The convergence of a Galerkin approximation scheme for an extensible beam. (English) Zbl 0727.73093
The equation governing the transverse displacement of an extensible beam with hinged ends is treated by a semi-discrete Galerkin approximate scheme. The rate of convergence and error estimates are discussed. A fully discrete scheme applying Crank-Nicolson time discretization is also discussed.
Reviewer: K.T.S.Iyengar (Bangalore)
MSC:
| 74S30 | Other numerical methods in solid mechanics (MSC2010) |
| 74H45 | Vibrations in dynamical problems in solid mechanics |
| 74K10 | Rods (beams, columns, shafts, arches, rings, etc.) |
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
Keywords:
stability; transverse displacement; hinged ends; semi-discrete Galerkin approximate scheme; rate of convergence; error estimates; Crank-Nicolson time discretizationReferences:
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