Dealing with corners and changing geometry - The Boundary Element Method with Programming - page 327

U

N

1

1

1 3 2

P i

d d

1 2

[

1 1

[

0

1

[

0

1

Figure 12.3

P is located at local node 1 and the shape function value is one

Integration when

The following transformations from intrinsic coordinate [ to [ have to be applied
depending on the location of the collocation node inside the element.

P i located at node 1:

d [

[

Left sub region: [ d [ 1 d 1 d

1 1 1

d

d [

[

Right sub region: [ d [ 1 d 1 d

1 1 1

d

P i located at node 2:

d [

[

Left sub region: [ d [ 1 d 1 d

2 2 2

d

d [

[

Right sub region: [ d [ 1 d 1 d

2 2 2

d

P i located at node 3

d
d

[
[

Left sub region: [[ 1