1. Figure 4
2. For each refinement, anew stiffness matrix K was assembled using the valuesfrom Table 5. The CA methodwasusedto approximatethe solution after each refinement for both cases using from one up to five basis vectors in rBto solve forthe temperature at each node. Finally, a Referencesolution to the refinement was approximated using Equation (3) for both cases. The approximations of the solution for each number of basis vectors, along with the sup error for each mesh refinement can be found in Tables 6-9. Figures 6-9 show how the sup error relates to the number of basis vectors used for each analysis. Table 10 summarizes the number of degrees of freedom for each case and each refinement, and the number of basis vectors necessary forthe solution to converge to the reference solution. Table 6: 2x2 to 4x2 mesh refinement, Case I boundary conditions. Temperature
3. Survey of Structural Reanalysis Techniques
4. Structural Optimization"AIAA, 1994.
5. Reduced basis approximations of structural displacements for optimaldesign