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math.NA2016
Schur complement Domain Decomposition Methods for the solution of multiple scattering problems
Michael Pedneault, Catalin Turc, Yassine Boubendir
We present a Schur complement Domain Decomposition (DD) algorithm for the solution of frequency domain multiple scattering problems. Just as in the classical DD methods we (1) encl…
math.NA2016
Well-conditioned boundary integral equation formulations and Nyström discretizations for the solution of Helmholtz problems with impedance boundary conditions in two-dimensional Lipschitz domains
Catalin Turc, Yassine Boubendir, Mohamed Kamel Riahi
We present a regularization strategy that leads to well-conditioned boundary integral equation formulations of Helmholtz equations with impedance boundary conditions in two-dimensi…