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19 April 2024

» arxiv » math-ph/0206013

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Quaternionic fundamental solutions for the numerical analysis of electromagnetic scattering problems
Kira V. Khmelnytskaya ; Vladislav V. Kravchenko ; Vladimir S. Rabinovich ;
Date:	10 Jun 2002
Subject:	Mathematical Physics; Numerical Analysis MSC-class: 30G35; 65N35; 78M25 \| math-ph math.MP math.NA
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.
Source:	arXiv, math-ph/0206013
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