From: Timo Heister <timo.heister@gmail.com>
Date: Sun, 10 May 2020 14:20:00 +0000 (-0400)
Subject: step-50: fix references
X-Git-Tag: v9.2.0-rc1~49^2
X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=refs%2Fpull%2F10117%2Fhead;p=dealii.git

step-50: fix references

- update funding source
- fix paper references
---

diff --git a/doc/doxygen/references.bib b/doc/doxygen/references.bib
index 1a07590727..b0a4497779 100644
--- a/doc/doxygen/references.bib
+++ b/doc/doxygen/references.bib
@@ -315,6 +315,21 @@
   journal = {Computer Methods in Applied Mechanics and Engineering}
 }
 
+% ------------------------------------
+% Step 50
+% ------------------------------------
+
+@article{karakashian2003posteriori,
+  title={A posteriori error estimates for a discontinuous Galerkin approximation of second-order elliptic problems},
+  author={Karakashian, Ohannes A and Pascal, Frederic},
+  journal={SIAM Journal on Numerical Analysis},
+  volume={41},
+  number={6},
+  pages={2374--2399},
+  year={2003},
+  publisher={SIAM}
+}
+
 % ------------------------------------
 % Step 51
 % ------------------------------------
@@ -701,3 +716,11 @@ year = {2008},
   Number                   = {91-279},
   Url                      = {citeseer.ist.psu.edu/saad93flexible.html}
 }
+
+@Article{clevenger_par_gmg,
+  Title                    = {A Flexible, Parallel, Adaptive Geometric Multigrid method for FEM},
+  Author                   = {Thomas C. Clevenger and Timo Heister and Guido Kanschat and Martin Kronbichler},
+  Journal                  = {submitted},
+  Year                     = {2019},
+  Url                      = {https://arxiv.org/abs/1904.03317}
+}
diff --git a/examples/step-50/doc/intro.dox b/examples/step-50/doc/intro.dox
index 1263229b40..5d289f95a1 100644
--- a/examples/step-50/doc/intro.dox
+++ b/examples/step-50/doc/intro.dox
@@ -4,7 +4,7 @@
 This program was contributed by Thomas C Clevenger and Timo Heister.
 <br>
 This material is based upon work partly supported by the National
-Science Foundation Award DMS-1901529, OAC-2015848, EAR-1925575, by the Computational
+Science Foundation Award DMS-2028346, OAC-2015848, EAR-1925575, by the Computational
 Infrastructure in Geodynamics initiative (CIG), through the NSF under Award
 EAR-0949446 and EAR-1550901 and The University of California -- Davis.
 </i>
@@ -36,7 +36,7 @@ for 2D and a Fichera corner for 3D) with $\epsilon = 1$ if $\min(x,y,z)>-\frac{1
 $\epsilon = 100$ otherwise. The boundary conditions are $u=0$ on the whole boundary and
 the right-hand side is $f=1$. We use continuous Q2 elements to discretize $V_h$ and use a
 residual-based, cell-wise a posteriori error estimator
-$e(K) = e_{\text{cell}}(K) + e_{\text{face}}(K)$ from _CITE EST PAPER_ with
+$e(K) = e_{\text{cell}}(K) + e_{\text{face}}(K)$ from @cite karakashian2003posteriori with
 @f{align*}
  e_{\text{cell}}(K) = h^2 \| f + \epsilon \triangle u \|_K^2, \qquad
  e_{\text{face}}(K) = \sum_F h_F \| [ \epsilon \nabla u \cdot n ] \|_F^2.
@@ -116,7 +116,7 @@ The value MGTools::workload_imbalance()$= 1/\mathbb{E}$ then represents the fact
 in timings we expect for GMG methods (vmults, assembly, etc.) due to the imbalance of the
 mesh partition.
 
-_CITE MG PAPER_ contains a full discussion of the partition efficiency model
+@cite clevenger_par_gmg contains a full discussion of the partition efficiency model
 and the effect the imbalance has on the GMG V-cycle timing. In summary, the value
 of $\mathbb{E}$ is highly dependent on the degree of local mesh refinement used and has
 an optimal value $\mathbb{E} \approx 1$ for globally refined meshes. Typically for adaptively