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Preconditioning of elliptic problems by approximation in the transform domain

Ng, Michael K


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]

CollectionsANU Research Publications
Date published: 1997
Type: Working/Technical Paper


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