8 citations · 18 across the 11 of their papers we have counts for
5 papers · 1 filter
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…
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…
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…
Acceleration of an iterative method for the evaluation of high-frequency multiple scattering effects
Yassine Boubendir, Fatih Ecevit, Fernando Reitich
High frequency integral equation methodologies display the capability of reproducing single-scattering returns in frequency-independent computational times and employ a Neumann ser…
Improved non-overlapping domain decomposition algorithms for the eddy current problem
Y. Boubendir, H. Haddar, M. K. Riahi
A domain decomposition method is proposed based on carefully chosen impedance transmission operators for a hybrid formulation of the eddy current problem. Preliminary analysis and…