Quaternionic fundamental solutions for the numerical analysis of electromagnetic scattering problems

Details Quaternionic fundamental solutions for the numerical analysis of electromagnetic scattering problems Quaternionic fundamental solutions for the numerical analysis of electromagnetic scattering problems

2002-06-10

arxiv.org/abs/math-ph/0206013v1

Published as: "Quaternionic fundamental solutions for electromagnetic scattering problems and application". Zeitschrift f\~A1/

Physics

Mathematical Physics

1 figure

Scientific paper

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.

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