Fig. 1 An example truss frame structure 16-19) . This is counter-intuitive since one would expect errors to be the lowest when no interface reduction is present. Nevertheless since the reduction technique used here is reducing a problem written in primal and dual variables (deriving from a saddle point variatonal problem) the convergence is not guaranteed to be monotonic. 6 Numerical example of two-dimensional solid In the truss frame example of the previous section, applying interface reduction did not significantly decrease the dimension of the reduced system since for that problem the interface includes a relatively small number of degrees of nodes compared to the internal nodes of the substructures. Let us now consider the problem of plane-stress two-dimensional square decomposed in 9 substructures as illustrated in figure 3. Each substructure is discretized by 10×10 linear four-noded finite element. The structure is clamped in both directions on one side. Daniel J. Rixen 322
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