diff --git a/.github/workflows/tests.yml b/.github/workflows/tests.yml
index 85cea69..6ed0adc 100644
--- a/.github/workflows/tests.yml
+++ b/.github/workflows/tests.yml
@@ -14,7 +14,7 @@ on:
 jobs:
   build-and-test:
     runs-on: ubuntu-latest
-    container: ghcr.io/fenics/dolfinx/dolfinx:nightly
+    container: ghcr.io/fenics/dolfinx/dolfinx:v0.10.0-r1
     steps:
       - name: Checkout
         uses: actions/checkout@v5
diff --git a/README.md b/README.md
index e9e32a9..0e1f330 100644
--- a/README.md
+++ b/README.md
@@ -12,7 +12,7 @@ numerical methods for solving a wide range of thin structural models (beams,
 plates and shells) expressed in the Unified Form Language (UFL) of the FEniCS
 Project.
 
-*FEniCSx-Shells is an experimental version targeting version v0.10.0.dev0 of the new
+*FEniCSx-Shells is an experimental version targeting version v0.10.0 of the new
 [DOLFINx solver](https://github.com/fenics/dolfinx).*
 
 The foundational aspects of the FEniCS-Shells project are described in the paper:
@@ -22,6 +22,20 @@ code generation tools, J. S. Hale, M. Brunetti, S. P. A. Bordas, C. Maurini.
 Computers & Structures, 209, 163-181,
 [doi:10.1016/j.compstruc.2018.08.001](https://doi.org/10.1016/j.compstruc.2018.08.001).
 
+## Installation
+
+See the [DOLFINx README -
+Installation](https://github.com/FEniCS/dolfinx/blob/main/README.md#installation) for
+instructions on installing DOLFINx with petsc4py support.
+
+Then:
+
+    pip install fenicsx-shells[demos]@git+https://github.com/FEniCS-Shells/fenicsx-shells.git
+
+At the current time, the `fenicsx-shells` module is empty, and the content of
+the 'library' is in the demos. This may change as we begin implementing e.g.
+custom assemblers.
+
 ## Documentation
 
 The documentation can be viewed [here](https://fenics-shells.github.io/fenicsx-shells).
@@ -33,8 +47,6 @@ FEniCSx-Shells currently includes implementations of the following structural mo
 * Reissner-Mindlin plates.
 * Kirchhoff-Love plates.
 
-A roadmap for future developments will be shared soon.
-
 We are using a variety of numerical techniques for discretising the PDEs
 including:
 
diff --git a/demo/demo_kirchhoff-love-clamped.py b/demo/demo_kirchhoff-love-clamped.py
index 37f3a25..0fa79aa 100644
--- a/demo/demo_kirchhoff-love-clamped.py
+++ b/demo/demo_kirchhoff-love-clamped.py
@@ -211,6 +211,7 @@ def all_boundary(x):
     L,
     bcs=bcs,
     petsc_options={"ksp_type": "preonly", "pc_type": "lu", "pc_factor_mat_solver_type": "mumps"},
+    petsc_options_prefix="problem_",
 )
 u_h = problem.solve()
 
diff --git a/demo/demo_nonlinear-naghdi-clamped-semicylinder.py b/demo/demo_nonlinear-naghdi-clamped-semicylinder.py
index 2adda06..3c151c6 100644
--- a/demo/demo_nonlinear-naghdi-clamped-semicylinder.py
+++ b/demo/demo_nonlinear-naghdi-clamped-semicylinder.py
@@ -28,6 +28,7 @@
 #
 # %%
 import typing
+import warnings
 from pathlib import Path
 
 # %%
@@ -45,11 +46,13 @@
 from dolfinx.fem import Expression, Function, dirichletbc, functionspace, locate_dofs_topological
 from dolfinx.fem.bcs import DirichletBC
 from dolfinx.fem.function import Function as _Function
-from dolfinx.fem.petsc import NonlinearProblem, apply_lifting, assemble_vector, set_bc
+from dolfinx.fem.petsc import NewtonSolverNonlinearProblem, apply_lifting, assemble_vector, set_bc
 from dolfinx.mesh import CellType, create_rectangle, locate_entities_boundary
 from dolfinx.nls.petsc import NewtonSolver
 from ufl import grad, inner, split
 
