src/dolfinx_extras.py

changeset 1
a4137aedcb3a
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0:7ec1cfe19a24 1:a4137aedcb3a
1 # import weakref
2
3 import numpy as np
4 import ufl
5 from dolfinx import fem
6 from dolfinx.fem.function import Function, FunctionSpace
7
8 # _mass_matrices = weakref.WeakKeyDictionary()
9 _mass_matrices = {}
10
11
12 def get_mass_matrix(space: FunctionSpace):
13 # idex = space # Does not work due to fenicx being garbage
14 idx = id(space) # FIXME: This leaks memory 🤯
15 if idx not in _mass_matrices:
16 u = ufl.TrialFunction(space)
17 v = ufl.TestFunction(space)
18 a = fem.form(ufl.inner(u, v) * ufl.dx)
19 m = fem.petsc.assemble_matrix(a)
20 m.assemble()
21 _mass_matrices[idx] = m
22 return _mass_matrices[idx]
23
24
25 def dot(f: Function, g: Function):
26 if g.function_space != f.function_space:
27 raise ValueError("Function spaces need to agree")
28 m = get_mass_matrix(f.function_space)
29 f_vec = f.x.petsc_vec
30 g_vec = g.x.petsc_vec
31 return g_vec.dot(m @ f_vec)
32
33
34 def norm2_squared(f: Function):
35 return dot(f, f)
36
37
38 def norm2(f: Function):
39 return norm2_squared(f).sqrt()
40
41
42 def dist2_squared(f: Function, g: Function):
43 if g.function_space != f.function_space:
44 raise ValueError("Function spaces need to agree")
45 m = get_mass_matrix(f.function_space)
46 f_vec = f.x.petsc_vec
47 g_vec = g.x.petsc_vec
48 mf = m @ f_vec
49 mg = m @ g_vec
50 return f_vec.dot(mf) + 2 * g_vec.dot(mg) + g_vec.dot(mf)
51
52
53 def dist2(f: Function, g: Function):
54 return np.sqrt(dist2_squared(f, g))

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