  In this paper, we propose and analyze a series of novel algorithms based on
projection-free accelerated gradient flows to minimize bending energies for
nonlinear plates with non-convex metric constraints. We discuss the stability
and constraint consistency in a semi-discrete setting for both bilayer and
prestrained plates. Our proposed algorithms demonstrate substantial
improvements, in both efficiency and accuracy, over current state-of-the-art
methods based on gradient flows.
