diff --git a/goalie/adjoint.py b/goalie/adjoint.py
index 9ba7d6d..c788412 100644
--- a/goalie/adjoint.py
+++ b/goalie/adjoint.py
@@ -1,6 +1,7 @@
 """
 Drivers for solving adjoint problems on sequences of meshes.
 """
+
 import firedrake
 from firedrake.petsc import PETSc
 from firedrake.adjoint import pyadjoint
@@ -382,8 +383,8 @@ def wrapped_solver(subinterval, ic, **kwargs):
                                 )
                         elif j * stride + 1 == num_solve_blocks:
                             if i + 1 < num_subintervals:
-                                sols.adjoint_next[i][j].project(
-                                    sols.adjoint_next[i + 1][0]
+                                project(
+                                    sols.adjoint_next[i + 1][0], sols.adjoint_next[i][j]
                                 )
                         else:
                             raise IndexError(
diff --git a/goalie/go_mesh_seq.py b/goalie/go_mesh_seq.py
index ee3a4fa..c33245c 100644
--- a/goalie/go_mesh_seq.py
+++ b/goalie/go_mesh_seq.py
@@ -1,6 +1,7 @@
 """
 Drivers for goal-oriented error estimation on sequences of meshes.
 """
+
 from .adjoint import AdjointMeshSeq
 from .error_estimation import get_dwr_indicator
 from .log import pyrint
@@ -61,7 +62,9 @@ def get_enriched_mesh_seq(
             get_qoi=self._get_qoi,
             get_bcs=self._get_bcs,
             qoi_type=self.qoi_type,
+            parameters=self.params,
         )
+        mesh_seq_e.update_function_spaces()
 
         # Apply p-refinement
         if enrichment_method == "p":
@@ -312,7 +315,9 @@ def fixed_point_iteration(
                 break
 
             # Adapt meshes and log element counts
-            continue_unconditionally = adaptor(self, self.solutions, self.indicators, **adaptor_kwargs)
+            continue_unconditionally = adaptor(
+                self, self.solutions, self.indicators, **adaptor_kwargs
+            )
             if self.params.drop_out_converged:
                 self.check_convergence[:] = np.logical_not(
                     np.logical_or(continue_unconditionally, self.converged)
diff --git a/goalie/mesh_seq.py b/goalie/mesh_seq.py
index a2d623c..59c4fbb 100644
--- a/goalie/mesh_seq.py
+++ b/goalie/mesh_seq.py
@@ -1,6 +1,7 @@
 """
 Sequences of meshes corresponding to a :class:`~.TimePartition`.
 """
+
 import firedrake
 from firedrake.adjoint import pyadjoint
 from firedrake.adjoint_utils.solving import get_solve_blocks
@@ -235,8 +236,10 @@ def _function_spaces_consistent(self) -> bool:
             )
         return consistent
 
-    @property
-    def function_spaces(self) -> list:
+    def update_function_spaces(self) -> list:
+        """
+        Update the function space dictionary associated with the :class:`MeshSeq`.
+        """
         if self._fs is None or not self._function_spaces_consistent:
             self._fs = [self.get_function_spaces(mesh) for mesh in self.meshes]
             self._fs = AttrDict(
@@ -250,6 +253,10 @@ def function_spaces(self) -> list:
         ), "Meshes and function spaces are inconsistent"
         return self._fs
 
+    @property
+    def function_spaces(self):
+        return self.update_function_spaces()
+
     @property
     def initial_condition(self) -> AttrDict:
         ic = OrderedDict(self.get_initial_condition())
@@ -653,7 +660,11 @@ def check_element_count_convergence(self):
 
     @PETSc.Log.EventDecorator()
     def fixed_point_iteration(
-        self, adaptor: Callable, solver_kwargs: dict = {}, adaptor_kwargs: dict = {}, **kwargs
+        self,
+        adaptor: Callable,
+        solver_kwargs: dict = {},
+        adaptor_kwargs: dict = {},
+        **kwargs,
     ):
         r"""
         Apply goal-oriented mesh adaptation using a fixed point iteration loop.