Numerical Locking Problems for Time-dependent Equations

摘要

We investigate the time evolution of a previous elliptic model. We study two models, a parabolic and a hyperbolic one, concerning the "numerical locking" phenomenon, namely two models for 3D curved rods clamped at the endpoints. We show that the convergence of the numerical schemes is independent of the discretization parameters and the thickness of the rod. We present corresponding numerical experiments.