421 let us illustrate the e ect of this equilibrated

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: . p 1=h ( L) ( R) () With Without With Without With Without Balancing Balancing Balancing Balancing Balancing Balancing 1 32 1.135 0.506 0.879 1.429 1.017 1.049 1 64 1.118 0.498 0.888 1.443 1.012 1.044 2 32 1.162 0.578 0.835 1.175 1.008 0.921 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...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern