Abstract
A locally conservative hybridized method for planar pure displacement elasticity problem is introduced. To avoid locking phenomena in numerical solutions we consider a mixed formulation by using an artificial pressure variable. By the nature of the hybridization approach, the artificial pressure is determined completely by the local Dirichlet data on the primal variables; hence, there is no increase of degrees of freedom in the global discrete system. A complete numerical analysis is provided and numerical experiments that confirm our analysis are presented.
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The research of this author was supported by NRF 2010-0021683. Supported in part by NRF 2012-0000153.
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Jeon, Y., Sheen, D. A locking-free locally conservative hybridized scheme for elasticity problems. Japan J. Indust. Appl. Math. 30, 585–603 (2013). https://doi.org/10.1007/s13160-013-0117-1
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DOI: https://doi.org/10.1007/s13160-013-0117-1