Progress on radiation boundary conditions for electromagnetic finite element analysis
Univ. Stellenbosch, MatielandDOI: 10.1109/ICEAA.2007.4387463 Conference: Electromagnetics in Advanced Applications, 2007. ICEAA 2007. International Conference on
Source: IEEE Xplore
Recent progress on three types of radiation boundary conditions (RBCs) for the finite element method (FEM) is presented. The following RBCs are discussed: a rigorous implementation of the 2nd order Bayliss-Turkel type for vector FEM; an implementation of a spherical perfectly matched layer (PML); and infinite elements. The performance of the 2nd order absorbing boundary condition (ABC) and the spherical PML are compared, both with each other and with the standard 1st order ABC. Implementation issues are addressed. Current work on infinite elements for terminating tetrahedral meshes is outlined.
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ABSTRACT: In this letter, a circular absorbing boundary using the radial perfectly matched layer (RPML) is investigated for the alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method. A staircase approach is used to approximate the circular boundary so that it is directly compatible with the commonly used Yee's lattice. The proposed RPML boundary is computationally more efficient than the traditional rectangular PML boundary. It was found that more than 20% of the memory and computation time can be saved by using the proposed method.
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