efficient parallel computation to simulate blood flow - CiteSeerX

SuperLU contains a collection of three related subroutine libraries: sequential
SuperLU for uniprocessors, the multithreaded version SuperLU −MT for mediumsize
SMPs, and the MPI version SuperLU − DIST for large distributed memory
machines.
30
Elapsed time with 2 processors
14
Elapsed time with 4 processors
25
20
AS with LU
AS with GMRES
SuperLU
large
12
10
AS with LU
AS with GMRES
SuperLU
15
10
medium
8
6
4
medium
large
5
small
2
small
0
0
10
Elapsed time with 6 processors
7
Elapsed time with 8 processors
8
6
AS with LU
AS with GMRES
SuperLU
6
5
4
AS with LU
AS with GMRES
SuperLU
large
4
2
small
medium
large
3
2
1
small
medium
0
0
Figure 2.25: Comparison of the Elapsed time between Super lu and AS with either
LU or GMRES depending on the number of processor and for small, medium and
large size problem
In Figure 2.25, we used the implementation for shared memory parallel machines
SuperLU − MT, with three different test cases. The small one has a domain discretized
into 100×800, the medium with 200×800 and the larger grid with 300×800
points. We compared the elapsed time between SuperLU and AS with either LU or
GMRES depending on the number of processors and for small, medium and large
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