Affiliation:
1. Moscow State University of Civil Engineering
Abstract
The distinctive paper is devoted to general principles of mesh approximation for boundary problems of structural analysis with the use of so-called method of extended domain, proposed by Prof. Alexander B. Zolotov. In particular we studied questions dealing with approximation of domain, approximation of functions and approximations of operators. Mesh functions are introduced as well as corresponding mesh operations and various types of implementation. The results are rather efficient algorithms in respect to number of operations, computing time and required memory.
Publisher
Trans Tech Publications, Ltd.
Reference4 articles.
1. Akimov P.A.: Correct Discrete-Continual Finite Element Method of Structural Analysis Based on Precise Analytical Solutions of Resulting Multipoint Boundary Problems for Systems of Ordinary Differential Equations. / Applied Mechanics and Materials Vols. 204-208 (2012).
2. Akimov P.A., Mozgaleva M.L.: Correct Wavelet-based Multilevel Numerical Method of Local Solution of Boundary Problems of Structural Analysis. / Applied Mechanics and Materials Vols. 166-169 (2012), pp.3155-3158.
3. Akimov P.A., Sidorov V.N. Correct Method of Analytical Solution of Multipoint Boundary Problems of Structural Analysis for Systems of Ordinary Differential Equations with Piecewise Constant Coefficients. / Advanced Materials Research Vols. 250-253, 2011, pp.3652-3655.
4. Zolotov A.B., Larionov A.V., Mozgaleva M.L., Mskhalaya J.I. Formulation and approximation of boundary problems with the use of method of ex-tended domain. MGSU, Moscow, 1992, 86 pages (in Russian).
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26 articles.
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