The collocation method

Kaspshitskaya, M. F.; Luchka, A. Yu.

doi:10.1016/0041-5553(68)90123-7

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2016

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Cited by 3 publications

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“…The terminology of collocation method is, to the best of the authors' knowledge, associated with the work by Petersen [3], and subsequently with the work by Karpilovskaya [4], Vainikko [5,6] and Kaspshitskaya [7]. The two methods share substantial similarities, namely the main idea of solving the strong form of the problem with a proper choice of discrete function spaces of approximation.…”

Section: Introductionmentioning

confidence: 99%

NURBS-Based Collocation Methods for the Structural Analysis of Shells of Revolution

Bellis

Artioli

2016

Metals

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Abstract:In this work we present a collocation method for the structural analysis of shells of revolution based on Non-Uniform Rational B-Spline (NURBS) interpolation. The method is based on the strong formulation of the equilibrium equations according to Reissner-Mindlin theory, with Fourier series expansion of dependent variables, which makes the problem 1D. Several numerical tests validate convergence, accuracy, and robustness of the proposed methodology, and its feasibility as a tool for the analysis and design of complex shell structures.

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Section: Introductionmentioning

confidence: 99%