27 citations · 27 across the 3 of their papers we have counts for
4 papers · 1 filter
A complex-scaled boundary integral equation for time-harmonic water waves
Anne-Sophie Bonnet-Ben Dhia, Luiz M. Faria, Carlos Pérez-Arancibia
This paper presents a novel boundary integral equation (BIE) formulation for the two-dimensional time-harmonic water-waves problem. It utilizes a complex-scaled Laplace's free-spac…
Construction of polynomial particular solutions of linear constant-coefficient partial differential equations
Thomas G. Anderson, Marc Bonnet, Luiz M. Faria +1
This paper introduces general methodologies for constructing closed-form solutions to linear constant-coefficient partial differential equations (PDEs) with polynomial right-hand s…
Reflectionless discrete perfectly matched layers for higher-order finite difference schemes
Vicente A. Hojas, Carlos Pérez-Arancibia, Manuel A. Sánchez
This paper introduces discrete-holomorphic Perfectly Matched Layers (PMLs) specifically designed for high-order finite difference (FD) discretizations of the scalar wave equation.…
Windowed Green Function method for the Helmholtz equation in presence of multiply layered media
Oscar P. Bruno, Carlos Pérez-Arancibia
This paper presents a new methodology for the solution of problems of two- and three-dimensional acoustic scattering (and, in particular, two-dimensional electromagnetic scattering…