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arxiv: 1006.0995 · v1 · pith:RIOTFXFCnew · submitted 2010-06-04 · 🧮 math.NA · cs.NA

Mixed hp-finite element method for linear elasticity with weakly imposed symmetry III: Stability analysis in 3D

classification 🧮 math.NA cs.NA
keywords analysiselasticityelementsgeneralizationlinearstabilityaddressesarnold-falk-winther
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The paper presents a generalization of Arnold-Falk-Winther elements for three dimensional linear elasticity, to meshes with elements of variable order. The generalization is straightforward but the stability analysis involves a non-trivial modification of involved interpolation operators. The analysis addresses only the h-convergence.

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