On the Fast Matrix Computation for the Heat Radiation Integral Equation

Naji A. Qatanani, Imad Alzeer · Zenodo (CERN European Organization for Nuclear Research) · 2006

In this article we present a very effective numerical solution for the three-dimensional heat radiation boundary integral equation. Some approximation methods for the full dense matrices are reviewed. The adaptive cross approximation (ACA) has been introduced and then used for the compression of the boundary element system matrix.Some numerical experiments have been presented and conclusions were drawn. Through numerical experiments, it has been concluded that the ACA algorithm has been very effective in compressing the system matrix .

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