Numerical implementation of the method of fictitious domains for elliptic equations

Almas Temirbekov

2016

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DOI 10.1063/1.4959667
Data confidence 70 medium
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Abstract

In the paper, we study the elliptical type equation with strongly changing coefficients. We are interested in studying such equation because the given type equations are yielded when we use the fictitious domain method. In this paper we suggest a special method for numerical solution of the elliptic equation with strongly changing coefficients. We have proved the theorem for the assessment of developed iteration process convergence rate. We have developed computational algorithm and numerical calculations have been done to illustrate the effectiveness of the suggested method.