@Article{IJNAM-11-2,
author = {V., Dominguez and S., Lu and Sayas, F.-J.},
title = {A Fully Discrete Calderόn Calculus for Two Dimensional Time Harmonic Waves},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2014},
volume = {11},
number = {2},
pages = {332--345},
abstract = {<p style="text-align: justify;">In this paper, we present a fully discretized Calderόn Calculus for the two dimensional
Helmholtz equation. This full discretization can be understood as highly non-conforming
Petrov-Galerkin methods, based on two staggered grids of mesh size $h$, Dirac delta distributions
substituting acoustic charge densities and piecewise constant functions for approximating acoustic
dipole densities. The resulting numerical schemes from this calculus are all of order $h^2$ provided
that the continuous equations are well posed. We finish by presenting some numerical experiments
illustrating the performance of this discrete calculus.</p>},
issn = {2617-8710},
doi = {https://doi.org/2014-IJNAM-529},
url = {https://global-sci.com/article/83342/a-fully-discrete-calderon-calculus-for-two-dimensional-time-harmonic-waves}
}