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arxiv: 1407.4190 · v1 · pith:BJGOIOD2new · submitted 2014-07-16 · 🧮 math.NA

A family of symmetric mixed finite elements for linear elasticity on tetrahedral grids

classification 🧮 math.NA
keywords approximatedelasticityelementsfamilyfinitegridslinearmixed
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A family of stable mixed finite elements for the linear elasticity on tetrahedral grids are constructed, where the stress is approximated by symmetric $H(\d)$-$P_k$ polynomial tensors and the displacement is approximated by $C^{-1}$-$P_{k-1}$ polynomial vectors, for all $k\ge 4$. Numerical tests are provided.

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