Quaternionic fundamental solutions for the numerical analysis of electromagnetic scattering problems
Mathematical Physics
2009-01-24 v1 math.MP
Numerical Analysis
Abstract
We propose a new class of fundamental solutions for the numerical analysis of boundary value problems for the Maxwell equations. We prove completeness of systems of such fundamental solutions in appropriate Sobolev spaces on a smooth boundary and support the relevancy of our approach by numerical results.
Keywords
Cite
@article{arxiv.math-ph/0206013,
title = {Quaternionic fundamental solutions for the numerical analysis of electromagnetic scattering problems},
author = {Kira V. Khmelnytskaya and Vladislav V. Kravchenko and Vladimir S. Rabinovich},
journal= {arXiv preprint arXiv:math-ph/0206013},
year = {2009}
}
Comments
1 figure