Electromagnetic integral equations with wavelets /
Integral equations that are used to study electromagnetic problems generate dense matrices when solved by the moment method. The use of a wavelet multiresolution analysis basis is presented to allow for thinning (removing the smallest matrix elements) the matrix to produce a sparse form. The wavelet...
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| Format: | Thesis Book |
| Language: | English |
| Published: |
[Place of publication not identified] :
[publisher not identified] ;
1999.
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| Subjects: | |
| Online Access: | http://proxy.library.tamu.edu/login?url=http://proquest.umi.com/pqdweb?did=730293981&sid=1&Fmt=2&clientId=2945&RQT=309&VName=PQD |
| Summary: | Integral equations that are used to study electromagnetic problems generate dense matrices when solved by the moment method. The use of a wavelet multiresolution analysis basis is presented to allow for thinning (removing the smallest matrix elements) the matrix to produce a sparse form. The wavelet basis is implemented in the moment method matrix equation by direct expansion and application of the discrete wavelet transform. A comparison of different wavelets in the discrete wavelet transform implementation of a wavelet multiresolution analysis basis in the solution of the matrix equation is conducted. The lower/upper decomposition direct solution method and the iterative biconjugate gradient method are used to solve the matrix equations. |
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| Item Description: | Vita. "Major Subject: Electrical Engineering". |
| Physical Description: | xi, 81 leaves : illustrations ; 28 cm. Issued also on microfiche from University Microfilm Inc. |
| Bibliography: | Includes bibliographical references (leaves 73-76). |