HEJ, HU ISSN 1418-7108
Manuscript no.: ANM-980724-A
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Model problem 2, standard triangulation

The increasing iteration numbers of the second column of Table 7 (exact solvers $B_I = C_I = K_I$) confirm the growing spectral equivalence constants of the BPS preconditioner $C_C$ to $S_C$.

For the comparison of MG and FMG, and for different $\omega$, there hold exactly the same conclusions as for the corresponding model problem 1. Table 8 comprises the degrees of freedom and the computational time for $\omega = 1.5$.


 
Table: Model problem 2, standard triangulation, # cg iterations
\begin{tabular}{c\vert\vert c\vert cccccc}
& \multicolumn{7}{c}{ \rule[-2.0ex]{...
... 37 & 22 & 21 & 37 \\
8 & 15 & 194 & 96 & 56 & 27 & 23 & 44 \\
\end{tabular}



 
Table: Model problem 2, standard triangulation, # cg iterations and time for $\omega=1.5$
\begin{tabular}{c\vert\vert r\vert cr\vert cr}
& & \multicolumn{2}{c\vert}{ $B_...
...8 & 25.9 & 21 & 24.0 \\
8 & 1 050 625 & 35 & 130.6 & 23 & 107.1
\end{tabular}


HEJ, HU ISSN 1418-7108
Manuscript no.: ANM-980724-A
Frontpage previous next