ALGEBRAIC CONSTRUCTION OF THE POLYNOMIAL BASIS OF A SIX-NODE OCTAHEDRON

Authors

  • Anjelika Motailo Kherson National Technical University
  • Anatoliy Khomchenko Kherson National Technical University

Keywords:

six-node octahedron, basis, level surfaces

Abstract

The paper presents second-degree polynomial bases for the finite element in the form of an octahedron constructed by means of matrix calculus. The obtained functions are harmonics according to Laplace. Geometric properties of the corresponding level surfaces are analyzed.

Author Biographies

Anjelika Motailo, Kherson National Technical University

Senior Lecturer of the Department of Higher Mathematics

Anatoliy Khomchenko, Kherson National Technical University

Dc. Sc. (Phys. and Math.), Prof., Head of the Department of Applied Mathemtics and Mathematical Modeling

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Abstract views: 139

Published

2015-11-29

How to Cite

[1]
A. Motailo and A. Khomchenko, “ALGEBRAIC CONSTRUCTION OF THE POLYNOMIAL BASIS OF A SIX-NODE OCTAHEDRON”, Works of VNTU, no. 4, Nov. 2015.

Issue

No. 4 (2011): 2011№4

Section

Research Results Application

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