22 citations · 60 across the 19 of their papers we have counts for
24 papers
Maxwell à la Helmholtz: Direct boundary integral equations for 3D scattering by perfect electric conductors via Helmholtz operators
Carlos Pérez-Arancibia, Catalin Turc
This paper is the direct-formulation companion to [Burbano-Gallegos, Pérez-Arancibia, and Turc, ESAIM: M2AN, 60(1):273--315, 2026], which developed indirect combined-field-only bou…
Maxwell à la Helmholtz: Electromagnetic scattering by 3D perfect electric conductors via Helmholtz integral operators
Juan Burbano-Gallegos, Carlos Pérez-Arancibia, Catalin Turc
This paper introduces a novel class of indirect boundary integral equation (BIE) formulations for the solution of electromagnetic scattering problems involving smooth perfectly ele…
Stability estimates of Nyström discretizations of Helmholtz decomposition boundary integral equation formulations for the solution of Navier scattering problems in two dimensions with Dirichlet boundary conditions
Victor Dominguez, Catalin Turc
Helmholtz decompositions of elastic fields is a common approach for the solution of Navier scattering problems. Used in the context of Boundary Integral Equations (BIE), this appro…
Combined field-only boundary integral equations for PEC electromagnetic scattering problem in spherical geometries
Luiz Faria, Carlos Perez-arancibia, Catalin Turc
We analyze the well posedness of certain field-only boundary integral equations (BIE) for frequency domain electromagnetic scattering from perfectly conducting spheres. Starting fr…
Nystrom discretizations of boundary integral equations for the solution of 2D elastic scattering problems
Victor Dominguez, Catalin Turc
We present three high-order Nystrom discretization strategies of various boundary integral equation formulations of the impenetrable time-harmonic Navier equations in two dimension…
High-Order Nyström/Convolution-Quadrature Solution of Time-Domain Scattering from Closed and Open Lipschitz Boundaries with Dirichlet and Neumann Boundary Conditions
Peter P. Petropoulos, Catalin Turc, Erli Wind-andersen
We investigate high-order Convolution Quadratures methods for the solution of the wave equation in unbounded domains in two dimensions that rely on Nyström discretizations for the…
Boundary integral equation methods for the solution of scattering and transmission 2D elastodynamic problems
Victor Dominguez, Catalin Turc
We introduce and analyze various Regularized Combined Field Integral Equations (CFIER) formulations of time-harmonic Navier equations in media with piece-wise constant material pro…
Planewave density interpolation methods for the EFIE on simple and composite surfaces
Carlos Pérez-Arancibia, Catalin Turc, Luiz Faria +1
This paper presents an extension of the recently introduced planewave density interpolation (PWDI) method to the electric field integral equation (EFIE) formulation of problems of…
Planewave density interpolation methods for 3D Helmholtz boundary integral equations
Carlos Pérez-Arancibia, Catalin Turc, Luiz Faria
This paper introduces planewave density interpolation methods for the regularization of weakly singular, strongly singular, hypersingular and nearly singular integral kernels prese…
Sweeping preconditioners for the iterative solution of quasiperiodic Helmholtz transmission problems in layered media
David Nicholls, Carlos Pérez-Arancibia, Catalin Turc
We present a sweeping preconditioner for quasi-optimal Domain Decomposition Methods (DDM) applied to Helmholtz transmission problems in periodic layered media. Quasi-optimal DD (QO…
Domain decomposition for quasi-periodic scattering by layered media via robust boundary-integral equations at all frequencies
Carlos Pérez-Arancibia, Stephen Shipman, Catalin Turc +1
We develop a non-overlapping domain decomposition method (DDM) for scalar wave scattering by periodic layered media. Our approach relies on robust boundary-integral equation formul…
Harmonic density interpolation methods for high-order evaluation of Laplace layer potentials in 2D and 3D
Carlos Pérez-Arancibia, Luiz M. Faria, Catalin Turc
We present an effective harmonic density interpolation method for the numerical evaluation of singular and nearly singular Laplace boundary integral operators and layer potentials…
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…
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…
Multitrace formulations and Domain Decomposition Methods for the solution of Helmholtz transmission problems for bounded composite scatterers
Carlos Jerez-Hanckes, Carlos Pérez-Arancibia, Catalin Turc
We present Nyström discretizations of multitrace formulations and non-overlapping Domain Decomposition Methods (DDM) for the solution of Helmholtz transmission problems for bounded…
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…
Well-posed boundary integral equation formulations and Nyström discretizations for the solution of Helmholtz transmission problems in two-dimensional Lipschitz domains
Victor Dominguez, Mark Lyon, Catalin Turc
We present a comparison between the performance of solvers based on Nyström discretizations of several well-posed boundary integral equation formulations of Helmholtz transmission…
Windowed Green Function method for layered-media scattering
Oscar Bruno, Mark Lyon, Carlos Perez-Arancibia +1
This paper introduces a new Windowed Green Function (WGF) method for the numerical integral-equation solution of problems of electromagnetic scattering by obstacles in presence of…
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…
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…