Geodesic
Non-reflecting boundary condition on ellipsoidal boundary
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 15 (2012) no. 2, pp. 131-139

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Modeling of wave propagation problems using finite element methods usually requires the truncation of the computation domain around the scatterer of interest. Absorbing boundary conditions are classically considered in order to avoid spurious reflections. In this paper, we investigate some properties of the Dirichlet to Neumann map posed on a spheroidal boundary in the context of the Helmholtz equation. 
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     author = {H. Barucq and A.-G. Dupouy St-Guirons and S. Tordeux},
     title = {Non-reflecting boundary condition on ellipsoidal boundary},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
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     url = {http://geodesic.mathdoc.fr/item/SJVM_2012_15_2_a1/}
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H. Barucq; A.-G. Dupouy St-Guirons; S. Tordeux. Non-reflecting boundary condition on ellipsoidal boundary. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 15 (2012) no. 2, pp. 131-139. http://geodesic.mathdoc.fr/item/SJVM_2012_15_2_a1/