Quaternionic fundamental solutions for the numerical analysis of electromagnetic scattering problems
数学物理
2009-01-24 v1 math.MP
数值分析
摘要
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.
关键词
引用
@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}
}
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