Montreal, Dec 1 - 4, 2023
We introduce a discrete energy based on a continuous finite element space and a discrete Hessian operator involving the jump of the gradient of the deformation across the interelement sides. We establish the $\Gamma$-convergence of the discrete energy and also present an energy-decreasing gradient flow for finding critical points of the discrete energy. We provide numerical simulations illustrating the capabilities of the model.
This is joint work with A. Bonito and A. Morvant (Texas A\&M).