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- W2343060251 abstract "We propose two families of mixed finite elements for solving the classical Hellinger-Reissner mixed problem of the linear elasticity equations in three dimensions. First, a family of conforming mixed triangular prism elements is constructed by product of elements on triangular meshes and elements in one dimension. The well-posedness is established for all elements with $kgeq1$, which are of $k+1$ order convergence for both the stress and displacement. Besides, a family of reduced stress spaces is proposed by dropping the degrees of polynomial functions associated with faces. As a result, the lowest order conforming mixed triangular prism element has 93 plus 33 degrees of freedom on each element. Second, we construct a new family of nonconforming mixed tetrahedral elements. The shape function spaces of our stress spaces are different from those of the elements in literature." @default.
- W2343060251 created "2016-06-24" @default.
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- W2343060251 date "2016-04-26" @default.
- W2343060251 modified "2023-09-23" @default.
- W2343060251 title "Conforming mixed triangular prism and nonconforming mixed tetrahedral elements for the linear elasticity problem" @default.
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- W2343060251 doi "https://doi.org/10.48550/arxiv.1604.07903" @default.
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