Finite Element Techniques for Fluid Flow

INTERPOLATION FUNCTIONS 121

equal to 1. The results represent the error in the temperature u

at the point x = 1. The exact value of

u

at that point is obtained by

integrating (a) with boundary conditions (b) and is equal to 01429.

The results point out the convenience of using finite elements

when trying to represent complex source functions of the type p = x

5

.

In finite elements these functions are distributed in accordance with

the interpolation functions

;

i.e. for equations (a) and

(b) we

have the

following variational statement

:

Integrating by parts, this gives

Π(3(Ξ)

♦'*}*-

where the p function is distributed in accordance with the inter ...