Pseudo-transient continuation for nonlinear transient elasticity. (English) Zbl 1183.74276
Summary: 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.
MSC:
| 74S05 | Finite element methods applied to problems in solid mechanics |
| 74B05 | Classical linear elasticity |
Keywords:
transient elasticity; finite element approximation; pseudo-transient continuation; Newton’s methodReferences:
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