## 2.3 Direct BEM for the plate equation

### 2.3.1 Rayleigh-Green identity

Consider the two-dimensional multiply connected domain $Ω$ of the $xy$ plane occupied by the plate. The domain is bounded by the $K+1$ non-intersecting curves $Γ0,Γ1,…,ΓK$, forming the boundary $Γ=∪k=0KΓk$ of the plate, which may be piecewise smooth, i.e., it may have a finite number of corners ...

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