Finite Element Techniques for Fluid Flow

THE FINITE ELEMENT TECHNIQUE 97

EXERCISES

2-1 Compare the conventional Galerkin method with the finite

element technique. Point out the differences.

2-2 Write a macro flow chart for a computer program to find the

eigenvalues and eigenvectors corresponding to the equation

with boundary conditions

u

=

ü

on S

t

and 3W/3H = 0 on S

2

. Assume

the Jacobi subroutine of Example 2.6 is used.

2-3 Check if the function

u = a

x

+ a

2

£ +

a

3

rç

+ a^f/ (a)

satisfies admissibility and completeness for the rectangular element

shown in Figure 2.8, when solving the Laplace equation.

Figure 2.8 Quadrilateral element

2-4 Take the approximate u function on the rectangula ...