Optimum Mesh Grading for Finite-Difference Method
W. Heinrich1, K. Beilenhoff2, P. Mezzanotte3, L. Roselli3
Published in:
IEEE Trans. Microwave Theory Tech., vol. 44, no. 9, 1569-1574 (1996).
Abstract:
The coarseness error of the finite-difference (FD) method is studied analyzing a typical planar waveguide and a rectangular coaxial geometry. Results for equidistant and graded mesh are compared in terms of accuracy and numerical efforts. Because of the field singularities involved a graded mesh proves to be superior compared to the equidistant case. A grading strategy with optimum efficiency is presented. Furthermore, the results show that the most significant improvement in accuracy can be obtained by incorporating the edge behavior into the FD scheme.
1 Ferdinand-Braun-Institut, 12489 Berlin, Germany
2 Institut fur Hochfrequenztechnik, Technische Hochschule Darmstadt, 64283 Darmstadt, Germany
3 Istituto di Elettronica, University of Perugia, 06131 Perugia, Italy
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