexandre Ern, Jean-Luc Guermond
Erschienen in: Finite Elements II
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Abstract
This chapter addresses topics related to the approximation of Darcy’s equations using either mixed or \(H^1\)-conforming finite elements. Mixed finite elements provide a conforming approximation of the dual variable, but the connection to the gradient of the primal variable is enforced weakly. We show here how this connection can be made explicit using hybridization techniques. Alternatively, \(H^1\)-conforming finite elements provide a conforming approximation of the primal variable, but the conservation principle satisfied by the dual variable is enforced weakly. We show here how this connection can be made explicit by using a local post-processing technique.