Database Reference
In-Depth Information
The following interpolation and restriction matrix applies to the example under
consideration:
2
2
4
3
5
3
2
2
4
3
5
3
x
1
x
1
x
1
1
1
0
0
0
1
4
5
4
5
0
2
4
3
5
2
4
3
5
2
4
3
5
2
4
3
5
y
1
y
1
y
1
y
1
x
2
x
2
x
2
1
1
0
0
0
1
I
1
^
,
I
0
^
y ¼
¼
0
x ¼
y
2
y
2
y
2
y
2
2
4
3
5
2
4
3
5
x
3
x
3
x
3
1
1
0
0
0
1
0
2
3
2
4
3
5
2
4
3
5
x
1
x
1
x
1
2
4
3
5
2
4
3
5
1
4
1
4
1
4
1
4
4
5
0
0
2
3
0
00
1
2
00
1
2
x
2
x
2
x
2
4
5
¼
,
2
4
3
5
1
2
1
2
2
3
0
x
3
x
3
x
3
00
4
5
001
where the preconditioner
C
1
is derived as follows:
2
4
2
4
3
5
2
4
3
5
3
5
1
4
1
4
1
4
1
4
1
þ
0
0
1
4
1
4
1
4
1
4
2
2
4
3
5
3
2
2
4
3
5
3
1
þ
0
0
x
1
e
x
1
x
1
x
1
e
0
0
4
5
4
5
x
1
e
1
2
00
1
2
x
1
2
3
001
þ
2
4
3
5
2
4
3
5
1
2
1
2
x
2
e
x
2
x
2
x
2
e
1
þ
0
2
3
2
3
4
5
C
1
^
x
2
e
1
4
1
4
1
4
1
4
x ¼
¼
:
0
1
þ
0
1
2
1
2
x
2
4
5
4
5
2
4
3
5
1
þ
0
2
4
3
5
x
3
e
x
3
x
3
x
3
e
1
4
1
4
1
4
1
4
0
1
þ
0
x
3
e
001
þ
1
x
3
00
1
2
1
2
001
þ
0
0
β
l
,
t
were set to a constant 1. We should
now take a brief look at the method of operation of the preconditioner. Thus, an
update via the action
x
1
leads to an update of the actions
x
1
themselves and also
x
2
in
accordance with:
For simplicity's sake all scaling factors
x
1
,
1
4
1
4
x
1
:
x
1
¼
x
2
¼
e
1
þ
e