62 citations · 361 across the 34 of their papers we have counts for
7 papers · 1 filter
"Bootstrap Domain of Dependence": Bounds and Time Decay of Solutions of the Wave Equation
Thomas G. Anderson, Oscar P. Bruno
This article introduces a novel "bootstrap domain-of-dependence" concept, according to which, for all time following a given illumination period of arbitrary duration, the wave fie…
Domains without dense Steklov nodal sets
Oscar Bruno, Jeffrey Galkowski
This article concerns the asymptotic geometric character of the nodal set of the eigenfunctions of the Steklov eigenvalue problem $$ -Δϕ_{σ_j}=0,\quad\text{ on }Ω,\qquad\qquad \par…
Three-dimensional quasi-periodic shifted Green function throughout the spectrum--including Wood anomalies
Oscar P. Bruno, Stephen P. Shipman, Catalin Turc +1
This work presents an efficient method for evaluation of wave scattering by doubly periodic diffraction gratings at or near "Wood anomaly frequencies". At these frequencies, one or…
Regularized integral formulation of mixed Dirichlet-Neumann problems
Eldar Akhmetgaliyev, Oscar Bruno
This paper presents a theoretical discussion as well as novel solution algorithms for problems of scattering on smooth two-dimensional domains under Zaremba boundary conditions for…
Superalgebraically Convergent Smoothly-Windowed Lattice Sums for Doubly Periodic Green Functions in Three-Dimensional Space
Oscar P. Bruno, Stephen P. Shipman, Catalin Turc +1
This paper, Part I in a two-part series, presents (i) A simple and highly efficient algorithm for evaluation of quasi-periodic Green functions, as well as (ii) An associated bounda…
A high-order integral solver for scalar problems of diffraction by screens and apertures in three dimensional space
Oscar P. Bruno, Stephane K. Lintner
We present a novel methodology for the numerical solution of problems of diffraction by infinitely thin screens in three dimensional space. Our approach relies on new integral form…
A generalized Calderon Formula for open-arc diffraction problems: theoretical considerations
Stephane K. Lintner, Oscar P. Bruno
We deal with the general problem of scattering by open-arcs in two-dimensional space. We show that this problem can be solved by means of certain second-kind integral equations of…