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Perfectly matched layer mesh terminations for nodal-based finite-element methods in electromagnetic scattering

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3 Author(s)
Jingwu Tang ; Thayer Sch. of Eng., Dartmouth Coll., Hanover, NH, USA ; Paulsen, K.D. ; Haider, S.A.

The perfectly matched layer (PML) concept introduced by Berenger (1994) is implemented for nodal-based finite-element frequency-domain methods. Starting from a scalar/vector potential framework, anisotropic media-equivalent gauge conditions are developed for both coupled and uncoupled (i.e., direct field) scalar/vector field formulations. The resulting discrete system of equations are shown to be identical for both the anisotropic and stretched coordinate viewpoints of PML mesh termination on node-based finite elements. Reaching this equivalency requires that special attention be paid to the basis/weighting functions used within the PML region, specifically, a material dependency is found to be essential. The alternative but identical stretched coordinate approach provides the perspective needed to realize a scheme for generalizing the PML to non-Cartesian mesh terminations which are more natural in the finite element context. Several benchmark problems and associated numerical results are presented to demonstrate the performance of the PML on node-based finite elements

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Antennas and Propagation, IEEE Transactions on  (Volume:46 ,  Issue: 4 )