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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 · r( H) = 0: Those 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 refer to Brief Introduction to Maxwell’s Equations. In this note, we shall consider finite element methods for solving time-harmonic Maxwell equations. 1 ...

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