Preconditioned minimal residual methods for Chebyshev spectral calculations
Preconditioned minimal residual methods for Chebyshev spectral calculations
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DOI：
10.1016/0021-9991(85)90010-5
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发表时间：
1985-09
影响因子：
4.1
通讯作者：
C. Canuto;A. Quarteroni
中科院分区：
文献类型：
--
作者：
C. Canuto;A. Quarteroni
The problem of preconditioning the pseudospectral Chebyshev approximation of an elliptic operator is considered. The numerical sensitivity to variations of the coefficients of the operator are investigated for two classes of preconditioning matrices: one arising from finite differences, the other from finite elements. The preconditioned system is solved by a conjugate gradient type method, and by a DuFort-Frankel method with dynamical parameters. The methods are compared on some test problems with the Richardson method [13] and with the minimal residual Richardson method [21].
