From 69224d6de2af8f1c30af914ea8762a30aa5b8a9f Mon Sep 17 00:00:00 2001 From: Ashna Aggarwal Date: Tue, 6 Aug 2019 17:32:40 -0600 Subject: [PATCH] minor edits to step 4, including typos and clarification on solution verification --- examples/step-4/doc/intro.dox | 2 +- examples/step-4/doc/results.dox | 6 ++++-- 2 files changed, 5 insertions(+), 3 deletions(-) diff --git a/examples/step-4/doc/intro.dox b/examples/step-4/doc/intro.dox index e554c4944c..7c7eef54a0 100644 --- a/examples/step-4/doc/intro.dox +++ b/examples/step-4/doc/intro.dox @@ -111,7 +111,7 @@ amount of memory for the member variable; note that the size of a -The deal.II library is build around this concept +The deal.II library is built around this concept of dimension-independent programming, and therefore allows you to program in a way that will not need to distinguish between the space dimensions. It should be noted that in diff --git a/examples/step-4/doc/results.dox b/examples/step-4/doc/results.dox index 44dffe8489..f5bd1906de 100644 --- a/examples/step-4/doc/results.dox +++ b/examples/step-4/doc/results.dox @@ -53,6 +53,8 @@ maximal values of the right hand side function are at the corners of the domain, where also the solution is moving most rapidly. It is also nice to see that the solution follows the desired quadratic boundary values along the boundaries of the domain. +It can also be useful to verify a computed solution against an analytical +solution. For an explanation of this technique, see step-7. On the other hand, even though the picture does not show the mesh lines explicitly, you can see them as little kinks in the solution. This clearly @@ -80,7 +82,7 @@ so that it is possible to see through them and see what's behind. @note -A final remark on visualization: The idea of visualization is to give insight, +A final remark on visualization: the idea of visualization is to give insight, which is not the same as displaying information. In particular, it is easy to overload a picture with information, but while it shows more information it makes it also more difficult to glean insight. As an example, the program I @@ -92,7 +94,7 @@ of this is important here: the axes are equally easy to make out because the tripod at the bottom left is still visible, and we know from the program that the domain is $[-1,1]^3$, so there is no need for tick marks. As a consequence, I have -switched off all the extraneous stuff in the picture: The art of visualization +switched off all the extraneous stuff in the picture: the art of visualization is to reduce the picture to those parts that are important to see what one wants to see, but no more. -- 2.39.5