Mathematical modeling of bending of a circular plate using $S$-splines

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This article is dedicated to the use of higher degree $S$-splines for solving equations of the elasticity theory. As an example we consider the solution to the equation of bending of a plate on a circle. $S$-spline is a piecewise-polynomial function. Its coefficients are defined by two conditions. The first part of the coefficients are defined by the smoothness of the spline. The rest are determined using the least-squares method. We consider class $C^4$ 7th degree $S$-splines.

Keywords: approximation, spline, numerical methods, method of finite elements, the mathematical physics, the elasticity theory
Citation in English: Fedosova A.N., Silaev D.A. Mathematical modeling of bending of a circular plate using $S$-splines // Computer Research and Modeling, 2015, vol. 7, no. 5, pp. 977-988
Citation in English: Fedosova A.N., Silaev D.A. Mathematical modeling of bending of a circular plate using $S$-splines // Computer Research and Modeling, 2015, vol. 7, no. 5, pp. 977-988
DOI: 10.20537/2076-7633-2015-7-5-977-988
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