[Trilinos-Users] Problem with solving the system of equation in an overlapping sub-domain
V M Krushnarao Kotteda
kvmkrao at gmail.com
Wed Jun 29 13:54:41 EDT 2016
Hi All,
I am using a flow solver which includes a domain decomposition library.
Therefore, I got the linear system of equations on each sub-domain
including
the overlapping region ( Please see the attachment for two sub domains).
I re-ordered the equations on the second processor and solved them using
Aztec00
package. GMRES/BiCGStab solver in the Aztec00 package was not able to give
me a converging solution.
I considered a structured mesh in two dimensions.
Therefore, the nodes( or grid points) can be identified with I-index (in
X-direction)
and J-index(in Y-direction). The maximum number of nodes in x-directions
is 18. The maximum number of nodes in y-directions is 5. The following are
the
local as well as global equation numbers on two different processors.
Proc# I-index J-index LocalEq# GlobalEq#
0 0 1 1 1
0 0 2 2 2
0 0 3 3 3
0 0 4 4 4
0 0 5 5 5
0 1 1 6 6
0 1 2 7 7
0 1 3 8 8
0 1 4 9 9
0 1 5 10 10
0 2 1 11 11
0 2 2 12 12
0 2 3 13 13
0 2 4 14 14
0 2 5 15 15
0 3 1 16 16
0 3 2 17 17
0 3 3 18 18
0 3 4 19 19
0 3 5 20 20
0 4 1 21 21
0 4 2 22 22
0 4 3 23 23
0 4 4 24 24
0 4 5 25 25
0 5 1 26 26
0 5 2 27 27
0 5 3 28 28
0 5 4 29 29
0 5 5 30 30
0 6 1 31 31
0 6 2 32 32
0 6 3 33 33
0 6 4 34 34
0 6 5 35 35
0 7 1 36 36
0 7 2 37 37
0 7 3 38 38
0 7 4 39 39
0 7 5 40 40
0 8 1 41 41
0 8 2 42 42
0 8 3 43 43
0 8 4 44 44
0 8 5 45 45
0 9 1 46 46
0 9 2 47 47
0 9 3 48 48
0 9 4 49 49
0 9 5 50 50
0 10 1 51 51
0 10 2 52 52
0 10 3 53 53
0 10 4 54 54
0 10 5 55 55
1 7 1 1 36
1 7 2 2 37
1 7 3 3 38
1 7 4 4 39
1 7 5 5 40
1 8 1 6 41
1 8 2 7 42
1 8 3 8 43
1 8 4 9 44
1 8 5 10 45
1 9 1 11 46
1 9 2 12 47
1 9 3 13 48
1 9 4 14 49
1 9 5 15 50
1 10 1 16 51
1 10 2 17 52
1 10 3 18 53
1 10 4 19 54
1 10 5 20 55
1 11 1 21 56
1 11 2 22 57
1 11 3 23 58
1 11 4 24 59
1 11 5 25 60
1 12 1 26 61
1 12 2 27 62
1 12 3 28 63
1 12 4 29 64
1 12 5 30 65
1 13 1 31 66
1 13 2 32 67
1 13 3 33 68
1 13 4 34 69
1 13 5 35 70
1 14 1 36 71
1 14 2 37 72
1 14 3 38 73
1 14 4 39 74
1 14 5 40 75
1 15 1 41 76
1 15 2 42 77
1 15 3 43 78
1 15 4 44 79
1 15 5 45 80
1 16 1 46 81
1 16 2 47 82
1 16 3 48 83
1 16 4 49 84
1 16 5 50 85
1 17 1 51 86
1 17 2 52 87
1 17 3 53 88
1 17 4 54 89
1 17 5 55 90
Can you please suggest me how to arrange this type of equations using a
package
and a package to solve this type of system of equations?
Thank you.
Best regards,
V M Krushnarao Kotteda
Postdoctoral researcher
Department of Mechanical Engineering
The University of Texas at El Paso
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