Numerical Implementation of the Fictitious Domain Method for Elliptic Equations

• Autorzy: Temirbekov A. N. , Wójcik W.

Identyfikatory

DOI

10.2478/eletel-2014-0027

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

elliptic equation; Dirichlet problem; equation with rapidly varying coefficients; computational algorithm; iterative process; fictitious domain method; boundary conditions

• Wydawca: Polish Academy of Sciences, Committee of Electronics and Telecommunication
• Czasopismo: International Journal of Electronics and Telecommunications
• Rocznik: 2014
• Tom: Vol. 60, No. 3
• Strony: 219--223
• Opis fizyczny: Bibliogr. 9 poz., wykr.

Twórcy

autor

Temirbekov A. N.

• East Kazakhstan State Technical University, Ust-Kamenogorsk, Kazakhstan

autor

Wójcik W.

• Lublin University of Technology, Lublin, Poland

Bibliografia

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