8 citations · 18 across the 11 of their papers we have counts for
13 papers
Domain Decomposition Methods for the Monge-Ampère equation
Yassine Boubendir, Jake Brusca, Brittany Froese Hamfeldt +1
We introduce a new overlapping Domain Decomposition Method (DDM) to solve the fully nonlinear Monge-Ampère equation. While DDMs have been extensively studied for linear problems, t…
Asymptotic expansions of high-frequency multiple scattering iterations for sound hard scattering problems
Yassine Boubendir, Fatih Ecevit
We consider the two-dimensional high-frequency plane wave scattering problem in the exterior of a finite collection of disjoint, compact, smooth, strictly convex obstacles with Neu…
Spectral Galerkin boundary element methods for high-frequency sound-hard scattering problems
Akash Anand, Yassine Boubendir, Fatih Ecevit +1
This paper is concerned with the design of two different classes of Galerkin boundary element methods for the solution of high-frequency sound-hard scattering problems in the exter…
Domain Decomposition Methods based on quasi-optimal transmission operators for the solution of Helmholtz transmission problems
Yassine Boubendir, Carlos Jerez-Hanckes, Carlos Pérez-Arancibia +1
We present non-overlapping Domain Decomposition Methods (DDM) based on quasi-optimal transmission operators for the solution of Helmholtz transmission problems with piece-wise cons…
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…
High-order Nyström discretizations for the solution of integral equation formulations of two-dimensional Helmholtz transmission problems
Y. Boubendir, V. Dominguez, C. Turc
We present and analyze fully discrete Nyström methods for the solution of three classes of well conditioned boundary integral equations for the solution of two dimensional scatteri…
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…
Integral equations requiring small numbers of Krylov-subspace iterations for two-dimensional penetrable scattering problems
Yassine Boubendir, Oscar Bruno, David Levadoux +1
This paper presents a class of boundary integral equations for the solution of problems of electromagnetic and acoustic scattering by two dimensional homogeneous penetrable scatter…
Well-conditioned boundary integral equation formulations for the solution of high-frequency electromagnetic scattering problems
Yassine Boubendir, Catalin Turc
We present several versions of Regularized Combined Field Integral Equation (CFIER) formulations for the solution of three dimensional frequency domain electromagnetic scattering p…