New mapping properties of the Time Domain Electric Field Integral Equation
Numerical Analysis
2015-09-04 v1 Analysis of PDEs
Abstract
We show some improved mapping properties of the Time Domain Electric Field Integral Equation and of its Galerkin semidiscretization in space. We relate the weak distributional framework with a stronger class of solutions using a group of strongly continuous operators. The stability and error estimates we derive are sharper than those in the literature.
Keywords
Cite
@article{arxiv.1509.01236,
title = {New mapping properties of the Time Domain Electric Field Integral Equation},
author = {Tianyu Qiu and Francisco-Javier Sayas},
journal= {arXiv preprint arXiv:1509.01236},
year = {2015}
}