Skip to main content

Table 5 Example prestressed concrete: GKB convergence for \(\epsilon _{GKB}=10^{-5}\) and \(d=5\)

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

 

m

n

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

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

\(\varvec{\frac{\Vert \mathbf{u} - \mathbf{u }_{k} \Vert _{2}}{\Vert \mathbf{u} \Vert _2}}\)

\(\varvec{\frac{\Vert \mathbf{p} -\mathbf{p }_{k} \Vert _{2}}{\Vert \mathbf{p} \Vert _2}}\)

Prob. 1

498

258

9

\(1.12.10^{-13}\)

\(8.13.10^{-14}\)

\(1.12.10^{-13}\)

Prob. 2

3207

1590

9

\(3.49.10^{-12}\)

\(3.47.10^{-12}\)

\(4.78.10^{-12}\)

Prob. 3

23043

11382

9

\(2.30.10^{-11}\)

\(2.30.10^{-11}\)

\(2.83.10^{-11}\)