// Instead of the procedural programming of previous examples, we encapsulate
// everything into a class for this program. The class consists of functions
-// which each perform certain aspects of a finite element program, a `main'
+// which each perform certain aspects of a finite element program, a `main`
// function which controls what is done first and what is done next, and a
// list of member variables.
// The public part of the class is rather short: it has a constructor and a
-// function `run' that is called from the outside and acts as something like
-// the `main' function: it coordinates which operations of this class shall be
+// function `run` that is called from the outside and acts as something like
+// the `main` function: it coordinates which operations of this class shall be
// run in which order. Everything else in the class, i.e. all the functions
// that actually do anything, are in the private section of the class:
class Step3