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A local BIEM for analysis of transient heat conduction with nonlinear source terms in FGMs. (English) Zbl 1053.80007
The diffusion equation with non-linear source intensity in functionally graded materials is considered. A local boundary integral equation method is proposed to analyze the temperature distribution in a non-homogeneous body under microwave heating. The Laplace transform is used to eliminate the time in the unsteady heat equation. Integral equations are considered on small sub-domains with simple geometry which facilitates an easy evaluation of domain integrals. With this element free method the physical fields on the local boundary and in the interior of the sub-domain are approximated by the moving least square.

80A20 Heat and mass transfer, heat flow (MSC2010)
Algorithm 368
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