Appendix F

Finite Element Matrices

6.1 Shape Functions Over Triangle

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

Ni(x,y,z)=ai+bix+ciy,i=1,2,3,

Image(F.1)

where aiImage, biImage and ciImage 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 ...

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