15 citations · 31 across the 20 of their papers we have counts for
4 papers · 1 filter
A fully discrete Calderon Calculus for two dimensional time harmonic waves
Victor Dominguez, Sijiang L. Lu, Francisco-Javier Sayas
In this paper, we present a fully discretized Calderón Calculus for the two dimensional Helmholtz equation. This full discretization can be understood as highly non-conforming Petr…
A Nystrom method for the two dimensional Helmholtz hypersingular equation
Victor Dominguez, Sijiang L. Lu, Francisco-Javier Sayas
In this paper we propose and analyze a class of simple Nyström discretizations of the hypersingular integral equation for the Helmholtz problem on domains of the plane with smooth…
Filon-Clenshaw-Curtis rules for highly-oscillatory integrals with algebraic singularities and stationary points
V. Dominguez, I. G. Graham, T. Kim
In this paper we propose and analyse composite Filon-Clenshaw-Curtis quadrature rules for integrals of the form $I_{k}^{[a,b]}(f,g) := \int_a^b f(x) \exp(\mathrm{i}kg(x)) \rd x $,…
Interpolation and cubature approximations and analysis for a class of wideband integrals on the sphere
V. Dominguez, M. Ganesh
We propose, analyze, and implement interpolatory approximations and Filon-type cubature for efficient and accurate evaluation of a class of wideband generalized Fourier integrals o…