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SOR iterations for linear systems arising from finite element approximations to $2m$th order elliptic problems are considered. It is shown that, in general, the asymptotic rate of convergence is O(h²ᵐ ), where h denotes the mesh length. However, if the relaxation parameters are suitably chosen, this can be increased to O(hᵐ ).
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Fix et al. (1971) studied this question.
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