62 citations · 361 across the 34 of their papers we have counts for
39 papers
WKB Across Caustics: The Screened-WKB Method
Oscar P. Bruno, Martin D. Maas
We present a new methodology, based on the WKB approximation and Fast Fourier Transforms, for the evaluation of wave propagation through inhomogeneous media. This method can accura…
FC-PINO: High Precision Physics-Informed Neural Operators via Fourier Continuation
Adarsh Ganeshram, Haydn Maust, Valentin Duruisseaux +6
The physics-informed neural operator (PINO) is a machine learning paradigm that has demonstrated promising results for learning solutions to partial differential equations (PDEs).…
Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains
Oscar P. Bruno, Tao Yin
This paper proposes a frequency-time hybrid solver for the time-dependent wave equation in two-dimensional interior spatial domains. The approach relies on four main elements, name…
Parallel inverse-problem solver for time-domain optical tomography with perfect parallel scaling
E. L. Gaggioli, O. P. Bruno
This paper presents an efficient parallel radiative transfer-based inverse-problem solver for time-domain optical tomography. The radiative transfer equation provides a physically…
Massively Parallelized Interpolated Factored Green Function Method
Christoph Bauinger, Oscar P. Bruno
This paper presents the first parallel implementation of the novel "Interpolated Factored Green Function" (IFGF) method introduced recently for the accelerated evaluation of discre…
FC-based shock-dynamics solver with neural-network localized artificial-viscosity assignment
Oscar P. Bruno, Jan S. Hesthaven, Daniel V. Leibovici
This paper presents a spectral scheme for the numerical solution of nonlinear conservation laws in non-periodic domains under arbitrary boundary conditions. The approach relies on…
A boundary integral method for 3D nonuniform dielectric waveguide problems via the windowed Green function
Emmanuel Garza, Constantine Sideris, Oscar P. Bruno
This paper proposes an efficient boundary-integral based "windowed Green function" methodology (WGF) for the numerical solution of three-dimensional electromagnetic problems contai…
Vector potential-based MHD solver for non-periodic flows using Fourier continuation expansions
Mauro Fontana, Pablo D. Mininni, Oscar P. Bruno +1
A high-order method to evolve in time electromagnetic and velocity fields in conducting fluids with non-periodic boundaries is presented. The method has a small overhead compared w…
Fine Boundary--Layer structure in Linear Transport Theory
E. L. Gaggioli, D. M. Mitnik, O. P. Bruno
This contribution identifies and characterizes a previously unrecognized boundary--layer structure that occurs in the context of linear transport theory, with an impact on the fiel…
Two-dimensional Fourier Continuation and applications
Oscar P. Bruno, Jagabandhu Paul
This paper presents a "two-dimensional Fourier Continuation" method (2D-FC) for construction of bi-periodic extensions of smooth non-periodic functions defined over general two-dim…
"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…
"Interpolated Factored Green Function" Method for accelerated solution of Scattering Problems
Christoph Bauinger, Oscar P. Bruno
This paper presents a novel {\em Interpolated Factored Green Function} method (IFGF) for the accelerated evaluation of the integral operators in scattering theory and other areas.…
A Windowed Green Function method for elastic scattering problems on a half-space
Oscar P. Bruno, Tao Yin
This paper presents a windowed Green function (WGF) method for the numerical solution of problems of elastic scattering by "locally-rough surfaces" (i.e., local perturbations of a…
Fourier continuation method for incompressible fluids with boundaries
M. Fontana, Oscar P. Bruno, Pablo D. Mininni +1
We present a Fourier Continuation-based parallel pseudospectral method for incompressible fluids in cuboid non-periodic domains. The method produces dispersionless and dissipationl…
Regularized integral equation methods for elastic scattering problems in three dimensions
Oscar P. Bruno, Tao Yin
This paper presents novel methodologies for the numerical simulation of scattering of elastic waves by both closed and open surfaces in three-dimensional space. The proposed approa…
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…
Wave Enhancement through Optimization of Boundary Conditions
Habib Ammari, Oscar Bruno, Kthim Imeri +1
It is well known that changing boundary conditions for the Laplacian from Dirichlet to Neumann can result in significant changes to the associated eigenmodes, while keeping the eig…
Direct/iterative hybrid solver for scattering by inhomogeneous media
Oscar P. Bruno, Ambuj Pandey
This paper presents a fast high-order method for the solution of two-dimensional problems of scattering by penetrable inhomogeneous media, with application to high-frequency config…
Transient Propagation and Scattering of Quasi-Rayleigh Waves in Plates: Quantitative comparison between Pulsed TV-Holography Measurements and FC(Gram) elastodynamic simulations
Faisal Amlani, Oscar P. Bruno, José Carlos López-Vázquez +4
We study the scattering of transient, high-frequency, narrow-band quasi-Rayleigh elastic waves by through-thickness holes in aluminum plates, in the framework of ultrasonic nondest…
Weighted integral solvers for elastic scattering by open arcs in two dimensions
Oscar P. Bruno, Liwei Xu, Tao Yin
We present a novel approach for the numerical solution of problems of elastic scattering by open arcs in two dimensions. Our methodology relies on the composition of weighted versi…
A Chebyshev-based rectangular-polar integral solver for scattering by general geometries described by non-overlapping patches
Oscar P. Bruno, Emmanuel Garza
This paper introduces a high-order-accurate strategy for integration of singular kernels and edge-singular integral densities that appear in the context of boundary integral equati…
High-order, Dispersionless "Fast-Hybrid" Wave Equation Solver. Part I: Sampling Cost via Incident-Field Windowing and Recentering
Thomas G. Anderson, Oscar P. Bruno, Mark Lyon
This paper proposes a frequency/time hybrid integral-equation method for the time dependent wave equation in two and three-dimensional spatial domains. Relying on Fourier Transform…
Shifted Equivalent Sources and FFT acceleration for Periodic Scattering Problems including Wood Anomalies
Oscar Bruno, Martín Maas
This paper introduces a fast algorithm, applicable throughout the electromagnetic spectrum, for the numerical solution of problems of scattering by periodic surfaces in two-dimensi…
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…