DM Object: Hexahedral Mesh 4 MPI processes
  type: plex
Hexahedral Mesh in 2 dimensions:
Supports:
[0] Max support size: 6
[0]: 2 ----> 11
[0]: 2 ----> 16
[0]: 2 ----> 19
[0]: 3 ----> 11
[0]: 3 ----> 18
[0]: 4 ----> 12
[0]: 4 ----> 15
[0]: 4 ----> 21
[0]: 5 ----> 12
[0]: 5 ----> 13
[0]: 5 ----> 16
[0]: 5 ----> 17
[0]: 5 ----> 20
[0]: 5 ----> 22
[0]: 6 ----> 13
[0]: 6 ----> 18
[0]: 7 ----> 14
[0]: 7 ----> 15
[0]: 8 ----> 14
[0]: 8 ----> 17
[0]: 9 ----> 19
[0]: 9 ----> 20
[0]: 10 ----> 21
[0]: 10 ----> 22
[0]: 11 ----> 0
[0]: 12 ----> 1
[0]: 13 ----> 0
[0]: 14 ----> 1
[0]: 15 ----> 1
[0]: 16 ----> 0
[0]: 17 ----> 1
[0]: 18 ----> 0
[0]: 19 ----> 0
[0]: 20 ----> 0
[0]: 21 ----> 1
[0]: 22 ----> 1
[1] Max support size: 4
[1]: 2 ----> 12
[1]: 2 ----> 15
[1]: 2 ----> 20
[1]: 2 ----> 21
[1]: 3 ----> 12
[1]: 4 ----> 15
[1]: 5 ----> 13
[1]: 5 ----> 16
[1]: 6 ----> 13
[1]: 6 ----> 17
[1]: 7 ----> 14
[1]: 7 ----> 16
[1]: 8 ----> 14
[1]: 8 ----> 17
[1]: 9 ----> 18
[1]: 9 ----> 19
[1]: 10 ----> 18
[1]: 10 ----> 20
[1]: 11 ----> 19
[1]: 11 ----> 21
[1]: 12 ----> 1
[1]: 13 ----> 0
[1]: 14 ----> 0
[1]: 15 ----> 1
[1]: 16 ----> 0
[1]: 17 ----> 0
[1]: 18 ----> 1
[1]: 19 ----> 1
[1]: 20 ----> 1
[1]: 21 ----> 1
[2] Max support size: 4
[2]: 2 ----> 10
[2]: 3 ----> 10
[2]: 3 ----> 12
[2]: 3 ----> 16
[2]: 3 ----> 17
[2]: 4 ----> 11
[2]: 5 ----> 11
[2]: 5 ----> 12
[2]: 5 ----> 18
[2]: 5 ----> 19
[2]: 6 ----> 13
[2]: 6 ----> 14
[2]: 6 ----> 15
[2]: 7 ----> 13
[2]: 7 ----> 16
[2]: 8 ----> 14
[2]: 8 ----> 17
[2]: 8 ----> 18
[2]: 9 ----> 15
[2]: 9 ----> 19
[2]: 10 ----> 0
[2]: 11 ----> 1
[2]: 12 ----> 0
[2]: 12 ----> 1
[2]: 13 ----> 0
[2]: 14 ----> 0
[2]: 14 ----> 1
[2]: 15 ----> 1
[2]: 16 ----> 0
[2]: 17 ----> 0
[2]: 18 ----> 1
[2]: 19 ----> 1
[3] Max support size: 4
[3]: 1 ----> 8
[3]: 2 ----> 7
[3]: 2 ----> 8
[3]: 2 ----> 11
[3]: 2 ----> 12
[3]: 3 ----> 7
[3]: 4 ----> 9
[3]: 4 ----> 10
[3]: 5 ----> 9
[3]: 5 ----> 11
[3]: 6 ----> 10
[3]: 6 ----> 12
[3]: 7 ----> 0
[3]: 8 ----> 0
[3]: 9 ----> 0
[3]: 10 ----> 0
[3]: 11 ----> 0
[3]: 12 ----> 0
Cones:
[0] Max cone size: 4
[0]: 0 <---- 11 (0)
[0]: 0 <---- 18 (0)
[0]: 0 <---- 13 (-1)
[0]: 0 <---- 16 (-1)
[0]: 1 <---- 12 (0)
