minor typos fixed

diff --git a/doc/doxygen/references.bib b/doc/doxygen/references.bib
index 3a6663f6bae648dc18bea6b1f0be57943c9a9fd8..b87479c506643075a513a3cf010f9771d3e36550 100644 (file)
--- a/doc/doxygen/references.bib
+++ b/doc/doxygen/references.bib
@@ -1360,7 +1360,7 @@
 }
 
 @ARTICLE{Geim2004,
-  AUTHOR={K.S. Novoselov and A.K. Geim, S.V. Morozov and D. Jiang and Y. Zhang and S.V. Dubonos and I.V. Grigorieva and A.A. Firsov},
+  AUTHOR={K.S. Novoselov and A.K. Geim and S.V. Morozov and D. Jiang and Y. Zhang and S.V. Dubonos and I.V. Grigorieva and A.A. Firsov},
   TITLE={Electric Field Effect in Atomically Thin Carbon Films},
   JOURNAL={Science},
   VOLUME={306},

diff --git a/examples/step-81/doc/intro.dox b/examples/step-81/doc/intro.dox
index bca2eb289721e05997f1f32889bf9d5b9481bd16..3c5ac3d6f035050a916ab9f5622f7468ccfce5bc 100644 (file)
--- a/examples/step-81/doc/intro.dox
+++ b/examples/step-81/doc/intro.dox
@@ -45,11 +45,11 @@ equations</a>
 @f{align*}
   \frac{\partial}{\partial t} \mathbf{H} + \nabla \times \mathbf{E} &= -\mathbf{M}_a,
   \\
-  \nabla \cdot \mathbf{H} &= \rho,
+  \nabla \cdot \mathbf{H} &= \rho_m,
   \\
   \frac{\partial}{\partial t} (\varepsilon\mathbf{E}) - \nabla\times(\mu^{-1}\mathbf{H}) &= - \mathbf{J}_a,
   \\
-  \nabla\cdot(\varepsilon\mathbf{E}) &= \rho_m.
+  \nabla\cdot(\varepsilon\mathbf{E}) &= \rho.
 @f}
 Here, $\nabla\times$ is the curl operator, $\nabla\cdot$ is the divergence
 operator, $\varepsilon$ is the
@@ -163,7 +163,7 @@ typical electric current strength $J_0$, i.e., the strength of the
 prescribed dipole source at location $a$ in the $e_i$ direction in Cartesian
 coordinates (here, $\delta$ is the Dirac delta operator).
 @f[
-\mathbf{J}_a = J_0 e_i\delta(x-a)
+\mathbf{J}_a = J_0 \mathbf{e}_i\delta(x-a)
 @f]
   </li>
 </ol>
@@ -200,7 +200,7 @@ Accordingly, our rescaled equations are
   -i\mu_r \hat{\mathbf{H}} + \hat{\nabla} \times \hat{\mathbf{E}}
   &= -\hat{\mathbf{M}}_a,
   \\
-  \hat{\nabla} \cdot (\mu_r\hat{\mathbf{H}}) &= \frac{1}{i}\hat{\nabla}
+  \hat{\nabla} \cdot (\mu_r\hat{\mathbf{H}}) &= \frac{1}{i\omega}\hat{\nabla}
   \cdot \hat{\mathbf{M}}_a,
   \\
   i\varepsilon_r\hat{\mathbf{E}} + \nabla\times(\mu^{-1}\mathbf{H})
@@ -377,7 +377,7 @@ the discretized variational problem is:
 @f]
 
 <h3>Perfectly Matched Layer</h3>
-The SPP amplitude is negatively effected by the absorbing boundary condition and
+The SPP amplitude is negatively affected by the absorbing boundary condition and
 this causes the solution image to be distorted. In order to reduce the resonance
 and distortion in our solutions, we are implementing a Perfectly Matched Layer
 (PML) in the scattering configuration.

diff --git a/examples/step-81/doc/results.dox b/examples/step-81/doc/results.dox
index 0708833ed65224d3373665a26f6e79f475c73be5..8542186588f61dfdf95331dc099832e51a32785c 100644 (file)
--- a/examples/step-81/doc/results.dox
+++ b/examples/step-81/doc/results.dox
@@ -189,7 +189,7 @@ const auto phi_i = real_part.value(i, q_point) - 1.0i * imag_part.value(i, q_poi
 @endcode
 
 This $\phi_i$ variable doesn't need to be scaled in this way, we may choose
-any arbitrary scaling consents $a$ and $b$. If we choose this scaling, the
+any arbitrary scaling constants $a$ and $b$. If we choose this scaling, the
 $\phi_j$ must also be modified with the same scaling, as follows:
 
 @code

diff --git a/examples/step-81/step-81.cc b/examples/step-81/step-81.cc
index ee39e7dcac1f0203e12fcdea1dee67fb6c96af32..3cf3f6e892b3fcd0655228a0f8cb19d36d4b5d70 100644 (file)
--- a/examples/step-81/step-81.cc
+++ b/examples/step-81/step-81.cc
@@ -81,7 +81,7 @@ namespace Step81
   // The Parameters class inherits ParameterAcceptor, and instantiates all the
   // coefficients in our variational equations.
   // These coefficients are passed through ParameterAcceptor and are editable
-  // through a .prm file
+  // through a .prm file.
   // More explanation on the use and inheritance from the ParameterAcceptor
   // can be found in step-60.
 
@@ -101,7 +101,7 @@ namespace Step81
   // J_a is the strength and orientation of the dipole. As mentioned in the
   // rescaling,
   // @f[
-  // \mathbf{J}_a = J_0 e_i\delta(x-a)
+  // \mathbf{J}_a = J_0 \mathbf{e}_i\delta(x-a)
   // @f]
   // It is a rank 1 tensor
   // that depends on the private dipole_position, dipole_radius,
@@ -480,6 +480,9 @@ namespace Step81
   // Additionally, a material interface is introduced by setting the
   // material id of the upper half ($y>0$) to 1 and of the lower half
   // ($y<0$) of the computational domain to 2.
+  // We are using a block decomposition into real and imaginary matrices
+  // for the solution matrices. More details on this are available
+  // under the Results section.
 
   template <int dim>
   void Maxwell<dim>::make_grid()
@@ -783,7 +786,6 @@ namespace Step81
                         auto B = perfectly_matched_layer.b_matrix(position);
                         auto C = perfectly_matched_layer.c_matrix(position);
                         sigma  = invert(C) * sigma * invert(B);
-                        ;
                       };
 
                     const auto normal = fe_face_values.normal_vector(q_point);