| Author | S. Dey, J.E. Flaherty, T. K. Ohsumi and M.S. Shephard |
|---|---|
| Title | Integration by Table Look-Up for p-version Finite Elements on Curved Tetrahedra |
| Year | 2005 |
| Journal | Comput. Methods Appl. Mech. Engrg. |
| Institution | Rensselaer Polytechnic Institute |
| Abstract | We develop a method of evaluating element level matrices and vectors associated with p-version finite element computations on tetra-hedral meshes with curved boundaries. The procedure uses optimal interpolation formula [7,8] for non-polynomial portions of integrands followed by exact integration. Exact integrals of product combinations of polynomial interpolants and shape functions are stored so that different integrals may be efficiently evaluated by a table look up. |
| PDF File |  Download |