[0]: 1 <---- 17 (0)
[0]: 1 <---- 14 (-1)
[0]: 1 <---- 15 (-1)
[0]: 11 <---- 2 (0)
[0]: 11 <---- 3 (0)
[0]: 12 <---- 4 (0)
[0]: 12 <---- 5 (0)
[0]: 13 <---- 5 (0)
[0]: 13 <---- 6 (0)
[0]: 14 <---- 7 (0)
[0]: 14 <---- 8 (0)
[0]: 15 <---- 4 (0)
[0]: 15 <---- 7 (0)
[0]: 16 <---- 2 (0)
[0]: 16 <---- 5 (0)
[0]: 17 <---- 5 (0)
[0]: 17 <---- 8 (0)
[0]: 18 <---- 3 (0)
[0]: 18 <---- 6 (0)
[0]: 19 <---- 2 (0)
[0]: 19 <---- 9 (0)
[0]: 20 <---- 9 (0)
[0]: 20 <---- 5 (0)
[0]: 21 <---- 4 (0)
[0]: 21 <---- 10 (0)
[0]: 22 <---- 10 (0)
[0]: 22 <---- 5 (0)
[1] Max cone size: 4
[1]: 0 <---- 13 (0)
[1]: 0 <---- 17 (0)
[1]: 0 <---- 14 (-1)
[1]: 0 <---- 16 (-1)
[1]: 1 <---- 20 (0)
[1]: 1 <---- 18 (0)
[1]: 1 <---- 19 (-1)
[1]: 1 <---- 21 (-1)
[1]: 12 <---- 2 (0)
[1]: 12 <---- 3 (0)
[1]: 13 <---- 5 (0)
[1]: 13 <---- 6 (0)
[1]: 14 <---- 7 (0)
[1]: 14 <---- 8 (0)
[1]: 15 <---- 2 (0)
[1]: 15 <---- 4 (0)
[1]: 16 <---- 5 (0)
[1]: 16 <---- 7 (0)
[1]: 17 <---- 6 (0)
[1]: 17 <---- 8 (0)
[1]: 18 <---- 10 (0)
[1]: 18 <---- 9 (0)
[1]: 19 <---- 11 (0)
[1]: 19 <---- 9 (0)
[1]: 20 <---- 2 (0)
[1]: 20 <---- 10 (0)
[1]: 21 <---- 2 (0)
[1]: 21 <---- 11 (0)
[2] Max cone size: 4
[2]: 0 <---- 16 (0)
[2]: 0 <---- 17 (0)
[2]: 0 <---- 14 (0)
[2]: 0 <---- 13 (-1)
[2]: 1 <---- 14 (-1)
[2]: 1 <---- 18 (0)
[2]: 1 <---- 19 (-1)
[2]: 1 <---- 15 (0)
[2]: 10 <---- 2 (0)
[2]: 10 <---- 3 (0)
[2]: 11 <---- 4 (0)
[2]: 11 <---- 5 (0)
[2]: 12 <---- 3 (0)
[2]: 12 <---- 5 (0)
[2]: 13 <---- 7 (0)
[2]: 13 <---- 6 (0)
[2]: 14 <---- 8 (0)
[2]: 14 <---- 6 (0)
[2]: 15 <---- 9 (0)
[2]: 15 <---- 6 (0)
[2]: 16 <---- 7 (0)
[2]: 16 <---- 3 (0)
[2]: 17 <---- 3 (0)
[2]: 17 <---- 8 (0)
[2]: 18 <---- 8 (0)
[2]: 18 <---- 5 (0)
[2]: 19 <---- 9 (0)
[2]: 19 <---- 5 (0)
[3] Max cone size: 4
[3]: 0 <---- 10 (0)
[3]: 0 <---- 9 (-1)
[3]: 0 <---- 11 (-1)
[3]: 0 <---- 12 (-1)
[3]: 7 <---- 2 (0)
[3]: 7 <---- 3 (0)
[3]: 8 <---- 1 (0)
[3]: 8 <---- 2 (0)
[3]: 9 <---- 5 (0)
[3]: 9 <---- 4 (0)
[3]: 10 <---- 6 (0)
[3]: 10 <---- 4 (0)
[3]: 11 <---- 2 (0)
[3]: 11 <---- 5 (0)
[3]: 12 <---- 6 (0)
[3]: 12 <---- 2 (0)
coordinates with 1 fields
  field 0 with 2 components
Process 0:
  (   2) dof  2 offset   0 0.5 0.
  (   3) dof  2 offset   2 1. 0.
