Abstract
This work investigates the applicability of wavelet transform in electromagnetic field problems. A new approach to the numerical solution of the electric field integral equation (EFIE) is proposed. Rather than applying wavelet bases directly to obtain new discretizations, we exploit the available wavelet bases to obtain more efficient solution algorithms for the classical discretizations. We discretize the EFIE using the method of moments (MoM). The discrete wavelet transform (DWT) is then applied to the resulting dense algebraic system. This procedure involves O(N^2) operations and leads to a sparse matrix problem. Solving this sparse matrix system by iterative methods requires only O(Nlog2N) operations whereas O(N^3) operations are required for the traditional methods. Comparisons of the run-times, number of iterations and error estimations are made for different iterative methods and for different sizes of the matrix equations. The advantages and shortcomings of the presented methods are discussed and the best choices are singled out.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
