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Semi-discrete Galerkin approximation method applied to initial boundary value problems for Maxwell's equations in anisotropic, inhomogeneous media

Published online by Cambridge University Press:  14 November 2011

Pekka Neittaanmäki  and
Jukka Saranen
Pekka Neittaanmäki
Affiliation:
Department of Mathematics, University of Jyväskylä, Sammonkatu 6, SF-40100 Jyväskylä 10, Finland
Jukka Saranen
Affiliation:
Department of Mathematics, University of Jyväskylä, Sammonkatu 6, SF-40100 Jyväskylä 10, Finland
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Synopsis

In this paper the semi-discrete Galerkin approximation of initial boundary value problems for Maxwell's equations is analysed. For the electric field a hyperbolic system of equations is first derived. The standard Galerkin method is applied to this system and a priori error estimates are established for the approximation.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 89 , Issue 1-2 , 1981 , pp. 125 - 133
Copyright
Copyright © Royal Society of Edinburgh 1981

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