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Rename variable in hyperelasticity demo #261

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Aug 9, 2025
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Rename variable in hyperelasticity demo #261

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12 changes: 9 additions & 3 deletions chapter2/hyperelasticity.ipynb
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Original file line number Diff line number Diff line change
Expand Up @@ -323,7 +323,7 @@
"id": "28",
"metadata": {},
"source": [
"Define form F (we want to find u such that F(u) = 0)"
"Define the residual of the equation (we want to find u such that residual(u) = 0)"
]
},
{
Expand All @@ -333,7 +333,9 @@
"metadata": {},
"outputs": [],
"source": [
"F = ufl.inner(ufl.grad(v), P) * dx - ufl.inner(v, B) * dx - ufl.inner(v, T) * ds(2)"
"residual = (\n",
" ufl.inner(ufl.grad(v), P) * dx - ufl.inner(v, B) * dx - ufl.inner(v, T) * ds(2)\n",
")"
]
},
{
Expand Down Expand Up @@ -364,7 +366,11 @@
" \"pc_factor_mat_solver_type\": \"mumps\",\n",
"}\n",
"problem = NonlinearProblem(\n",
" F, u, bcs=bcs, petsc_options=petsc_options, petsc_options_prefix=\"hyperelasticity\"\n",
" residual,\n",
" u,\n",
" bcs=bcs,\n",
" petsc_options=petsc_options,\n",
" petsc_options_prefix=\"hyperelasticity\",\n",
")"
]
},
Expand Down
12 changes: 9 additions & 3 deletions chapter2/hyperelasticity.py
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Expand Up @@ -143,9 +143,11 @@ def right(x):
ds = ufl.Measure("ds", domain=domain, subdomain_data=facet_tag, metadata=metadata)
dx = ufl.Measure("dx", domain=domain, metadata=metadata)

# Define form F (we want to find u such that F(u) = 0)
# Define the residual of the equation (we want to find u such that residual(u) = 0)

F = ufl.inner(ufl.grad(v), P) * dx - ufl.inner(v, B) * dx - ufl.inner(v, T) * ds(2)
residual = (
ufl.inner(ufl.grad(v), P) * dx - ufl.inner(v, B) * dx - ufl.inner(v, T) * ds(2)
)

# As the varitional form is non-linear and written on residual form,
# we use the non-linear problem class from DOLFINx to set up required structures to use a Newton solver.
Expand All @@ -162,7 +164,11 @@ def right(x):
"pc_factor_mat_solver_type": "mumps",
}
problem = NonlinearProblem(
F, u, bcs=bcs, petsc_options=petsc_options, petsc_options_prefix="hyperelasticity"
residual,
u,
bcs=bcs,
petsc_options=petsc_options,
petsc_options_prefix="hyperelasticity",
)

# We create a function to plot the solution at each time step.
Expand Down