6533b871fe1ef96bd12d2268
RESEARCH PRODUCT
Semi-discrete Galerkin approximation method applied to initial boundary value problems for Maxwell's equations in anisotropic, inhomogeneous media
Pekka NeittaanmäkiJukka Saranensubject
symbols.namesakeMaxwell's equationsGeneral MathematicsElectric fieldMathematical analysissymbolsA priori and a posterioriBoundary value problemAnisotropyGalerkin methodHyperbolic systemsMathematicsdescription
SynopsisIn 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1981-01-01 | Proceedings of the Royal Society of Edinburgh: Section A Mathematics |