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Figure 1: Reference error in linear (left) and nonlinear (right) problem.

Figure 2: Reference meshes: global mesh over original discretization (left), local meshes over element patches (middle), local meshes over nodal patches (right).

Figure 3: Node-cut partitioning (local nodes - white, shared nodes - gray).

Figure 4: Element-cut partitioning (local nodes - white, remote nodes - black, shared elements - gray).

Figure 5: Brazilian splitting test: computational domain with material parameters(left), static partitioning (right).

Figure 6: Sequence of meshes in the adaptive analysis (meshes are ordered from left to right and from top to bottom).

Figure 7: Loading path of points A (left) and B (right).

Figure 8: Evolution of relative error (left) and of the relative weighted error (right).

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Daniel Rypl