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20112023
most citedRegularity theory and high order numerical methods for the (1d)-Fractional Laplacian

62 citations · 361 across the 34 of their papers we have counts for

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Showing 2019Show all

6 papers · 1 filter

physics.comp-ph2019★ 23 cited

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…

math.AP2019

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…

math-ph2019

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…

math.NA2019★ 1 cited

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…

physics.app-ph2019★ 2 cited

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…

math.NA2019

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…