Two robust nonconforming $$\hbox {H}^2$$-elements for linear strain gradient elasticity
2017
We propose two finite elements to approximate a boundary value problem arising from strain gradient elasticity, which is a high order perturbation of the linearized elastic system. Our elements are \(\hbox {H}^2\)-nonconforming while \(\hbox {H}^1\)-conforming. We show both elements converge in the energy norm uniformly with respect to the perturbation parameter.
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