A Mixed BEM Applied to Scattering of Thermal Waves in Composite Materials

Abstract

Let Ω₁,Ω..., Ω_d denote a finite number of simply connected domains strictly contained in ℝ ²_{_} := |(x ₁, x ₂) | x ₂ < 0} with nonintersecting closures and such that $\bar \Omega _k \cap \Pi = \not 0$ for all k, being ∏: = |(x ₁), 0) | x ₁ ∈ ℝ}. The boundaries Γ _k := ∂Ω _k are assumed to be parameterizable C ²-curves. Normals are directed towards the exterior of Ω _k for each k and the normal derivative on ∏ is directed towards the exterior of Ω (see Fig. 1).