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标题：Alternative Forms of Fundamental Solutions for 3-D Anisotropic Heat Transfer
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作者：Rogério J. Marczak ; Mitsunori Denda
期刊名称：Mecánica Computacional
印刷版ISSN：2591-3522
出版年度：2010
卷号：XXIX
期号：56
出版社：CIMEC-INTEC-CONICET-UNL
摘要：This work presents two new methods to derive the fundamental solution for threedimensional heat transfer problems in the general anisotropic media. Initially, the basic integral equations used in the definition of the general anisotropic fundamental solution are revisited. We show the relationship between three, two and one-dimensional integral definitions, either by purely algebraic manipulation as well as through Fourier and Radon transforms. Two of these forms are used to derive the fundamental solutions for the general anisotropic media. The first method gives the solution analytically for which the solution for the orthotropic case agrees with the well known result obtained by the domain mapping, while the fundamental solution for the general anisotropic media is new. The second method expresses the solution by a line integral over a semi-circle. The advantages and disadvantages of the two methods are discussed with numerical examples.