+warnings.simplefilter("default", DeprecationWarning)
+
 # %% [markdown]
 # We consider a semi-cylindrical shell of radius $r$ and axis length $L$. The
 # shell is made of a linear elastic isotropic homogeneous material with Young
@@ -545,9 +548,7 @@ def compute_cell_contributions(V, points):
     at that point"""
     # Determine what process owns a point and what cells it lies within
     mesh = V.mesh
-    point_ownership_data = dolfinx.cpp.geometry.determine_point_ownership(
-        mesh._cpp_object, points, 1e-6
-    )
+    point_ownership_data = dolfinx.geometry.determine_point_ownership(mesh, points, 1e-6)
 
     owning_points = np.asarray(point_ownership_data.dest_points).reshape(-1, 3)
     cells = point_ownership_data.dest_cells
@@ -589,7 +590,7 @@ def compute_cell_contributions(V, points):
 # We define a custom `NonlinearProblem` which is able to include the point
 # force.
 # %%
-class NonlinearProblemPointSource(NonlinearProblem):
+class NonlinearProblemPointSource(NewtonSolverNonlinearProblem):
     def __init__(
         self,
         F: ufl.form.Form,
diff --git a/demo/demo_reissner-mindlin-clamped-tdnns.py b/demo/demo_reissner-mindlin-clamped-tdnns.py
index 7e65a38..1705700 100644
--- a/demo/demo_reissner-mindlin-clamped-tdnns.py
+++ b/demo/demo_reissner-mindlin-clamped-tdnns.py
@@ -244,6 +244,7 @@ def all_boundary(x):
     L,
     bcs=bcs,
     petsc_options={"ksp_type": "preonly", "pc_type": "lu", "pc_factor_mat_solver_type": "mumps"},
+    petsc_options_prefix="problem_",
 )
 u_h = problem.solve()
 
diff --git a/demo/demo_reissner-mindlin-clamped.py b/demo/demo_reissner-mindlin-clamped.py
index 17ff6aa..5bfd199 100644
--- a/demo/demo_reissner-mindlin-clamped.py
+++ b/demo/demo_reissner-mindlin-clamped.py
@@ -222,6 +222,7 @@ def all_boundary(x):
     -F,
     bcs=bcs,
     petsc_options={"ksp_type": "preonly", "pc_type": "lu", "pc_factor_mat_solver_type": "mumps"},
+    petsc_options_prefix="problem_",
 )
 u_ = problem.solve()
 
diff --git a/demo/demo_reissner-mindlin-simply-supported.py b/demo/demo_reissner-mindlin-simply-supported.py
index 95749b4..52820ab 100644
--- a/demo/demo_reissner-mindlin-simply-supported.py
+++ b/demo/demo_reissner-mindlin-simply-supported.py
@@ -239,6 +239,7 @@ def make_bc(value, V, on_boundary):
     -F,
     bcs=bcs,
     petsc_options={"ksp_type": "preonly", "pc_type": "lu", "pc_factor_mat_solver_type": "mumps"},
+    petsc_options_prefix="problem_",
 )
 u_ = problem.solve()
 
diff --git a/launch-container.sh b/launch-container.sh
index 87960d9..c9101f3 100755
--- a/launch-container.sh
+++ b/launch-container.sh
@@ -1,3 +1,3 @@
 #!/bin/bash
 CONTAINER_ENGINE="podman"
-${CONTAINER_ENGINE} run -ti -v $(pwd):/shared -w /shared dolfinx/dolfinx:nightly
+${CONTAINER_ENGINE} run --rm -ti -v $(pwd):/shared -w /shared dolfinx/dolfinx:v0.10.0-r1
diff --git a/pyproject.toml b/pyproject.toml
index e80ef9c..aa0be84 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -13,8 +13,9 @@ authors = [
       { name = "Jack S. Hale", email = "mail@jackhale.co.uk" },
       { name = "Tian Yang" }
 ]
+# Get UFL, FFCx and Basix through transitive dependency on fenics-dolfinx.
 dependencies = [
-      "fenics-dolfinx>=0.10.0.dev0,<0.11.0",
+      "fenics-dolfinx>=0.10.0,<0.11.0",
 ]
 
 [project.optional-dependencies]