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Convergence of Boobnov-Galerkin Method Exemplified

2004

In this Note, Boobnov–Galerkin’s method is proved to converge to an exact solution for an applied mechanics problem. We address in detail the interrelation of Boobnov–Galerkin method and the exact solution in the beam deflection problems. Namely, we show the coincidence of these two methods for clamped–clamped boundary conditions, using an alternative set of functions proposed by Filonenko-Borodich.12 Received 25 February 2003; accepted for publication 13 March 2004. Copyright c 2004 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved. Copies of this paper may be made for personal or internal use, on condition that the copier pay the $10.00 per-copy fee to th…

Galerkin Method Convergence Series ExpansionRayleigh–Ritz methodTime-variant systemAerospace EngineeringDirac delta functionsymbols.namesakeConvergence (routing)symbolsBending momentApplied mathematicsFeedforward neural networkBoundary value problemSettore ICAR/08 - Scienza Delle CostruzioniGalerkin methodMathematicsAIAA Journal
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