TY - JOUR

T1 - Boundary element modeling of 3D anisotropic heat conduction involving arbitrary volume heat source

AU - Shiah, Y. C.

AU - Lee, R. F.

N1 - Funding Information:
The authors would like to express gratitude to the National Science Council of Taiwan for the financial support ( NSC-99-2221-E-035-027-MY3 ).

PY - 2011/11

Y1 - 2011/11

N2 - This article presents a BIE (Boundary Integral Equation) modeling that applies the technique of domain mapping (Shiah and Tan (1998) [12]) as well as MRM (Multiple Reciprocity Method (Nowak (1989) [10])) to treat the problem of 3D anisotropic heat conduction involving arbitrary volume heat source. By the domain mapping technique, the original function of the volume heat source is accordingly transformed to a new function defined in the mapped domain. As a result of applying MRM, the volume integral arising from the transformed heat source is transformed into a series of boundary integrals. At the end of this paper, three numerical examples are presented to show the veracity and accuracy of the proposed algorithm. Also, the convergence of the transformed boundary integrals is also investigated for different types of volume heat source functions.

AB - This article presents a BIE (Boundary Integral Equation) modeling that applies the technique of domain mapping (Shiah and Tan (1998) [12]) as well as MRM (Multiple Reciprocity Method (Nowak (1989) [10])) to treat the problem of 3D anisotropic heat conduction involving arbitrary volume heat source. By the domain mapping technique, the original function of the volume heat source is accordingly transformed to a new function defined in the mapped domain. As a result of applying MRM, the volume integral arising from the transformed heat source is transformed into a series of boundary integrals. At the end of this paper, three numerical examples are presented to show the veracity and accuracy of the proposed algorithm. Also, the convergence of the transformed boundary integrals is also investigated for different types of volume heat source functions.

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U2 - 10.1016/j.mcm.2011.05.048

DO - 10.1016/j.mcm.2011.05.048

M3 - Article

AN - SCOPUS:80051596890

VL - 54

SP - 2392

EP - 2402

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

SN - 0895-7177

IS - 9-10

ER -