def test_example_03():
set_verbose(False)
mesh = Mesh()
mesh.load(domain_mesh)
mesh.refine_element(0)
shapeset = H1Shapeset()
pss = PrecalcShapeset(shapeset)
# create an H1 space
space = H1Space(mesh, shapeset)
space.set_uniform_order(5)
from hermes2d.examples.c03 import set_bc
set_bc(space)
space.assign_dofs()
# initialize the discrete problem
wf = WeakForm(1)
set_forms(wf)
solver = DummySolver()
sys = LinSystem(wf, solver)
sys.set_spaces(space)
sys.set_pss(pss)
# assemble the stiffness matrix and solve the system
sln = Solution()
sys.assemble()
sys.solve_system(sln)
assert abs(sln.l2_norm() - 0.25493) < 1e-4
assert abs(sln.h1_norm() - 0.89534) < 1e-4
def test_example_04():
from hermes2d.examples.c04 import set_bc
set_verbose(False)
mesh = Mesh()
mesh.load(domain_mesh)
# mesh.refine_element(0)
# mesh.refine_all_elements()
mesh.refine_towards_boundary(5, 3)
shapeset = H1Shapeset()
pss = PrecalcShapeset(shapeset)
# create an H1 space
space = H1Space(mesh, shapeset)
space.set_uniform_order(5)
set_bc(space)
space.assign_dofs()
xprev = Solution()
yprev = Solution()
# initialize the discrete problem
wf = WeakForm()
set_forms(wf, -4)
solver = DummySolver()
sys = LinSystem(wf, solver)
sys.set_spaces(space)
sys.set_pss(pss)
# assemble the stiffness matrix and solve the system
sys.assemble()
sln = Solution()
sys.solve_system(sln)
assert abs(sln.l2_norm() - 1.22729) < 1e-4
assert abs(sln.h1_norm() - 2.90006) < 1e-4
def test_example_05():
from hermes2d.examples.c05 import set_bc
from hermes2d.examples.c05 import set_forms as set_forms_surf
set_verbose(False)
mesh = Mesh()
mesh.load(domain_mesh)
mesh.refine_towards_vertex(3, 12)
shapeset = H1Shapeset()
pss = PrecalcShapeset(shapeset)
# create an H1 space
space = H1Space(mesh, shapeset)
space.set_uniform_order(4)
set_bc(space)
space.assign_dofs()
xprev = Solution()
yprev = Solution()
# initialize the discrete problem
wf = WeakForm(1)
set_forms(wf, -1)
set_forms_surf(wf)
sln = Solution()
solver = DummySolver()
sys = LinSystem(wf, solver)
sys.set_spaces(space)
sys.set_pss(pss)
sys.assemble()
sys.solve_system(sln)
assert abs(sln.l2_norm() - 0.535833) < 1e-4
assert abs(sln.h1_norm() - 1.332908) < 1e-4
