This paper demonstrates how pseudo-transient continuation improves the efficiency and robustness of a Newton iteration within a non-linear transient elasticity simulation. Pseudo-transient continuation improves efficiency by enabling larger time steps than possible with a Newton iteration. Robustness improves because pseudo-transient continuation recovers the convergence of Newton's method when the initial iterate is not within the region of local convergence. We illustrate the benefits of pseudo-transient continuation on a non-linear transient simulation of a buckling cylinder, including a comparison with a line search-based Newton iteration.     «

This paper demonstrates how pseudo-transient continuation improves the efficiency and robustness of a Newton iteration within a non-linear transient elasticity simulation. Pseudo-transient continuation improves efficiency by enabling larger time steps than possible with a Newton iteration. Robustness improves because pseudo-transient continuation recovers the convergence of Newton's method when the initial iterate is not within the region of local convergence. We illustrate the benefits of pseud...     »