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parametric analysis, finite element optimization

Here are LabelMover optimization benchmarks.

Move square's right edge to the right in order to get the maximal cross-section area. The movement range is 0..1.

The optimized value is

Reference: 2. QuickField: 1.9981 (0.1%)

There are 11 squares. Move each square's right edge in order to get the maximal total cross-section area. Each edge can be moved independently.

The optimized value is

Reference: 22. QuickField: 21.928 (0.33%)

Move square's right and top edges right and up correspondingly in order to get the maximal cross-section area. The movement range for each edge is 0..1.

The optimized value is

Reference: 4. QuickField: 3.9836 (0.4%)

Move square's 3 edges (right, left and top) in order to get the maximal cross-section area. The movement range for each edge is 0..1.

The optimized value is

Reference: 6. QuickField: 5.9674 (0.54%)

Move square's right edge by its two vertices moving right independently in order to get the maximal cross-section area. The movement range for each vertex is 0..1.

The optimized value is

Reference: 2. QuickField: 1.9967 (0.17%)

Move half-circle's right vertex in order to get the maximal cross-section area. The movement range is 0..1.

The optimized value is

Reference: 3.5343, QuickField: 3.5271 (0.2%)

Move common boundary 1-1 of rectangle and half-circle in order to get the

Half circle cross section is

The rectangle cross section is

The optimal parameter value is

Reference: 0.6366, QuickField: 0.6366 (0.0%)

Move half-circle's right vertex in order to get the maximal volume. Axisymmetric model represents sphere. The sphere volume is calculated. The movement range is 0..1.

The optimized value is

Reference: 14.1372, QuickField: 14.094 (0.31%)

Volume of sphere and cylinder is minimized

The sphere volume is

The optimal parameter value is

Reference: 0.7071, QuickField: 0.7059 (0.17%)

Minimization of the total length of the lines connecting the internal point of the rectangle with its vertices. Optimal position of the internal point should be in the intersection of the diagonals.

Reference: 5.6569, QuickField: 5.6569 (0%)