Hiroshima Mathematical Journal
- Hiroshima Math. J.
- Volume 36, Number 3 (2006), 365-386.
On the construction and investigation of hierarchic models for elastic rods
In the present paper static and dynamical one-dimensional models for elastic rods are constructed. The existence and uniqueness of solutions to the corresponding boundary and initial boundary value problems are proved, the rate of approximation of the solutions to the original three-dimensional problems by vector-functions restored from the solutions of one-dimensional problems is estimated.
Hiroshima Math. J., Volume 36, Number 3 (2006), 365-386.
First available in Project Euclid: 13 February 2007
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Primary: 42C10: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) 65M60: Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods 74K10: Rods (beams, columns, shafts, arches, rings, etc.)
Avalishvili, Mariam. On the construction and investigation of hierarchic models for elastic rods. Hiroshima Math. J. 36 (2006), no. 3, 365--386. doi:10.32917/hmj/1171377079. https://projecteuclid.org/euclid.hmj/1171377079