Simulation-based design using wavelets

John R. Williams; Kevin S. Amaratunga

doi:10.1117/12.170051

15 March 1994 Simulation-based design using wavelets

John R. Williams, Kevin S. Amaratunga

Proceedings Volume 2242, Wavelet Applications; (1994) https://doi.org/10.1117/12.170051
Event: SPIE's International Symposium on Optical Engineering and Photonics in Aerospace Sensing, 1994, Orlando, FL, United States

Abstract

The design of large-scale systems requires methods of analysis which have the flexibility to provide a fast interactive simulation capability, while retaining the ability to provide high-order solution accuracy when required. This suggests that a hierarchical solution procedure is required that allows us to trade off accuracy for solution speed in a rational manner. In this paper, we examine the properties of the biorthogonal wavelets recently constructed by Dahlke and Weinreich and show how they can be used to implement a highly efficient multiscale solution procedure for solving a certain class of one-dimensional problems.

Citation Download Citation

John R. Williams and Kevin S. Amaratunga "Simulation-based design using wavelets", Proc. SPIE 2242, Wavelet Applications, (15 March 1994); https://doi.org/10.1117/12.170051

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