if meshtype == 6:
mesh = meshzoo.lshape_mesh(n=3)
else:
n = 20
for i in range(maxit):
if meshtype == 1:
mesh = meshzoo.regular(box, n=n)
elif meshtype == 2:
mesh = meshzoo.rice_mesh(box, n=n)
elif meshtype == 3:
mesh = meshzoo.cross_mesh(box, n=n)
elif meshtype == 4:
mesh = meshzoo.fishbone(box, n=n)
elif meshtype == 5:
mesh = load_mat_mesh('../data/square' + str(i + 2) + '.mat')
elif meshtype == 6:
mesh.uniform_refine()
if meshtype != 6:
n *= 2
fem = BiharmonicRecoveryFEMModel(mesh, pde, 1, 5, rtype=rtype)
fem.solve(4)
Ndof[i] = fem.space.number_of_global_dofs()
e0, e1, e2, e3, e4 = fem.get_error()
eta0 = fem.grad_recover_estimate()
eta1 = fem.laplace_recover_estimate(etype=1)
e5 = np.sqrt(np.sum(eta0**2))
degree = 1
Ndof = np.zeros((maxit, ), dtype=np.int)
errorType = [
'$\| u - u_h\|$', '$\|\\nabla u - \\nabla u_h\|$',
'$\|\\nabla u_h - G(\\nabla u_h) \|$', '$\|\\nabla u - G(\\nabla u_h)\|$',
'$\|\Delta u - \\nabla\cdot G(\\nabla u_h)\|$',
'$\|\Delta u - G(\\nabla\cdot G(\\nabla u_h))\|$',
'$\|G(\\nabla\cdot G(\\nabla u_h)) - \\nabla\cdot G(\\nabla u_h)\|$'
]
errorMatrix = np.zeros((len(errorType), maxit), dtype=np.float)
h0 = 0.025
if (meshtype == 3):
mesh = load_mat_mesh('../data/square' + str(1) + '.mat')
for i in range(maxit):
if meshtype == 1: # uniform mesh
n = 20 * 2**i
mesh = rectangledomainmesh(box, nx=n, ny=n)
elif meshtype == 2: # CVT mesh
mesh = load_mat_mesh('../data/square' + str(i + 2) + '.mat')
elif meshtype == 3: # Delaunay uniform refine mesh
mesh.uniform_refine()
elif meshtype == 4: # Delaunay mesh
mesh = triangle(box, h0 / 2**i)
elif meshtype == 5:
mesh = load_mat_mesh('../data/sqaureperturb' + str(i + 2) + '.' +
str(0.5) + '.mat')