Quaternionic Fundamental Solutions for Electromagnetic Scattering Problems and Application
Vladislav V. Kravchenko
Cinvestav del IPN, Santiago De Querétaro, MexicoVladimir S. Rabinovich
Escuelo Superior de Mat y Fis del IPN, México, D.f., MexicoK. V. Khmelnytskaya
Escuelo Superior de Mat y Fis del IPN, México, D.f., Mexico

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.
Cite this article
Vladislav V. Kravchenko, Vladimir S. Rabinovich, K. V. Khmelnytskaya, Quaternionic Fundamental Solutions for Electromagnetic Scattering Problems and Application. Z. Anal. Anwend. 22 (2003), no. 1, pp. 147–166
DOI 10.4171/ZAA/1136