Green's functions used as preconditioner

W.D. Drenth, R.M.M. Mattheij, J.M.L. Maubach · 2002

The inverse of a boundary value problem operator can be expressed using Green’s functions. In the discrete case this is also valid. With this in mind, a preconditioner is constructed using (approximate) Green’s functions. The method is described in detail. Subsequently the method is tested for a 1-dimensional problem. For grids with local refinements the results are very good. 1

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