Quaternionic Fundamental Solutions for Electromagnetic Scattering Problems and Application | Zendy

Kira V. Khmelnytskaya | Zendy; Vladislav V. Kravchenko | Zendy; Vladimir Rabinovich | Zendy

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Quaternionic Fundamental Solutions for Electromagnetic Scattering Problems and Application

Author(s) -

Kira V. Khmelnytskaya,

Vladislav V. Kravchenko,

Vladimir Rabinovich

Publication year - 2003

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1136

Subject(s) - completeness (order theory) , sobolev space , boundary value problem , mathematics , maxwell's equations , class (philosophy) , scattering , numerical analysis , mathematical analysis , boundary (topology) , method of fundamental solutions , algebra over a field , calculus (dental) , pure mathematics , computer science , singular boundary method , physics , finite element method , boundary element method , quantum mechanics , artificial intelligence , thermodynamics , medicine , dentistry

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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