$Id: demo_laplacian_aposteriori.py 4429 2013-10-01 13:15:15Z renard $
"""
import numpy as np
# Import basic modules
import getfem as gf
## Parameters
h = 4. # Mesh parameter.
Dirichlet_with_multipliers = True # Dirichlet condition with multipliers
# or penalization
dirichlet_coefficient = 1e10 # Penalization coefficient
export_mesh = True # Draw the mesh after mesh generation or not
# Create a mesh
mo1 = gf.MesherObject('rectangle', [0., 50.], [100., 100.])
mo2 = gf.MesherObject('rectangle', [50., 0.], [100., 100.])
mo3 = gf.MesherObject('union', mo1, mo2)
mo4 = gf.MesherObject('ball', [25., 75], 8.)
mo5 = gf.MesherObject('ball', [75., 25.], 8.)
mo6 = gf.MesherObject('ball', [75., 75.], 8.)
mo7 = gf.MesherObject('union', mo4, mo5, mo6)
mo = gf.MesherObject('set minus', mo3, mo7)
gf.util('trace level', 2) # No trace for mesh generation
mesh = gf.Mesh('generate', mo, h, 3)
#
# Boundary selection
#
fb1 = mesh.outer_faces_with_direction([-1., 0.], 0.01) # Left (Dirichlet)
T0 = 20. # Reference temperature in oC.
rho_0 = 1.754E-8 # Resistance temperature coefficient at T0 = 20oC
alpha = 0.0039 # Second resistance temperature coefficient.
#
# Numerical parameters
#
h = 2. # Approximate mesh size
elements_degree = 2 # Degree of the finite element methods
export_mesh = True # Draw the mesh after mesh generation or not
solve_in_two_steps = True # Solve the elasticity problem separately or not
#
# Mesh generation. Meshes can also been imported from several formats.
#
mo1 = gf.MesherObject('rectangle', [0., 0.], [100., 25.])
mo2 = gf.MesherObject('ball', [25., 12.5], 8.)
mo3 = gf.MesherObject('ball', [50., 12.5], 8.)
mo4 = gf.MesherObject('ball', [75., 12.5], 8.)
mo5 = gf.MesherObject('union', mo2, mo3, mo4)
mo = gf.MesherObject('set minus', mo1, mo5)
print 'Mesh generation';
gf.util('trace level', 2) # No trace for mesh generation
mesh = gf.Mesh('generate', mo, h, 2)
#
# Boundary selection
#
fb1 = mesh.outer_faces_in_box([1., 1.], [99., 24.]) # Boundary of the holes
fb2 = mesh.outer_faces_with_direction([ 1., 0.], 0.01) # Right boundary
clambdastar = 2 * clambda * cmu / (clambda + 2 * cmu
) # Lame coefficient for Plane stress
applied_force = 1E7 # Force at the hole boundary (N)
#
# Numerical parameters
#
h = 1 # Approximate mesh size
elements_degree = 2 # Degree of the finite element methods
gamma0 = 1. / E
# Augmentation parameter for the augmented Lagrangian
#
# Mesh generation. Meshes can also been imported from several formats.
#
mo1 = gf.MesherObject('ball', [0., 15.], 15.)
mo2 = gf.MesherObject('ball', [0., 15.], 8.)
mo3 = gf.MesherObject('set minus', mo1, mo2)
print('Meshes generation')
mesh1 = gf.Mesh('generate', mo3, h, 2)
mesh2 = gf.Mesh(
'import', 'structured',
'GT="GT_PK(2,1)";SIZES=[30,10];NOISED=0;NSUBDIV=[%d,%d];' %
(int(30 / h) + 1, int(10 / h) + 1))
mesh2.translate([-15., -10.])
if (export_mesh):
mesh1.export_to_vtk('mesh1.vtk')
mesh2.export_to_vtk('mesh2.vtk')
print('\nYou can view the meshes for instance with')
""" 2D Poisson problem test in unit disk \Omega.
-\Delta u=1 in \Omega, u=0 on \delta\Omega
This program is used to check that python-getfem is working. This is
also a good example of use of GetFEM++.
$Id$
"""
# Import basic modules
import getfem as gf
## Parameters
h = 0.1 # approximate diameter of the elements.
# Create a unit disk mesh
mo = gf.MesherObject('ball', [1.0, 1.0], 1.0)
mesh = gf.Mesh('generate', mo, h, 2)
mesh.translate([-1.0, -1.0])
# Create a MeshFem for u and rhs fields of dimension 1 (i.e. a scalar field)
mfu = gf.MeshFem(mesh, 1)
mfrhs = gf.MeshFem(mesh, 1)
# assign the Classical Fem
elements_degree = 2
mfu.set_classical_fem(elements_degree)
mfrhs.set_classical_fem(elements_degree)
# Integration method used
mim = gf.MeshIm(mesh, pow(elements_degree, 2))
# Boundary selection