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FINITE ELEMENT METHODS FOR MAXWELL EQUATIONS

FINITE ELEMENT METHODS FOR MAXWELL EQUATIONSLONG CHENABSTRACT. We give a brief introduction to FINITE ELEMENT METHODS for solving that the time-harmonic MAXWELL equation for electric fieldEis ( 1 E) 2 E= J ( E) = .The time-harmonic MAXWELL equation for magnetic fieldHis ( 1 H) 2 H= J ( H) = are obtained by Fourier transform in time for the original MAXWELL EQUATIONS . Here is a positive constant called the frequency. For derivation and physical meaning, we refertoBrief Introduction to MAXWELL s EQUATIONS . In this note, we shall consider FINITE elementmethods for solving time-harmonic MAXWELL INTRODUCTIONLet be a bounded Lipschitz domain inR3. We introduce the Sobolev spacesH(curl ; ) ={v L2( ),curlv L2( )},H(div; ) ={v L2( ),divv L2( )}The intensity fields(E,H)belong toH(curl ; )while the flux field(D,B)inH(div; ).

Jul 18, 2020 · since the differential operator div or curl controls only partial component of the vector function. The best way to look at the trace is, again, through integration by parts. Recall that : H1() !H1=2(@) is the trace operator for H1 functions. It is continuous and surjective. When uis also continuous on , u= uj@. 3.1. H(div;) space. For ...

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  Methods, Differential, Equations, Partial, Maxwell, Elements, Finite, Finite element methods for maxwell equations

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