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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 \(2.30.10^{-11}\) \(2.30.10^{-11}\) \(2.83.10^{-11}\)