Skip to main content

Table 4 Different choices for \(\nu \) for cylinder problem 4, \(\epsilon _{GKB}\)=1e−5 and \(d=5\)

From: Application of an iterative Golub-Kahan algorithm to structural mechanics problems with multi-point constraints

\(\varvec{\nu }\)

#iter \(\varvec{(=:k)}\)

\(\varvec{\frac{\Vert \mathbf{u} - \mathbf{u} _{k}\Vert _\mathbf{M }}{\Vert \mathbf{u} \Vert _\mathbf{M }}}\)

\(\varvec{\frac{\Vert \mathbf{p} - \mathbf{p} _{k}\Vert _{2}}{\Vert \mathbf{p} \Vert _{2}}}\)

\(\eta =0, \nu = 1\) (M=W)

336

\(7.88.10^{-7}\)

\(6.37.10^{-6}\)

1

30

\(4.31.10^{-8}\)

\(3.75.10^{-8}\)

17

13

\(4.60.10^{-11}\)

\(5.02.10^{-11}\)

133

10

\(3.08.10^{-10}\)

\(4.44.10^{-10}\)

357

9

\(8.87.10^{-10}\)

\(6.53.10^{-10}\)