Open AccessFeatures of the software implementation of the numerical solution of stationary heat equation taking into account the effects of nonlocal finite element method
Author(s) -
Г. Н. Кувыркин,
I. Yu. Savelyeva,
Andrey Alexandrovich Sokolov
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1479/1/012034
Subject(s) - finite element method , thermal conduction , thermal conductivity , heat equation , matrix (chemical analysis) , mathematics , mathematical analysis , scheme (mathematics) , polynomial , software , numerical analysis , physics , computer science , materials science , thermodynamics , composite material , programming language
The features of the numerical solution of the two-dimensional equation of stationary heat conduction are considered taking into account nonlocal effects. The finite element method using isoparametric finite elements was chosen as the numerical solution scheme. A method for approximating the zone of nonlocal influence was proposed, and an estimate of the time for calculating the coefficients of the thermal conductivity matrix was also constructed. The influence of the main parameters of the model on the final results is studied, and a polynomial family of functions of non-local influence is also studied. The results are compared with the results obtained with the classical approach.