Author:
Mozgaleva Marina,Akimov Pavel
Abstract
Localization of solution of the problem of three-dimensional theory of elasticity with the use of B-spline discrete-continual finite element method (specific version of wavelet-based discrete-continual finite ele-ment method) is under consideration in the distinctive paper. The original operational continual and discrete-continual formulations of the problem are given, some actual aspects of construction of normalized basis func-tions of a B-spline are considered, the corresponding local constructions for an arbitrary discrete-continual finite element are described, some information about the numerical implementation and an example of analysis are presented.
Publisher
Publishing House ASV (Izdatelstvo ASV)
Subject
Mechanics of Materials,Building and Construction,Civil and Structural Engineering,Computational Mechanics
Reference8 articles.
1. Mozgaleva M.L., Akimov P.A., Kaytukov T.B. Localization of solution of the problem of two-dimensional theory of elasticity with the use of discrete-continual finite element method. // International Journal for Compu-tational Civil and Structural Engineering, 2021, Vol. 17, Issue 2, pp. 83-104.
2. Akimov P.A., Mozgaleva M.L., Kaytukov T.B. Numerical solution of the problem of isotropic plate analysis with the use of B-spline discrete-continual finite element method. // // International Journal for Com-putational Civil and Structural Engineering, 2020, Vol. 16, Issue 4, pp. 14-28.
3. Akimov P.A., Mozgaleva M.L., Kaytukov T.B. Numerical solution of the problem of beam analysis with the use of B-spline finite element method. // International Journal for Computational Civil and Structural En-gineering, 2020, Vol. 16, Issue 3, pp. 12-22.
4. Akimov P.A., Sidorov V.N. Correct Meth-od of Analytical Solution of Multipoint Boundary Problems of Structural Analysis for Systems of Ordinary Differential Equa-tions with Piecewise Constant Coefficients. // Advanced Materials Research Vols. 250-253, 2011, pp. 3652-3655.
5. Akimov P.A., Mozgaleva M.L. Method of Extended Domain and General Principles of Mesh Approximation for Boundary Prob-lems of Structural Analysis. // Applied Me-chanics and Materials, 2014, Vols. 580-583, pp. 2898-2902.