17 citations · 24 across the 5 of their papers we have counts for
7 papers
General-purpose kernel regularization of boundary integral equations via density interpolation
Luiz M. Faria, Carlos Pérez-Arancibia, Marc Bonnet
This paper presents a general high-order kernel regularization technique applicable to all four integral operators of Calderón calculus associated with linear elliptic PDEs in two…
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…
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…
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…
Modeling and simulation of an acoustic well stimulation method
Carlos Pérez-Arancibia, Eduardo Godoy, Mario Durán
This paper presents a mathematical model and a numerical procedure to simulate an acoustic well stimulation (AWS) method for enhancing the permeability of the rock formation surrou…
Smoothed Combined Field Integral Equations for Exterior Helmholtz Problems
Carlos Pérez-Arancibia
This paper presents smoothed combined field integral equations for the solution of Dirichlet and Neumann exterior Helmholtz problems. The integral equations introduced in this pape…