ABOUT SOLUTION OF MULTIPOINT BOUNDARY PROBLEMS OF THREE-DIMENSIONAL STRUCTURAL ANALYSIS WITH THE USE OF COMBINED APPLICATION OF FINITE ELEMENT METHOD AND DISCRETE-CONTINUAL FINITE ELEMENT METHOD. PART 1: FORMULATION AND BASIC PRINCIPLES OF APPROXIMATION

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Pavel A. Akimov
Oleg A. Negrozov

Abstract

The distinctive paper is devoted to formulation and basic principles of approximation of multipoint boundary problem of static analysis of three-dimensional structure with the use of combined application of finite element method and discrete-continual finite element method. Basic notation system, design model, general formulation of the problem (based on three-dimensional theory of elasticity), basic principles of domain approxima­tion, rule of numbering of subdomains, rule of numbering of finite elements, rule of numbering of discrete- continual finite elements are considered. Construction of discrete (finite element) and discrete-continual approx­imation models for subdomains is under consideration as well

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Akimov, P. A., & Negrozov, O. A. (2018). ABOUT SOLUTION OF MULTIPOINT BOUNDARY PROBLEMS OF THREE-DIMENSIONAL STRUCTURAL ANALYSIS WITH THE USE OF COMBINED APPLICATION OF FINITE ELEMENT METHOD AND DISCRETE-CONTINUAL FINITE ELEMENT METHOD. PART 1: FORMULATION AND BASIC PRINCIPLES OF APPROXIMATION. International Journal for Computational Civil and Structural Engineering, 14(2), 14–29. https://doi.org/10.22337/2587-9618-2018-14-2-14-29
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