  (   4) dof  2 offset   4 0. 0.5
  (   5) dof  2 offset   6 0.5 0.5
  (   6) dof  2 offset   8 1. 0.5
  (   7) dof  2 offset  10 0. 1.
  (   8) dof  2 offset  12 0.5 1.
  (   9) dof  2 offset  14 0.5 0.25
  (  10) dof  2 offset  16 0.25 0.5
Process 1:
  (   2) dof  2 offset   0 0. 0.
  (   3) dof  2 offset   2 0.5 0.
  (   4) dof  2 offset   4 0. 0.5
  (   5) dof  2 offset   6 0.5 0.5
  (   6) dof  2 offset   8 1. 0.5
  (   7) dof  2 offset  10 0.5 1.
  (   8) dof  2 offset  12 1. 1.
  (   9) dof  2 offset  14 0.25 0.25
  (  10) dof  2 offset  16 0.25 0.
  (  11) dof  2 offset  18 0. 0.25
Process 2:
  (   2) dof  2 offset   0 0. 0.
  (   3) dof  2 offset   2 0.5 0.
  (   4) dof  2 offset   4 0. 0.5
  (   5) dof  2 offset   6 0.5 0.5
  (   6) dof  2 offset   8 0.25 0.25
  (   7) dof  2 offset  10 0.25 0.
  (   8) dof  2 offset  12 0.5 0.25
  (   9) dof  2 offset  14 0.25 0.5
Process 3:
  (   1) dof  2 offset   0 0. 0.
  (   2) dof  2 offset   2 0. 0.5
  (   3) dof  2 offset   4 0.5 0.5
  (   4) dof  2 offset   6 0.25 0.25
  (   5) dof  2 offset   8 0.25 0.5
  (   6) dof  2 offset  10 0. 0.25
Labels:
Label 'celltype':
[0]: 2 (0)
[0]: 3 (0)
[0]: 4 (0)
[0]: 5 (0)
[0]: 6 (0)
[0]: 7 (0)
[0]: 8 (0)
[0]: 9 (0)
[0]: 10 (0)
[0]: 11 (1)
[0]: 12 (1)
[0]: 13 (1)
[0]: 14 (1)
[0]: 15 (1)
[0]: 16 (1)
[0]: 17 (1)
[0]: 18 (1)
[0]: 19 (1)
[0]: 20 (1)
[0]: 21 (1)
[0]: 22 (1)
[0]: 0 (4)
[0]: 1 (4)
[1]: 2 (0)
[1]: 3 (0)
[1]: 4 (0)
[1]: 5 (0)
[1]: 6 (0)
[1]: 7 (0)
[1]: 8 (0)
[1]: 9 (0)
[1]: 10 (0)
[1]: 11 (0)
[1]: 12 (1)
[1]: 13 (1)
[1]: 14 (1)
[1]: 15 (1)
[1]: 16 (1)
[1]: 17 (1)
[1]: 18 (1)
[1]: 19 (1)
[1]: 20 (1)
[1]: 21 (1)
[1]: 0 (4)
[1]: 1 (4)
[2]: 2 (0)
[2]: 3 (0)
[2]: 4 (0)
[2]: 5 (0)
[2]: 6 (0)
[2]: 7 (0)
[2]: 8 (0)
[2]: 9 (0)
[2]: 10 (1)
[2]: 11 (1)
[2]: 12 (1)
[2]: 13 (1)
[2]: 14 (1)
[2]: 15 (1)
[2]: 16 (1)
[2]: 17 (1)
[2]: 18 (1)
[2]: 19 (1)
[2]: 0 (4)
[2]: 1 (4)
[3]: 1 (0)
[3]: 2 (0)
[3]: 3 (0)
[3]: 4 (0)
[3]: 5 (0)
[3]: 6 (0)
[3]: 7 (1)
[3]: 8 (1)
[3]: 9 (1)
[3]: 10 (1)
[3]: 11 (1)
[3]: 12 (1)
[3]: 0 (4)
PetscSF Object: 4 MPI processes
  type: basic
  [0] Number of roots=23, leaves=15, remote ranks=3
  [0] 2 <- (2,3)
  [0] 4 <- (3,2)
  [0] 5 <- (3,3)
  [0] 6 <- (1,6)
  [0] 8 <- (1,7)
  [0] 9 <- (2,8)
  [0] 10 <- (3,5)
  [0] 12 <- (3,7)
  [0] 13 <- (1,13)
  [0] 16 <- (2,12)
  [0] 17 <- (1,16)
  [0] 19 <- (2,17)
  [0] 20 <- (2,18)
  [0] 21 <- (3,11)
  [0] 22 <- (2,19)
  [1] Number of roots=22, leaves=11, remote ranks=2
  [1] 2 <- (3,1)
