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

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

**Figure 3:**
Brazilian splitting test: computational
domain with material parameters (left), discretization with 386 linear
elements and 427 nodes (right).

**Figure 4:**
Loading path of point A (left) and point B (right) in
the nonadaptive analysis.

**Figure 5:**
Damage propagation: state I (top left), state II (top right),
state III (bottom left), state IV (bottom right). Note that the scale
is changing.

**Figure 6:**
Relative error evolution in the nonadaptive analysis.

**Figure 7:**
Relative error evolution in the adaptive analysis.

**Figure 8:**
Evolution of the relative weighted error in the adaptive analysis.

**Figure 9:**
Loading path of point A (left) and point B (right) in the
adaptive analysis.

**Figure 10:**
Meshes for the adaptive analysis: Mesh 0 - 386 elements, 427 nodes,
mesh 1 - 462 elements, 507 nodes, mesh 2 - 600 elements, 656 nodes, mesh 3 - 861
elements, 933 nodes, mesh 4 - 1117
elements, 1194 nodes, mesh 5 - 950 elements, 1019 nodes, mesh 6 -
575 elements, 623 nodes, mesh 7 - 524
elements, 569 nodes (meshes are ordered from left to right and from
top to bottom).

**Figure 11:**
Maximum principal strain distribution at step 33: nonadaptive analysis
(left), adaptive analysis (right).

**Figure 12:**
Damage distribution at step 33: nonadaptive analysis
(left), adaptive analysis (right).

**Figure 13:**
Error distribution (in energy norm) at step 33 on mesh 3 (left) and on mesh 4 (right).

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*Daniel Rypl *

2005-12-03