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Convergence of a Vertex centred Discretization of Two-Phase Darcy flows on General Meshes

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Academic year: 2021

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Figure 2: L 2 (0, t f , L 2 (Ω)) errors for the saturation S on the Cartesian, quadrangular and triangular meshes, P c,1 = 0.1.
Figure 3: L 2 (0, t f , L 2 (Ω)) errors for the saturation S on the Cartesian, hexahedral, tetrahedral and prismatic meshes, P c,1 = 0.1.
Figure 7: L 2 (0, t f , L 2 (Ω)) errors for S, P on the hexahedral meshes, the first choice of α s κ , and the capillary diffusion parameter P c,1 = 1, 0.1, 0.
Figure 8: Convergence of the L 2 error for S, P and ∇P for the 2D Cartesian meshes with P c,1 = 0.1 and the three choices 1, 2, 3 in this order of α s κ .
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