Search results for "Galerkin Method"

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

1981

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.

symbols.namesakeMaxwell's equationsGeneral MathematicsElectric fieldMathematical analysissymbolsA priori and a posterioriBoundary value problemAnisotropyGalerkin methodHyperbolic systemsMathematicsProceedings of the Royal Society of Edinburgh: Section A Mathematics
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