Abstract
Elasticity problems are probably the most common use of the finite element method. Historically, they were indeed at the origin of the method. We have already considered in Chap. 8, in particular in Sect. 8.12, standard formulations of elasticity problems based on displacement variables. Considerations on the choice of elements have also be presented in Sect. 8.14.1. Our main concern will now be to present mixed methods using explicitly an approximation of the stress tensor, in which the equilibrium condition is strongly imposed on each element.
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Boffi, D., Brezzi, F., Fortin, M. (2013). Complements on Elasticity Problems. In: Mixed Finite Element Methods and Applications. Springer Series in Computational Mathematics, vol 44. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36519-5_9
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