Micro changes.

git-svn-id: https://svn.dealii.org/trunk@18648 0785d39b-7218-0410-832d-ea1e28bc413d

diff --git a/deal.II/examples/step-34/step-34.cc b/deal.II/examples/step-34/step-34.cc
index aa2143ca2f58d04b0090f0a6354f372981bcd860..071ed9b29bc1c59e211f4e30b38830b43c896006 100644 (file)
--- a/deal.II/examples/step-34/step-34.cc
+++ b/deal.II/examples/step-34/step-34.cc
@@ -961,7 +961,6 @@ void BEMProblem<dim>::assemble_system()
                                             // functions against a
                                             // singular weight on the
                                             // reference cell.
-                                            //
                                             // Notice that singular
                                             // integration requires a
                                             // careful selection of
@@ -988,11 +987,17 @@ void BEMProblem<dim>::assemble_system()
                                             // possible to write
                                             //
                                             // \f[
-                                            //   \int_K f(x) s(x) dx = \Sum_{i=1}^N w_i f(q_i)
+                                            //   \int_K f(x) s(x) dx = \sum_{i=1}^N w_i f(q_i)
                                             // \f]
                                             //
-                                            // where $s(x)$ is a
-                                            // given singularity.
+                                            // where $s(x)$ is a given
+                                            // singularity, and the weights
+                                            // and quadrature points
+                                            // $w_i,q_i$ are carefully
+                                            // selected to make the formula
+                                            // above an equality for a
+                                            // certain class of functions
+                                            // $f(x)$.
                                             //
                                             // In all the finite
                                             // element examples we
@@ -1002,7 +1007,6 @@ void BEMProblem<dim>::assemble_system()
                                             // (namely, the function
                                             // $s(x)$), was always
                                             // constantly equal to 1.
-                                            //
                                             // For singular
                                             // integration, we have
                                             // two choices: we can
@@ -1021,7 +1025,7 @@ void BEMProblem<dim>::assemble_system()
                                             //
                                             // \f[
                                             //   \int_K f(x) s(x) dx =
-                                            //   \int_K g(x) dx = \Sum_{i=1}^N \frac{w_i}{s(q_i)} g(q_i)
+                                            //   \int_K g(x) dx = \sum_{i=1}^N \frac{w_i}{s(q_i)} g(q_i)
                                             // \f]
                                             //
                                             // We use this second
@@ -1085,12 +1089,12 @@ void BEMProblem<dim>::assemble_system()
                                             // linearly with the
                                             // determinant of the
                                             // transformation. This
-                                            // allows us to built the
+                                            // allows us to build the
                                             // singular two
                                             // dimensional quadrature
                                             // rules once and for all
-                                            // outside the loop on
-                                            // the cells, using only
+                                            // outside the loop over
+                                            // all cells, using only
                                             // a pointer where needed.
                                             //
                                             // Notice that in one