# Available numerical parameters
# Case sensitive keys

homogenization:
  mechanical:
    RGC:
      eps_abs_P:           1.0e+4       # absolute tolerance of RGC residuum (in Pa)
      eps_rel_P:           1.0e-3       # relative ...
      eps_abs_max:         1.0e+10      # absolute upper-limit of RGC residuum (in Pa)
      eps_rel_max:         1.0e+2       # relative ...
      Delta_a:             1.0e-7       # perturbation for computing penalty tangent
      relevant_mismatch:   1.0e-5       # minimum threshold of mismatch
      viscosity_exponent:  1.0e+0       # power (sensitivity rate) of numerical viscosity in RGC scheme
      viscosity_modulus:   0.0e+0       # stress modulus of RGC numerical viscosity (zero = without numerical viscosity)
                                        # suggestion: larger than the aTol_RGC but still far below the expected flow stress of material
      dot_a_ref:           1.0e-3       # reference rate of relaxation (about the same magnitude as straining rate, possibly a bit higher)
      dot_a_max:           1.0e+0       # threshold of maximum relaxation vector increment (if exceed this then cutback)
      Delta_V_max:         1.0e-5       # maximum allowable relative volume discrepancy
      Delta_V_modulus:     1.0e+12
      Delta_V_exponent:    5.0

solver:
  grid:
    N_staggered_iter_max: 10           # max number of field level staggered iterations
    N_cutback_max:        3            # maximum cut back level (0: 1, 1: 0.5, 2: 0.25, etc)

    damage:
      N_iter_max: 100      # maximum iteration number
      eps_abs_phi: 1.0e-2  # absolute tolerance for damage evolution
      eps_rel_phi: 1.0e-6  # relative tolerance for damage evolution
    thermal:
      N_iter_max: 100      # maximum iteration number
      eps_abs_T: 1.0e-2    # absolute tolerance for thermal equilibrium
      eps_rel_T: 1.0e-6    # relative tolerance for thermal equilibrium

    mechanical:
      eps_abs_div(P): 1.0e-4 # absolute tolerance for fulfillment of stress equilibrium
      eps_rel_div(P): 5.0e-4 # relative tolerance for fulfillment of stress equilibrium
      eps_abs_P: 1.0e3       # absolute tolerance for fulfillment of stress BC
      eps_rel_P: 1.0e-3      # relative tolerance for fulfillment of stress BC
      N_iter_min: 1          # minimum iteration number
      N_iter_max: 100        # maximum iteration number
      update_gamma: false    # Update Gamma-operator with current dPdF (not possible if memory_efficient=1)

    FFT:
      memory_efficient: True           # Precalculate Gamma-operator (81 double per point)
      divergence_correction: size+grid # Use size-independent divergence criterion
      derivative:  continuous          # Approximation used for derivatives in Fourier space
      FFTW_plan_mode: FFTW_MEASURE # planing-rigor flag, see manual on www.fftw.org
      FFTW_timelimit: -1.0         # timelimit of plan creation for FFTW, see manual on www.fftw.org. -1.0: disable timelimit
      PETSc_options:   -snes_type ngmres -snes_ngmres_anderson # PETSc solver options
      alpha: 1.0 # polarization scheme parameter 0.0 < alpha < 2.0. alpha = 1.0 ==> AL scheme, alpha = 2.0 ==> accelerated scheme
      beta: 1.0 # polarization scheme parameter 0.0 < beta < 2.0. beta = 1.0 ==> AL scheme, beta = 2.0 ==> accelerated scheme
      eps_abs_curl(F): 1.0e-10 # absolute tolerance for fulfillment of strain compatibility
      eps_rel_curl(F): 5.0e-4  # relative tolerance for fulfillment of strain compatibility

  mesh:
    N_cutback_max:        3            # maximum cut back level (0: 1, 1: 0.5, 2: 0.25, etc)
    N_staggered_iter_max: 10           # max number of field level staggered iterations
    p_s:                  2            # order of displacement shape functions (when mesh is defined)
    bbarstabilisation:    false
    p_i:                  2            # order of quadrature rule required (when mesh is defined)
    N_iter_max:           250          # Maximum iteration number
    eps_abs_div(P):       1.0e-10      # absolute tolerance for mechanical equilibrium
    eps_rel_div(P):       1.0e-4       # relative tolerance for mechanical equilibrium

phase:
  mechanical:
    r_cutback_min:             1.0e-3       # minimum (relative) size of step allowed during cutback in phase state calculation
    r_cutback:                 0.25         # factor to decrease size of step when cutback introduced in phase state calculation (value between 0 and 1)
    r_increase:                1.5          # factor to increase size of next step when previous step converged in phase state calculation
    eps_rel_state:             1.0e-6       # relative tolerance in phase state loop (abs tol provided by constitutive law)
    N_iter_state_max:          10           # state loop limit

    plastic:
      r_linesearch_Lp:         0.5          # factor to decrease the step due to non-convergence in Lp calculation
      eps_rel_Lp:              1.0e-6       # relative tolerance in Lp residuum
      eps_abs_Lp:              1.0e-8       # absolute tolerance in Lp residuum
      N_iter_Lp_max:           40           # stress loop limit for Lp
      f_update_jacobi_Lp:      1            # frequency of Jacobian update of residuum in Lp
      integrator_state:        FPI          # integration method (FPI = Fixed Point Iteration, Euler = Euler, AdaptiveEuler = Adaptive Euler, RK4 = classical 4th order Runge-Kutta, RKCK45 = 5th order Runge-Kutta Cash-Karp)
    eigen:
      r_linesearch_Li:         0.5          # factor to decrease the step due to non-convergence in Li calculation
      eps_rel_Li:              1.0e-6       # relative tolerance in Li residuum
      eps_abs_Li:              1.0e-8       # absolute tolerance in Li residuum
      N_iter_Li_max:           40           # stress loop limit for Li
      f_update_jacobi_Li:      1            # frequency of Jacobian update of residuum in Li

commercialFEM:
  unitlength:                  1            # physical length of one computational length unit

generic:
  random_seed:                 0            # fixed seeding for pseudo-random number generator, Default 0: use random seed.
  phi_min:                     1.0e-6       # non-zero residual damage.