1. Finite Element Methods in Engineering-1 036015 Winter Semester Lecture 8 Copyright by PZ Bar-Yoseph ©

2. Bilinear (4-node) rectangular element FE Model for 2-D Boundary Value Problems

6. Assuming that the problem is symmetric w.r.t. x & y :

7. Uniform mesh refinement with 4-node rectangular elements

8. Non-uniform mesh refinement with 4-node rectangular elements

9. Bilinear 4-node rectangular element Bilinear interpolation on the eth rectangular element

10. Real element Master element

12. Bilinear Lagrangian Element

13. where

15. Various types of incompatible connections of finite elements. (Interelement continuity is violated along the connecting sides)

24. Along side 3-4:

26. Pascal’s triangle for bilinear and biquadratic elements

27. Gauss points and weights for 2-D product type Gauss-Legendre quadrature rule.