Human Interaction with Electromagnetic Fields

Appendix F

Finite Element Matrices

6.1 Shape Functions Over Triangle

Shape functions expanded over a triangular element can be expressed using a polynomial

$N_i(x,y,z)=a_i+b_{i}x+c_{i}y,i=1,2,3,$

(F.1)

where $a_i$, $b_i$ and $c_i$ are the coefficients to be found [1,2]. Since the shape function is of local support, it is convenient to derive it using the so-called simplex ...