Approximation of solution problem in laser melting simulation

Authors

  • Валерія Анатоліївна Третяк National Technical University of Ukraine "Kyiv Polytechnic Institute", Ukraine

DOI:

https://doi.org/10.15587/2312-8372.2012.5513

Keywords:

Partial differential equation, finite difference method, approximation, Lagrange polynomial interpolation, rational curves

Abstract

The article deals with approximation problem arising while partial differential equation solving using finite difference method with adaptive mesh refinement. The comparison of Lagrange polynomial interpolation and rational curves approximation is performed. An adaptive method of weight evaluation is suggested

Author Biography

Валерія Анатоліївна Третяк, National Technical University of Ukraine "Kyiv Polytechnic Institute"

Graduate student of Sub-department "Automation of projection of power processes and systems"

References

  1. Golovko, L.F. Lia Handbook of Laser Materials Processing [Text] / L. F. Golovko [et. all]. – Orlando, USA : Laser Institute of America, 2001. – P. 249-258 (715 p.)
  2. Incropera, F.P. Fundamentals of Heat and Mass Transfer 6th ed [Text] / F.P. Incropera, D.P. DeWitt, T.L. Bergman. – New York, John Wiley&Sons, 2006. – 997p.
  3. Лазерні технології та комп’ютерне моделювання [Текст] / Під ред. Л.Ф. Головка, С.О. Лук’яненка. – К.: Вістка, 2009. – 296 с.
  4. Лук’яненко, С.О. Адаптивні обчислювальні методи моделювання об’єктів з розподіленими параметрами [Текст] / С.О. Лук’яненко. – К. : ІВЦ “Видавництво “Політехніка”, 2004. – 236с.
  5. Головко, Л.Ф. Моделирование адаптивным сеточным методом температурного поля при лазерной наплавке порошковых материалов [Текст] / Л.Ф. Головко [и др.] // Электронное моделирование. – 2009. – Т. 31, № 1. – С. 21-32.
  6. Голованов, Н. Н. Геометрическое моделирование [Текст] / Н. Н. Голованов. – М.: Издательство Физико-математической литературы, 2002. – 472 с.

Downloads

Published

2012-12-12

How to Cite

Третяк, В. А. (2012). Approximation of solution problem in laser melting simulation. Technology Audit and Production Reserves, 6(3(8), 11–12. https://doi.org/10.15587/2312-8372.2012.5513

Issue

Vol. 6 No. 3(8) (2012): Scientific outcomes 2012

Section

Fundamental research

License

Copyright (c) 2016 Валерія Анатоліївна Третяк

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.