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- W4324105769 abstract "This paper constructs the first mixed finite element for the linear elasticity problem in 3D using $P_3$ polynomials for the stress and discontinuous $P_2$ polynomials for the displacement on tetrahedral meshes under some mild mesh conditions. The degrees of freedom of the stress space as well as the corresponding nodal basis are established by characterizing a space of some piecewise constant symmetric matrices on a patch around each edge. Macro-element techniques are used to define a stable interpolation to prove the discrete inf-sup condition. Optimal convergence is obtained theoretically." @default.
- W4324105769 created "2023-03-14" @default.
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- W4324105769 date "2023-03-10" @default.
- W4324105769 modified "2023-10-14" @default.
- W4324105769 title "A new mixed finite element for the linear elasticity problem in 3D" @default.
- W4324105769 doi "https://doi.org/10.48550/arxiv.2303.05805" @default.
- W4324105769 hasPublicationYear "2023" @default.
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