15 citations · 31 across the 20 of their papers we have counts for
4 papers · 1 filter
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…
On the discontinuous Galerkin method for solving boundary value problems for the Helmholtz equation: A priori and a posteriori error analyses
T. P. Barrios, R. Bustinza, V. Dominguez
We apply the local discontinuous Galerkin (LDG for short) method to solve a mixed boundary value problems for the Helmholtz equation in bounded polygonal domain in 2D. Under some a…
Filon-Clenshaw-Curtis rules for a class of highly-oscillatory integrals with logarithmic singularities
Victor Dominguez
In this work we propose and analyse a numerical method for computing a family of highly oscillatory integrals with logarithmic singularities. For these quadrature rules we derive e…
A Nystrom flavored Calderón Calculus of order three for two dimensional waves
V. Dominguez, S. L. Lu, F. -J. Sayas
In this paper we present and test a full discretization of all elements of the Calderón Calculus (layer potentials and integral operators) for the Helmholtz equation in smooth clos…