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n b P0 P1 P2 P3 m - University of Minnesotakumar/papers/sparse-2D-trisolve.pdf4 6 5 18 3 3 3 3 4 10...
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Transcript of n b P0 P1 P2 P3 m - University of Minnesotakumar/papers/sparse-2D-trisolve.pdf4 6 5 18 3 3 3 3 4 10...
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P0 P1
P2 P3v
h blks
blks
(c)
solutionflow
updateflow
(a)
solution
flow
flow
update
(b)
0123456789
101112131415
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0 1 3 4 9 10 12 13
2 5 11 14
18: Supernode
: Node
: Subtree
4
65
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33334
10111516
5555
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12141718
66666666
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358
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22223
1267
11111
0
78
20000
13141518
777713
9111617
4444
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576
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01818
0P 1P 2P 3P 4P 5P 6P
0 1P 6 7P
T : Dense Supernodal Matrix
4 5P2 3P
7P
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0
T T TTTT T T
02 3
10 00 01
678
186 7 8
T
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15161718
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T
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678
3333
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151617
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777
000
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111516
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0
U UU
U U U U U U UU
U U
018 518
0 1 3 4 5 6
0 35
2
7
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7 2
32 54 6701
0
05
6666
15161718
UT
6666
15161718
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600
00
2678
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T33333
5678
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T
555
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511151617
T
T
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13P
4 576
and the computed solution for index k:
kpk
U : Update vector
processor p owns the right-hand side
P : Subcube as the Logical Grid
6 7
4 5P
0 1
2 3P
12 131 4 10
0
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0 20 40 60 80 100 120 140
Tim
e (
sec.)
Number of Processors
bcsstk15bcsstk30
copter2hsct2
144pf3D
0
0.5
1
1.5
2
0 20 40 60 80 100 120 140
Tim
e (
sec.)
Number of Processors
bcsstk15bcsstk30
copter2hsct2
144pf3D
(a) (b)
(a) (b)
0
200
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0 20 40 60 80 100 120 140
Perf
orm
ance (
MF
LO
PS
)
Number of Processors
bcsstk15bcsstk30
copter2hsct2
144pf3D
0
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0 20 40 60 80 100 120 140
Perf
orm
ance (
MF
LO
PS
)
Number of Processors
bcsstk15bcsstk30
copter2hsct2
144pf3D
