A Discrete Differential Sequence for Elasticity Based upon Continuous Displacements

Patrice Hauret 1 Frédéric Hecht 2
2 ALPINES - Algorithms and parallel tools for integrated numerical simulations
LJLL - Laboratoire Jacques-Louis Lions, Institut National des Sciences Mathématiques et de leurs Interactions, Inria de Paris
Abstract : The present paper introduces a mixed stress-displacement method for linear elastic- ity as an extension of the work performed by Christiansen [Numer. Math., 119 (2011), pp. 613–640] for computational relativity. Moreover, we establish self-adjointness in a special sense and perform numerical simulations to assess the relevance of the method, including comparison with the recent TDNNS [A. Sinwel, A New Family of Mixed Finite Elements for Elasticity, Ph.D. thesis, Linz Uni- versity, 2009], [A. Pechstein and J. Scho ̈berl, Math. Models Methods Appl. Sci., 21 (2011), pp. 1761– 1782] mixed formulation. Extensions to higher order approximations and nonlinear elasticity are also introduced.
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Journal articles
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https://hal.inria.fr/hal-01358406
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Submitted on : Wednesday, August 31, 2016 - 5:06:29 PM
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Patrice Hauret, Frédéric Hecht. A Discrete Differential Sequence for Elasticity Based upon Continuous Displacements . SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2013, 35 (1), pp.24. ⟨http://epubs.siam.org/doi/abs/10.1137/110848189⟩. ⟨10.1137/110848189⟩. ⟨hal-01358406⟩

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