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@@ -4,7 +4,7 @@ build-backend = "setuptools.build_meta" | |
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[project] | ||
name = "fenics-ufl" | ||
version = "2024.1.0.post1" | ||
version = "2024.2.0.dev0" | ||
authors = [{ name = "UFL contributors" }] | ||
maintainers = [ | ||
{ email = "[email protected]" }, | ||
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import pytest | ||
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import ufl | ||
import ufl.algorithms | ||
from ufl.finiteelement import FiniteElement, MixedElement | ||
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def epsilon(u): | ||
return ufl.sym(ufl.grad(u)) | ||
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def sigma(u, p): | ||
return epsilon(u) - p * ufl.Identity(u.ufl_shape[0]) | ||
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@pytest.mark.parametrize("rank", [0, 1, 2]) | ||
def test_extract_blocks(rank): | ||
"""Test extractions of blocks from mixed function space.""" | ||
cell = ufl.triangle | ||
domain = ufl.Mesh(FiniteElement("Lagrange", cell, 1, (2,), ufl.identity_pullback, ufl.H1)) | ||
fe_scalar = FiniteElement("Lagrange", cell, 1, (), ufl.identity_pullback, ufl.H1) | ||
fe_vector = FiniteElement("Lagrange", cell, 1, (2,), ufl.identity_pullback, ufl.H1) | ||
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me = MixedElement([fe_vector, fe_scalar]) | ||
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# # Function spaces | ||
W = ufl.FunctionSpace(domain, me) | ||
V = ufl.FunctionSpace(domain, fe_vector) | ||
Q = ufl.FunctionSpace(domain, fe_scalar) | ||
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if rank == 0: | ||
wh = ufl.Coefficient(W) | ||
uh, ph = ufl.split(wh) | ||
# Test that functionals return the identity | ||
J = ufl.inner(sigma(uh, ph), sigma(uh, ph)) * ufl.dx | ||
J0 = ufl.extract_blocks(J, 0) | ||
assert len(J0) == 1 | ||
assert J == J0[0] | ||
elif rank == 1: | ||
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def rhs(uh, ph, v, q): | ||
F_0 = ufl.inner(sigma(uh, ph), epsilon(v)) * ufl.dx(domain=domain) | ||
F_1 = ufl.div(uh) * q * ufl.dx | ||
return F_0, F_1 | ||
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wh = ufl.Coefficient(W) | ||
uh, ph = ufl.split(wh) | ||
v, q = ufl.TestFunctions(W) | ||
F = sum(rhs(uh, ph, v, q)) | ||
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v_ = ufl.TestFunction(V) | ||
q_ = ufl.TestFunction(Q) | ||
F_sub = rhs(uh, ph, ufl.as_vector([vi for vi in v_]), q_) | ||
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F_0_ext = ufl.extract_blocks(F, 0) | ||
assert F_sub[0].signature() == F_0_ext.signature() | ||
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F_1_ext = ufl.extract_blocks(F, 1) | ||
assert F_sub[1].signature() == F_1_ext.signature() | ||
elif rank == 2: | ||
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def lhs(u, p, v, q): | ||
J_00 = ufl.inner(u, v) * ufl.dx(domain=domain) | ||
J_01 = ufl.div(v) * p * ufl.dx | ||
J_10 = q * ufl.div(u) * ufl.dx | ||
J_11 = ufl.inner(ufl.grad(p), ufl.grad(q)) * ufl.dx | ||
return J_00, J_01, J_10, J_11 | ||
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v_ = ufl.TestFunction(V) | ||
q_ = ufl.TestFunction(Q) | ||
u_ = ufl.TrialFunction(V) | ||
p_ = ufl.TrialFunction(Q) | ||
J_sub = lhs(ufl.as_vector([ui for ui in u_]), p_, ufl.as_vector([vi for vi in v_]), q_) | ||
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v, q = ufl.TestFunctions(W) | ||
uh, ph = ufl.TrialFunctions(W) | ||
J = sum(lhs(uh, ph, v, q)) | ||
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for i in range(2): | ||
for j in range(2): | ||
J_ij_ext = ufl.extract_blocks(J, i, j) | ||
assert J_sub[2 * i + j].signature() == J_ij_ext.signature() | ||
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def test_postive_restricted_extract_none(): | ||
cell = ufl.triangle | ||
d = cell.topological_dimension() | ||
domain = ufl.Mesh(FiniteElement("Lagrange", cell, 1, (d,), ufl.identity_pullback, ufl.H1)) | ||
el_u = FiniteElement("Lagrange", cell, 2, (d,), ufl.identity_pullback, ufl.H1) | ||
el_p = FiniteElement("Lagrange", cell, 1, (), ufl.identity_pullback, ufl.H1) | ||
V = ufl.FunctionSpace(domain, el_u) | ||
Q = ufl.FunctionSpace(domain, el_p) | ||
W = ufl.MixedFunctionSpace(V, Q) | ||
u, p = ufl.TrialFunctions(W) | ||
v, q = ufl.TestFunctions(W) | ||
a = ( | ||
ufl.inner(ufl.grad(u), ufl.grad(v)) * ufl.dx | ||
+ ufl.div(u) * q * ufl.dx | ||
+ ufl.div(v) * p * ufl.dx | ||
) | ||
a += ufl.inner(u("+"), v("+")) * ufl.dS | ||
a_blocks = ufl.extract_blocks(a) | ||
assert a_blocks[1][1] is None |
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