Preconditioning of elliptic problems by approximation in the transform domain
Description
Preconditioned conjugate gradient method is applied for solving linear systems Ax = b where the matrix A is the discretization matrix of second-order elliptic operators. In this paper, we consider the construction of the transform based preconditioner from the viewpoint of image compression. Given a smooth image, a major portion of the energy is concentrated in the low frequency regions after image transformation. We can view the matrix A as an image and construct the transformed based...[Show more]
Collections | ANU Research Publications |
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Date published: | 1997 |
Type: | Working/Technical Paper |
URI: | http://hdl.handle.net/1885/40752 http://digitalcollections.anu.edu.au/handle/1885/40752 |
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File | Description | Size | Format | Image |
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TR-CS-97-12.pdf | 293.24 kB | Adobe PDF |
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