Multiwavelet based moment method under discrete Sobolev-type norm
✍ Scribed by George Pan; Meisong Tong; Barry Gilbert
- Book ID
- 102516617
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 96 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0895-2477
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
Multiwavelets are successfully applied to Galerkin's method for solving integral equations. High precision and fast convergence are demonstrated because of the desirable properties of multiwavelets, including compact support, symmetry and antisymmetry, regularity (continuity and smoothness), explicit expressions, and more importantly, the orthogonality under a Sobolev‐type inner product. As a result, numerical integrations in the testing procedure are carried out explicitly. Numerical examples are conducted for electromagnetic waves scattering from smooth surfaces and surfaces with sharp edges, and propagating along microstrips with finite thickness. The new algorithm demonstrates significant improvement over the traditional MoM in terms of momery and CPU time up to two orders of magnitude. The new algorithm is easy to implement and program. © 2004 Wiley Periodicals, Inc. Microwave Opt Technol Lett 40: 47–50, 2004; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.11282