- Tytuł:
- Numerical Implementation of the Fictitious Domain Method for Elliptic Equations
- Autorzy:
-
Temirbekov, A. N.
Wójcik, W. - Powiązania:
- https://bibliotekanauki.pl/articles/226820.pdf
- Data publikacji:
- 2014
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
elliptic equation
Dirichlet problem
equation with rapidly varying coefficients
computational algorithm
iterative process
fictitious domain method
boundary conditions - Opis:
- In this paper, we consider an elliptic equation with strongly varying coefficients. Interest in the study of these equations is connected with the fact that this type of equation is obtained when using the fictitious domain method. In this paper, we propose a special method for the numerical solution of elliptic equations with strongly varying coefficients. A theorem is proved for the rate of convergence of the iterative process developed. A computational algorithm and numerical calculations are developed to illustrate the effectiveness of the proposed method.
- Źródło:
-
International Journal of Electronics and Telecommunications; 2014, 60, 3; 219-223
2300-1933 - Pojawia się w:
- International Journal of Electronics and Telecommunications
- Dostawca treści:
- Biblioteka Nauki
Artykuł