Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4646177 | Applied Numerical Mathematics | 2009 | 18 Pages |
Abstract
Based on Chebyshev–Gauss–Lobatto points, the piecewise linear finite element preconditioner is analyzed in terms of condition numbers for the high-order element discretizations applied to a model elliptic operator. The optimality of such a preconditioner is proved for one-dimensional case and the scalability is shown for two-dimensional case. Further, we provide O(N1/3) growth of piecewise linear finite element preconditioner numerically.
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