A Study of Wavelets and Finite Elements Analysis
H. Yabunami, S. Hayano, Yoshitaka Saito · Journal of the Visualization Society of Japan · 2000
Wavelets transform becomes a quite popular tool for analyzing the time domain signals and for the image data compression. On the other side, numerical analysis of various vector field problems becomes also a quite sophisticate methodology with the developments of modern high performance personal computers. Previously, we have reported that the wavelets transform is applicable to the numerical analysis of the vector fields regarding a system matrix as a two-dimensional image data. However, it has been pointed out that the wavelets transform could not apply to the two-or three-dimensional vector field analysis. To overcome this difficulty, this paper tries to apply the wavelets transform approach to a two-dimensional magnetostatic field problem. As a result, it is shown that the wavelets transform yields a fairly good approximate solution depending on the arrangements of system equation, even if the two-dimensional vector field problems.