Finite Element Methods in Engineering Winter Semester Lecture 8 Copyright by PZ Bar-Yoseph ©
Bilinear (4-node) rectangular element FE Model for 2-D Boundary Value Problems
Assuming that the problem is symmetric w.r.t. x & y :
Uniform mesh refinement with 4-node rectangular elements
Non-uniform mesh refinement with 4-node rectangular elements
Bilinear 4-node rectangular element Bilinear interpolation on the eth rectangular element
Real element Master element
Bilinear Lagrangian Element
where
Various types of incompatible connections of finite elements. (Interelement continuity is violated along the connecting sides)
Along side 3-4:
Pascal’s triangle for bilinear and biquadratic elements
Gauss points and weights for 2-D product type Gauss-Legendre quadrature rule.