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.


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
Full Text: DOI EuDML


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