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IEEE Transactions on Antennas and Propagation
Volume 46 Number 4, April 1998

Table of Contents for this issue

Complete paper in PDF format

Perfectly Matched Layer Mesh Terminations for Nodal-Based Finite-Element Methods in Electromagnetic Scattering

Jingwu Tang, Keith D. Paulsen, and Shah A. Haider

Page 507.

Abstract:

The perfectly matched layer (PML) concept introduced by Berenger 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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