Introduction to the finite element method. Two-dimensional steady state heat conduction problem: teaching aid
Golubev V. I.

The book is devoted to the finite element method, which is actively used to solve static and dynamic problems. On the example of the two-dimensional steady state heat conduction problem, the procedure for constructing the defining system of linear algebraic equations of the FEM is described. Boundary conditions of the first kind are considered, and analytical solutions for the isotropic thermal conductivity tensor are given. All calculations are done for the simplest square elements with linear basis functions. It is intended for students studying computer science and computational mathematics, in the form of practice on the implementation of computational algorithms.

Издательство:

MIPT

УДК:

519.63

Год издания:

2023

Количество страниц:

24

Ключевые слова:

Численные методы решения дифференциальных уравнений с частными производными