3 papers
math.NA2023
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…
math.NA2022
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…
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…