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Normal-normal continuous symmetric stress approximation in three-dimensional linear elasticity (2502.00609v1)

Published 2 Feb 2025 in math.NA and cs.NA

Abstract: We present a conforming setting for a mixed formulation of linear elasticity with symmetric stress that has normal-normal continuous components across faces of tetrahedral meshes. We provide a stress element for this formulation with 30 degrees of freedom that correspond to standard boundary conditions. The resulting scheme converges quasi-optimally and is locking free. Numerical experiments illustrate the performance.

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