Some Properties of the First Order Polarization Tensor for 3-D Domains

MATEMATIKA

William Lionheart¹  Taufiq Khairi Ahmad Khairuddin¹ 

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DOI  :  10.11113/matematika.v29.n.574

学科分类：社会科学、人文和艺术（综合）

来源: Universiti Teknologi Malaysia * Fakulti Sains

【 摘 要 】

In this paper, numerical approximation and two properties of first order Polarization Tensor for 3-D domain are highlighted. Based on the definition of the generalized polarization tensor by integral equation, the quadrature method is adapted to simplify the approximation of the first order polarization tensor. Furthermore, the softwares MATLAB and Netgen Mesh Generator are used for computation purpose. Here, the numerical results obtained by following the method show reasonable convergence to the exact first order polarization tensor but at several known factors. Finally, these results are further discussed to demonstrate the transformation and types of the first order polarization tensor for few different objects.Keywords: Matrix; Mesh; Quadrature2010 Mathematics Subject Classification: 65D30; 15A04; 45G05

【 授权许可】

Unknown