Application of Trefftz method for temperature rise analysis on human skin exposed to radiation
Abstract
This paper describes the application of the Trefftz method to the temperature rise in human skin exposed to radiation from a cellular phone. A governing equation is given as the Poisson equation. An inhomogeneous term of the equation is approximated with a polynomial function in Cartesian coordinates. The use of the approximated term transforms the original boundary-value problem to that governed with a homogeneous differential equation. The transformed problem can be solved by the traditional Trefftz formulation. Firstly, the present method is applied to a simple numerical example in order to confirm the formulation. The temperature rise in a skin exposed to radiation is considered as a second example.
Keywords:
Trefftz method, Poisson equation, polynomial functionReferences
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[4] Y.K. Cheung, W.G. Jin, O.C. Zienkiewicz. Direct solution procedure for solution of harmonic problems using complete, non-singular, Trefftz functions. Communications in Applied Numerical Methods, 5: 159-169 , 1989.
[5] M.A. Golberg, C.S. Chen, M. Ganesh. Particular solutions of 3D Helmholtz type equations using compactly supported radial basis functions. Engineering Analysis with Boundary Elements, 24: 539-547, 2000.
