Wavelets in the domain decomposition method for transient heat conduction equation

A. Avudainayagam; C. Vani

doi:10.1117/12.366765

26 October 1999 Wavelets in the domain decomposition method for transient heat conduction equation

A. Avudainayagam, C. Vani

Proceedings Volume 3813, Wavelet Applications in Signal and Image Processing VII; (1999) https://doi.org/10.1117/12.366765
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1999, Denver, CO, United States

Abstract

We solve the transient heat conduction equation in an L- shaped region using domain decomposition and boundary integrals. The iterations need to be carried out only on the interfaces between the subdomains unlike finite difference or finite element methods where the iterations are to be performed in the entire domain. Numerically, the problem reduces to the multiplication of dense matrices by vectors of boundary or initial values. The DAUB4 wavelet transform is used to compress the matrices which leads to computational advantage without loss of accuracy. This procedure, capable of parallel implementation, is an extension of the work of Zarantonello and Elton for Laplace equation in overlapping circular discs.

Citation Download Citation

A. Avudainayagam and C. Vani "Wavelets in the domain decomposition method for transient heat conduction equation", Proc. SPIE 3813, Wavelet Applications in Signal and Image Processing VII, (26 October 1999); https://doi.org/10.1117/12.366765

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