print('# ------------ in the time-mesh circle ------------ #')
print('i = ', i)
print('# -------------------------------------------------- #')
# NN = int(1./h_space[i]) + 1
NN = 128
print(' In new looping, NN = ', NN)
mesh = MF.boxmesh2d(box, nx=NN, ny=NN, meshtype='tri')
if time_scheme == 1:
ch = FEM_CH_NS_Var_addXi_Model2d(pde, mesh, p, dt_space[i])
uh_l2err, uh_h1err, vel_l2err, vel_h1err, ph_l2err = ch.CH_NS_addXi_Solver_T1stOrder(
)
else:
raise ValueError("There has no other time-scheme")
Ndof[i] = ch.number_of_global_dofs()
errorMatrix[0, i] = uh_l2err
errorMatrix[1, i] = uh_h1err
errorMatrix[2, i] = vel_l2err
errorMatrix[3, i] = vel_h1err
errorMatrix[4, i] = ph_l2err
# --- get the convergence rate --- #
print('# ------------ the error-table ------------ #')
show_error_table(dt_space, errorType, errorMatrix, table_scheme='dt')
# # plot the rate
# showmultirate(plt, 0, Ndof, errorMatrix, errorType)
# plt.show()
print('# ------------ end of the file ------------ #')
)
print('# ------------ in the time-mesh circle ------------ #')
print('i = ', i)
print('# -------------------------------------------------- #')
NN = int(
(box[1] - box[0]) / h_space[i]) # TODO: NN = int(1./h_space[i]) ??
mesh = MF.boxmesh2d(box, nx=NN, ny=NN, meshtype='tri')
ch = FEM_CH_NS_VarCoeff_Model2d(pde, mesh, p, dt_space)
if time_scheme == 1:
uh_l2err, uh_h1err, vel_l2err, vel_h1err, ph_l2err = ch.CH_NS_Solver_T1stOrder(
)
else:
raise ValueError("There has no other time-scheme")
Ndof[i] = ch.number_of_global_dofs()
errorMatrix[0, i] = uh_l2err
errorMatrix[1, i] = uh_h1err
errorMatrix[2, i] = vel_l2err
errorMatrix[3, i] = vel_h1err
errorMatrix[4, i] = ph_l2err
# --- get the convergence rate --- #
print('# ------------ the error-table ------------ #')
show_error_table(Ndof, errorType, errorMatrix, table_scheme='h')
# # plot the rate
# showmultirate(plt, 0, Ndof, errorMatrix, errorType)
# plt.show()
print('# ------------ end of the file ------------ #')
# # error settings
# errorType = ['$|| u - u_h||_0$', '$||\\nabla u - \\nabla u_h||_0$', '|| p - p_h ||_0']
errorType = ['$|| u - u_h||_0$', '$||\\nabla u - \\nabla u_h||_0$']
errorMatrix = np.zeros((len(errorType), maxit), dtype=np.float)
Ndof = np.zeros(maxit, dtype=np.int) # the array to store the number of dofs
# --- start for-loop --- #
for i in range(maxit):
print('# ------------ in the space-mesh circle ------------ #')
print('i = ', i)
print('# -------------------------------------------------- #')
ch = FEMCahnHilliardModel2d(pde, mesh, p, dt)
l2err, h1err = ch.CH_Solver_T1stOrder()
# l2err, h1err = ch.CH_Solver_T2ndOrder()
Ndof[i] = ch.space.number_of_global_dofs() # get the number of dofs
errorMatrix[0, i] = l2err # get the velocity L2 error
errorMatrix[1, i] = h1err # get the velocity L2 error
if i < maxit - 1:
mesh.uniform_refine()
# --- get the convergence rate --- #
print('# ------------ the error-table ------------ #')
show_error_table(Ndof, errorType, errorMatrix)
# # plot the rate
# showmultirate(plt, 0, Ndof, errorMatrix, errorType)
# plt.show()
print('# ------------ end of the file ------------ #')
print('dt_space = ', dt_space)
print('domain box = ', box)
print('the initial-mesh subdivision = ', NN)
print('# #')
# # error settings
# errorType = ['$|| u - u_h||_0$', '$||\\nabla u - \\nabla u_h||_0$', '|| p - p_h ||_0']
errorType = ['$|| u - u_h||_0$', '$||\\nabla u - \\nabla u_h||_0$']
errorMatrix = np.zeros((len(errorType), maxit), dtype=np.float)
# --- start for-loop --- #
for i in range(N_T):
print('# ------------ in the time-mesh circle ------------ #')
print('i = ', i)
print('# -------------------------------------------------- #\n')
ch = FEMCahnHilliardModel2d(pde, mesh, p, dt_space[i])
l2err, h1err = ch.CH_Solver_T1stOrder()
# l2err, h1err = ch.CH_Solver_T2ndOrder()
errorMatrix[0, i] = l2err # get the velocity L2 error
errorMatrix[1, i] = h1err # get the velocity L2 error
# --- get the convergence rate --- #
print('# ------------ the error-table ------------ #')
show_error_table(dt_space, errorType, errorMatrix)
# # plot the rate
# showmultirate(plt, 0, Ndof, errorMatrix, errorType)
# plt.show()
print('# ------------ end of the file ------------ #')