From: ManaswineeB <bezba004@umn.edu>
Date: Thu, 5 May 2022 16:34:48 +0000 (-0500)
Subject: minor typos fixed
X-Git-Tag: v9.4.0-rc1~136^2~5
X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=48a2135d40cce94371a8580ea7e4685b471716d9;p=dealii.git

minor typos fixed
---

diff --git a/doc/doxygen/references.bib b/doc/doxygen/references.bib
index 3a6663f6ba..b87479c506 100644
--- 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 bca2eb2897..3c5ac3d6f0 100644
--- 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 0708833ed6..8542186588 100644
--- 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 ee39e7dcac..3cf3f6e892 100644
--- 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);