Convergence of a scheme for an elastic flow with tangential mesh movement
Convergence of a scheme for an elastic flow with tangential mesh movement
Elastic flow for closed curves can involve significant deformations. Mesh-based approximation schemes require tangentially redistributing vertices for long-time computations. We present and analyze a method that uses the Dirichlet energy for this purpose. The approach effectively also penalizes the length of the curve, and equilibrium shapes are equivalent to stationary …