def test_tensorize_2d_1_mapping():
DIM = 2
M = Mapping('Map', DIM)
domain = Domain('Omega', dim=DIM)
B1 = Boundary(r'\Gamma_1', domain)
x, y = domain.coordinates
kappa = Constant('kappa', is_real=True)
mu = Constant('mu', is_real=True)
V = ScalarFunctionSpace('V', domain)
u, v = elements_of(V, names='u, v')
int_0 = lambda expr: integral(domain, expr)
# ...
# a = BilinearForm((u,v), u*v)
# a = BilinearForm((u,v), mu*u*v + dot(grad(u),grad(v)))
a = BilinearForm((u, v), int_0(dot(grad(u), grad(v))))
# a = BilinearForm((u,v), dx(u)*v)
# a = BilinearForm((u,v), laplace(u)*laplace(v))
expr = TensorExpr(a, mapping=M)
print(expr)
def test_tensorize_2d_2():
domain = Domain('Omega', dim=2)
V = VectorFunctionSpace('V', domain)
u, v = elements_of(V, names='u, v')
int_0 = lambda expr: integral(domain , expr)
# ...
# a = BilinearForm((u,v), dot(u,v))
a = BilinearForm((u,v), int_0(curl(u)*curl(v) + div(u)*div(v)))
expr = TensorExpr(a, domain=domain)
print(expr)
def test_tensorize_2d_3():
domain = Domain('Omega', dim=2)
V = ScalarFunctionSpace('V', domain)
u, v = elements_of(V, names='u,v')
bx = Constant('bx')
by = Constant('by')
b = Tuple(bx, by)
expr = integral(domain, dot(b, grad(v)) * dot(b, grad(u)))
a = BilinearForm((u, v), expr)
print(TensorExpr(a))
print('')
def test_tensorize_2d_2_mapping():
DIM = 2
M = Mapping('M', DIM)
domain = Domain('Omega', dim=DIM)
V = VectorFunctionSpace('V', domain)
u, v = elements_of(V, names='u, v')
c = Constant('c')
int_0 = lambda expr: integral(domain, expr)
a = BilinearForm((u, v), int_0(c * div(v) * div(u) + curl(v) * curl(u)))
expr = TensorExpr(a, mapping=M)
print(expr)
def test_tensorize_2d_2():
domain = Domain('Omega', dim=2)
B1 = Boundary(r'\Gamma_1', domain)
x, y = domain.coordinates
kappa = Constant('kappa', is_real=True)
mu = Constant('mu', is_real=True)
V = VectorFunctionSpace('V', domain)
u, v = elements_of(V, names='u, v')
int_0 = lambda expr: integral(domain, expr)
# ...
# a = BilinearForm((u,v), dot(u,v))
a = BilinearForm((u, v), int_0(curl(u) * curl(v) + div(u) * div(v)))
expr = TensorExpr(a)
print(expr)
def test_tensorize_2d_1():
domain = Domain('Omega', dim=2)
mu = Constant('mu' , is_real=True)
V = ScalarFunctionSpace('V', domain)
u, v = elements_of(V, names='u, v')
int_0 = lambda expr: integral(domain , expr)
# ...
# a = BilinearForm((u,v), u*v)
a = BilinearForm((u,v), int_0(mu*u*v + dot(grad(u),grad(v))))
# a = BilinearForm((u,v), dot(grad(u),grad(v)))
# a = BilinearForm((u,v), dx(u)*v)
# a = BilinearForm((u,v), laplace(u)*laplace(v))
expr = TensorExpr(a, domain=domain)
print(expr)