From d2cf3c7a8a262e8a6679575a09d6cb5b097d9b8e Mon Sep 17 00:00:00 2001 From: Quang Hoang Date: Fri, 18 Nov 2022 15:36:28 -0500 Subject: [PATCH] fix typos Fix reference step 59 fix typo step-79 fix typo results.dox step-76 doc fix add changes from indent --- doc/doxygen/headers/geodynamics.h | 2 +- doc/doxygen/references.bib | 20 ++++++++++++++++++++ examples/step-59/doc/intro.dox | 5 +---- examples/step-76/step-76.cc | 4 ++-- examples/step-79/doc/results.dox | 9 ++++----- 5 files changed, 28 insertions(+), 12 deletions(-) diff --git a/doc/doxygen/headers/geodynamics.h b/doc/doxygen/headers/geodynamics.h index 3836105542..9f66d707cd 100644 --- a/doc/doxygen/headers/geodynamics.h +++ b/doc/doxygen/headers/geodynamics.h @@ -92,7 +92,7 @@ problems. In particular, they are aimed at the following goals: infrastructure code supporting AMR. Supporting this point is the fact that although there are - more than 1,000 + more than 2,000 publications presenting results obtained with deal.II, we are aware of only a relatively small number of applications that have been built with deal.II from scratch; all others have started as modifications of one of the tutorial diff --git a/doc/doxygen/references.bib b/doc/doxygen/references.bib index 4a7e7a3c63..550aafab7c 100644 --- a/doc/doxygen/references.bib +++ b/doc/doxygen/references.bib @@ -664,6 +664,26 @@ url = {http://doi.org/10.1016/j.camwa.2016.09.004}, } +% ------------------------------------ +% Step 59 +% ------------------------------------ +@article{Lynch1964, +author = {Lynch, Robert E. and Rice, John R. and Thomas, Donald H.}, +title = {Direct Solution of Partial Difference Equations by Tensor Product Methods}, +year = {1964}, +issue_date = {December 1964}, +publisher = {Springer-Verlag}, +address = {Berlin, Heidelberg}, +volume = {6}, +number = {1}, +issn = {0029-599X}, +url = {https://doi.org/10.1007/BF01386067}, +doi = {10.1007/BF01386067}, +journal = {Numer. Math.}, +month = {dec}, +pages = {185–199}, +numpages = {15} +} % ------------------------------------ % Step 61 % ------------------------------------ diff --git a/examples/step-59/doc/intro.dox b/examples/step-59/doc/intro.dox index 091adf3dd3..e5523b22bb 100644 --- a/examples/step-59/doc/intro.dox +++ b/examples/step-59/doc/intro.dox @@ -244,10 +244,7 @@ only holds for Cartesian cells and constant coefficients, which is a pretty narrow case, we refrain from pursuing this idea. Interestingly, the exact inverse of the matrix $L$ can be found through tensor -products due to a method introduced by R. E. Lynch, J. R. Rice, -D. H. Thomas, Direct solution of partial difference equations by tensor -product methods, Numerische Mathematik 6, 185-199 from 1964, +products due to a method introduced by Lynch et al. @cite Lynch1964 from 1964, @f{align*}{ L^{-1} &= S_1 \otimes S_0 (\Lambda_1 \otimes I + I \otimes \Lambda_0)^{-1} S_1^\mathrm T \otimes S_0^\mathrm T, diff --git a/examples/step-76/step-76.cc b/examples/step-76/step-76.cc index ce8aa5f467..717b81f8d2 100644 --- a/examples/step-76/step-76.cc +++ b/examples/step-76/step-76.cc @@ -593,8 +593,8 @@ namespace Euler_DG } - // The following function does an entire stage of a Runge--Kutta update and is - // - alongside the slightly modified setup - the heart of this tutorial + // The following function does an entire stage of a Runge--Kutta update + // and is, alongside the slightly modified setup, the heart of this tutorial // compared to step-67. // // In contrast to step-67, we are not executing the advection step diff --git a/examples/step-79/doc/results.dox b/examples/step-79/doc/results.dox index 1c023ed7c1..2f0326214b 100644 --- a/examples/step-79/doc/results.dox +++ b/examples/step-79/doc/results.dox @@ -45,14 +45,13 @@ individual components of the solution look as follows: These pictures show that what we find here is in accordance with what one -typically sees in other publications on the topic @cite Bendse2004. Maybe more interestingly, the +typically sees in other publications on the topic @cite Bendse2004. +Maybe more interestingly, the result looks like a truss bridge (except that we apply the load at the top of the trusses, rather than the bottom as in real truss bridges, akin to a "deck -truss" bridge), suggesting that the designs that have been used in bridge- -building for centuries are indeed based on ideas we can now show to be optimal +truss" bridge), suggesting that the designs that have been used in bridge-building +for centuries are indeed based on ideas we can now show to be optimal in some sense. - -

Possibilities for extensions

The results shown above took around 75 iterations to find, which is quite -- 2.39.5