  [1] 3 <- (2,3)
  [1] 4 <- (3,2)
  [1] 5 <- (3,3)
  [1] 9 <- (3,4)
  [1] 10 <- (2,7)
  [1] 11 <- (3,6)
  [1] 12 <- (2,10)
  [1] 15 <- (3,8)
  [1] 18 <- (2,13)
  [1] 19 <- (3,10)
  [2] Number of roots=20, leaves=7, remote ranks=1
  [2] 2 <- (3,1)
  [2] 4 <- (3,2)
  [2] 5 <- (3,3)
  [2] 6 <- (3,4)
  [2] 9 <- (3,5)
  [2] 11 <- (3,7)
  [2] 15 <- (3,9)
  [3] Number of roots=13, leaves=0, remote ranks=0
  [0] Roots referenced by my leaves, by rank
  [0] 1: 4 edges
  [0]    6 <- 6
  [0]    8 <- 7
  [0]    13 <- 13
  [0]    17 <- 16
  [0] 2: 6 edges
  [0]    2 <- 3
  [0]    9 <- 8
  [0]    16 <- 12
  [0]    19 <- 17
  [0]    20 <- 18
  [0]    22 <- 19
  [0] 3: 5 edges
  [0]    4 <- 2
  [0]    5 <- 3
  [0]    10 <- 5
  [0]    12 <- 7
  [0]    21 <- 11
  [1] Roots referenced by my leaves, by rank
  [1] 2: 4 edges
  [1]    3 <- 3
  [1]    10 <- 7
  [1]    12 <- 10
  [1]    18 <- 13
  [1] 3: 7 edges
  [1]    2 <- 1
  [1]    4 <- 2
  [1]    5 <- 3
  [1]    9 <- 4
  [1]    11 <- 6
  [1]    15 <- 8
  [1]    19 <- 10
  [2] Roots referenced by my leaves, by rank
  [2] 3: 7 edges
  [2]    2 <- 1
  [2]    4 <- 2
  [2]    5 <- 3
  [2]    6 <- 4
  [2]    9 <- 5
  [2]    11 <- 7
  [2]    15 <- 9
  [3] Roots referenced by my leaves, by rank
  MultiSF sort=rank-order
Symmetric gradient null space: PASS
Mat Object: Reference Tree Injector 1 MPI process
  type: seqaij
row 0: (0, 0.)  (1, 0.)  (2, 0.)  (3, 0.)  (4, 5.55112e-17)  (5, 0.)  (6, 0.)  (7, 0.)  (8, 0.)  (9, 0.)  (10, 5.55112e-17)  (11, 0.)  (12, 5.55112e-17)  (13, 0.)  (14, 0.)  (15, 0.)  (20, 1.)  (21, 0.) 
row 1: (0, 0.)  (1, 0.)  (2, 0.)  (3, 0.)  (4, 0.)  (5, 5.55112e-17)  (6, 0.)  (7, 0.)  (8, 0.)  (9, 0.)  (10, 0.)  (11, 5.55112e-17)  (12, 0.)  (13, 5.55112e-17)  (14, 0.)  (15, 0.)  (20, 0.)  (21, 1.) 
row 2:
row 3:
row 4:
row 5:
row 6:
row 7:
row 8:
row 9:
row 10: (16, 0.)  (17, 0.)  (18, 0.)  (19, 0.)  (22, 1.)  (23, 0.) 
row 11: (16, 0.)  (17, 0.)  (18, 0.)  (19, 0.)  (22, 0.)  (23, 1.) 
row 12:
row 13:
row 14:
row 15:
row 16:
row 17:
row 18:
row 19:
row 20:
row 21:
row 22:
row 23:
row 24:
row 25:
row 26:
row 27:
row 28:
row 29:
row 30:
row 31:
row 32:
row 33:
row 34:
row 35:
row 36:
row 37:
row 38:
row 39:
row 40:
row 41:
row 42:
row 43:
row 44:
row 45:
row 46:
row 47:
row 48:
row 49:
row 50:
row 51:
row 52:
row 53:
row 54:
row 55:
row 56:
row 57:
row 58:
row 59:
Function tests pass for order 0 at tolerance 1e-10
Function tests pass for order 0 derivatives at tolerance 1e-10