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IEEE Transactions on Microwave Theory and Techniques
Volume 48 Number 6, June 2000

Table of Contents for this issue

Complete paper in PDF format

On the FEM Treatment of Wedge Singularities in Waveguide Problems

Jaakko S. Juntunen and Theodoros D. Tsiboukis Member, IEEE

Page 1030.

Abstract:

This paper introduces a novel extension to a scalar two-dimensional polynomial finite-element basis to better cope with wedge singularities in waveguide problems. An error estimate for the computed cutoff frequencies of the waveguide shows that the relative H1 error of the modal solution is critical. We demonstrate that the present extension significantly improves the approximation properties of a polynomial basis,especially in the H1 norm. Numerical examples show that the present extension compares well with other recent techniques. Combining variable order elements with singular basis extension provides further significant reduction of the computational burden.

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