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Stress and flux reconstruction in Biot's poro-elasticity problem with application to a posteriori error analysis

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Academic year: 2021

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Figure 1 shows the corresponding degrees of freedom for l = 0 and l = 1. For each vertex a ∈ V h , the mixed Raviart–Thomas finite element spaces on the patch domain ω a are then defined as
Figure 2: The degrees of freedom of the space W h a in the case l = 0 on a patch for a ∈ V h int (left) and a ∈ V h ext (right)
Figure 3: Element diagrams for the pair (Σ T , V T ) in the cases m = 1 (left) and m = 2 (right)
Figure 4: The degrees of freedom of the space Σ a h in the case m = 1 on a patch for a ∈ V h int (left) and a ∈ V h ext (right)
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