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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…
math.NA2013
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…
math.NA2013
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…