Accelerated gradient flows for large bending deformations of nonlinear plates

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.