Absorbing boundary conditions for the finite element solution of the vector wave equation
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Time-harmonic electromagnetic field problems in unbounded space may be solved by the finite element method applied inside a sphere which contains the region of interest, providing a suitable boundary condition is imposed on the surface of the sphere. The boundary condition must have the effect of absorbing out-going waves. A new second-order absorbing boundary condition (ABC) is proposed, similar to that introduced by Peterson [1], but capable of being incorporated in a variational principle and consequently leading to symmetric finite-element matrices.
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[2] Andrew F. Peterson,et al. Absorbing boundary conditions for the vector wave equation , 1988 .
[3] C. Wilcox. An expansion theorem for electromagnetic fields , 1956 .