Space-time finite element methods for surface diffusion with applications to the theory of the stability of cylinders. (English) Zbl 0868.65069
The authors present a family of space-time finite element approximation schemes for nonlinear partial differential equations and its application to the theory of the stability of cylinders. Examples are given of cases in which longitudinal perturbations with high wave-number spectra grow in amplitude. The results of finite element calculations are compared with the prediction of a perturbation analysis.
Reviewer: P.K.Mahanti (Ranchi)
MSC:
| 65M60 | Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs |
| 35K55 | Nonlinear parabolic equations |
| 74S05 | Finite element methods applied to problems in solid mechanics |
| 74A55 | Theories of friction (tribology) |
| 74M15 | Contact in solid mechanics |
