Unformatted text preview: . p 1=h ( L)
Balancing Balancing Balancing Balancing Balancing Balancing
Table 7.4.3: Local and global e ectivity indices for Example 7.4.4 using (7.4.21) with
and without equilibration.
The essential boundary condition u(r ) = r1=2 cos =2
is prescribed on all boundaries except x > 0, y = 0. Thus, the solution of the Galerkin
problem will satisfy the natural boundary condition uy = 0 there. These conditions have
been chosen so that the exact solution is the speci ed essential boundary condition. This
solution is singular since ur r;1=2 near the origin (r = 0).
Results for the e ectivity indices in strain energy for the entire region and for the two
elements, L and R , adjacent to the singularity are shown in Table 7.4.3. Computations
were performed on a square grid with uniform spacing h in each coordinate direction
(Figure 7.4.4). Piecewise line...
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This document was uploaded on 03/16/2014 for the course CSCI 6860 at Rensselaer Polytechnic Institute.
- Spring '14