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math.AP2016
Asymptotic expansions of the Helmholtz equation solutions using approximations of the Dirichlet to Neumann operator
Souaad Lazergui, Yassine Boubendir
This paper is concerned with the asymptotic expansions of the amplitude of the solution of the Helmholtz equation. The original expansions were obtained using a pseudo-differential…
math.AP2013★ 2 cited
Regularized combined field integral equations for acoustic transmission problems
Yassine Boubendir, Victor Dominguez, David Levadoux +1
We present a new class of well conditioned integral equations for the solution of two and three dimensional scattering problems by homogeneous penetrable scatterers. Our novel boun…