
---- Minimum Surface Area With Plate Problem -----
mx:8, my:12, bmx:4, bmy:10, height:0.1
iter =   0, Function value 1.58854, Residual: 0.311154
iter =   1, Function value 1.49721, Residual: 0.0993624
iter =   2, Function value 1.49406, Residual: 0.000580218
iter =   3, Function value 1.49406, Residual: < 1.0e-6
Tao Object: 3 MPI processes
  type: tron
  Total PG its: 9,  PG tolerance: 0.001
  TaoLineSearch Object: 3 MPI processes
    type: more-thuente
    maximum function evaluations=30
    tolerances: ftol=0.0001, rtol=1e-10, gtol=0.9
    total number of function evaluations=0
    total number of gradient evaluations=0
    total number of function/gradient evaluations=1
    using variable bounds
    Termination reason: SUCCESS
  KSP Object: 3 MPI processes
    type: stcg
    maximum iterations=10000, initial guess is zero
    tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
    left preconditioning
    using UNPRECONDITIONED norm type for convergence test
  PC Object: 3 MPI processes
    type: bjacobi
      number of blocks = 3
      Local solver information for first block is in the following KSP and PC objects on rank 0:
      Use -ksp_view ::ascii_info_detail to display information for all blocks
      KSP Object: (sub_) 1 MPI process
        type: preonly
        maximum iterations=10000, initial guess is zero
        tolerances: relative=1e-05, absolute=1e-50, divergence=10000.
        left preconditioning
        not checking for convergence
      PC Object: (sub_) 1 MPI process
        type: ilu
          out-of-place factorization
          0 levels of fill
          tolerance for zero pivot 2.22045e-14
          matrix ordering: natural
          factor fill ratio given 1., needed 1.
            Factored matrix:
              Mat Object: (sub_) 1 MPI process
                type: seqaij
                rows=32, cols=32
                package used to perform factorization: petsc
                total: nonzeros=220, allocated nonzeros=220
                  not using I-node routines
        linear system matrix, which is also used to construct the preconditioner:
        Mat Object: (sub_) 1 MPI process
          type: seqaij
          rows=32, cols=32
          total: nonzeros=220, allocated nonzeros=220
          total number of mallocs used during MatSetValues calls=0
            not using I-node routines
    linear system matrix, which is also used to construct the preconditioner:
    Mat Object: 3 MPI processes
      type: mpiaij
      rows=96, cols=96
      total: nonzeros=748, allocated nonzeros=748
      total number of mallocs used during MatSetValues calls=0
  total KSP iterations: 40
  Active Set subset type: mask
  convergence tolerances: gatol=1e-05,   grtol=1e-08,   steptol=0.,   gttol=0.
  Residual in Function/Gradient:=4.11637e-08
  Objective value=1.49406
  total number of iterations=3,                          (max: 50)
  total number of function/gradient evaluations=15,      (max: unlimited)
  total number of Hessian evaluations=3
  Solution converged:    ||g(X)|| <= gatol
