Discretisation and Interpolation - The Boundary Element Method with Programming - page 35

(3.13)

L

¦

n

x N [, K x

n

n 1

where for boundary elements

x
y
z

§·
¨¸
¨ ¨ ©¹ x

(3.14)

For cells we have

x
y

§·
¨ ©¹

(3.15)

x

N [K

1 (, )

K

4

3

1

[

1

2

Figure 3.7 Bilinear shape function N 1

Ș

Ș

3

7

ȟ

4

6

8

ȟ

z

2

1

5

y

x

b )

a)

Figure 3.8 Quadratic Serendipity element