This article shows that the weighting coefficient matrices of the differential quadrature method (DQM) are centrosymmetric or skew-centrosymmetric, if the grid spacings are symmetric irrespective of whether they are equal or unequal. A new skew centrosymmetric matrix is also discussed. The applicati
Reducing the computational requirements of time-reversal device optimizations
β Scribed by Ian Scott; Ana Vukovic; Phillip Sewell
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 197 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0894-3370
- DOI
- 10.1002/jnm.746
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β¦ Synopsis
Abstract
Timeβreversal simulations using conventional numerical algorithms provide the basis for a simple component optimization procedure. However, the computational requirements of the approach can become excessive, requiring the recording of the complete field time histories on a surface surrounding the problem space. In this work temporal, spatial and modal filtering methods are employed to significantly reduce the computational resources demanded by the timeβreversal process. The design of a number of WR90 (Xβband) waveguide components is used to quantify the balance between the computational efficiency gains and deterioration in the final design quality. Copyright Β© 2009 John Wiley & Sons, Ltd.
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