Search results for "Maxwell equationsHelmholtz equationsSommerfeld conditionMulti domain spectral methodsSpheroidal coordinates"

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Multi-domain spectral approach with Sommerfeld condition for the Maxwell equations

2021

We present a multidomain spectral approach with an exterior compactified domain for the Maxwell equations for monochromatic fields. The Sommerfeld radiation condition is imposed exactly at infinity being a finite point on the numerical grid. As an example, axisymmetric situations in spherical and prolate spheroidal coordinates are discussed.

Physics and Astronomy (miscellaneous)Helmholtz equationRotational symmetryMaxwell equationsHelmholtz equationsSommerfeld conditionMulti domain spectral methodsSpheroidal coordinates010103 numerical & computational mathematicsSommerfeld radiation condition01 natural sciencesDomain (mathematical analysis)010305 fluids & plasmassymbols.namesake0103 physical sciencesFOS: Mathematics[INFO]Computer Science [cs]Mathematics - Numerical Analysis0101 mathematics[MATH]Mathematics [math]Physics[PHYS]Physics [physics]Numerical AnalysisApplied MathematicsMathematical analysisNumerical Analysis (math.NA)Prolate spheroidal coordinatesComputer Science ApplicationsComputational MathematicsDipoleMaxwell's equationsModeling and SimulationsymbolsMonochromatic color

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