Multiple regions - The Boundary Element Method with Programming - page 293

5

2

1

1

5

2

1 1 2

2

1

1 2

Region I t t

Region II

4 2 8 6

u 0

0

2

2 1

1

2

1

2 1

3

7

3

4 6

Figure 11.5 Example for stiffness assembly, partially coupled problem with global node
numbering; local (element) numbering shown in italics.

4 2

1

3

I
t 10

II
t 20

t = t 0

u = 0

u = 0

II
t 10

I
t 20

4

1

2

3

I
t 11

II
t 22

I u I u

1

1

1 2

u = 0

I u

1

I u

0

1

II
t 12

2 I

t 21

II
t 21

I
t 12

I u

I u

0

0

1

1

u = 0

I u

1

I u

1

2

I
t 22

2

II
t 11

Region II

Region I

Figure 11.6 The different problems to be solved for regions I and II (potential problem)

On the top of Figure 11.6 we show the local (region) numbering that is adapted for
region I and II. The sequence in which the nodes of the region are numbered is such that
the interface nodes are numbered first. We also depict in the same figure the problems