Update fundamentals_code.ipynb (#309)

* Update fundamentals_code.ipynb

typos

* Update fundamental python file

---------

Co-authored-by: jorgensd <dokken92@gmail.com>

Author: mleoni-pf

chapter1/fundamentals_code.ipynb

@@ -107,8 +107,8 @@
    "id": "3",
    "metadata": {},
    "source": [
-    "Note that in addition to give how many elements we would like to have in each direction.\n",
-    "We also have to supply the _MPI-communicator_.\n",
+    "Note that in addition to give how many elements we would like to have in each direction,\n",
+    "we also have to supply the _MPI-communicator_.\n",
     "This is to specify how we would like the program to behave in parallel.\n",
     "If we supply {py:data}`MPI.COMM_WORLD<mpi4py.MPI.COMM_WORLD>` we create a single mesh,\n",
     "whose data is distributed over the number of processors we would like to use.\n",
@@ -296,7 +296,7 @@
     "However, if we would like to change this parameter later in the simulation,\n",
     "we would have to redefine our variational formulation.\n",
     "The {py:attr}`dolfinx.fem.Constant.value` allows us to update the value in $f$ by using `f.value=5`.\n",
-    "Additionally, by indicating that $f$ is a constant, we speed of compilation of the variational\n",
+    "Additionally, by indicating that $f$ is a constant, we speed up compilation of the variational\n",
     "formulations required for the created linear system.\n",
     "```\n",
     "\n",

chapter1/fundamentals_code.py

@@ -6,7 +6,7 @@
 #       extension: .py
 #       format_name: light
 #       format_version: '1.5'
-#       jupytext_version: 1.18.1
+#       jupytext_version: 1.19.1
 #   kernelspec:
 #     display_name: Python 3 (ipykernel)
 #     language: python
@@ -97,8 +97,8 @@
 domain = mesh.create_unit_square(MPI.COMM_WORLD, 8, 8, mesh.CellType.quadrilateral)
 # -
 
-# Note that in addition to give how many elements we would like to have in each direction.
-# We also have to supply the _MPI-communicator_.
+# Note that in addition to give how many elements we would like to have in each direction,
+# we also have to supply the _MPI-communicator_.
 # This is to specify how we would like the program to behave in parallel.
 # If we supply {py:data}`MPI.COMM_WORLD<mpi4py.MPI.COMM_WORLD>` we create a single mesh,
 # whose data is distributed over the number of processors we would like to use.
@@ -200,7 +200,7 @@
 # However, if we would like to change this parameter later in the simulation,
 # we would have to redefine our variational formulation.
 # The {py:attr}`dolfinx.fem.Constant.value` allows us to update the value in $f$ by using `f.value=5`.
-# Additionally, by indicating that $f$ is a constant, we speed of compilation of the variational
+# Additionally, by indicating that $f$ is a constant, we speed up compilation of the variational
 # formulations required for the created linear system.
 # ```
 #