From 9a624cf94a63ee39ed52e2080eeb8f9958a1f03f Mon Sep 17 00:00:00 2001 From: Wolfgang Bangerth Date: Wed, 29 Mar 2023 17:46:42 -0600 Subject: [PATCH] Add more comments and reference a paper. --- doc/doxygen/references.bib | 12 ++++++++++++ examples/step-7/doc/results.dox | 6 ++++++ 2 files changed, 18 insertions(+) diff --git a/doc/doxygen/references.bib b/doc/doxygen/references.bib index ef87c6a1f2..72d2f09224 100644 --- a/doc/doxygen/references.bib +++ b/doc/doxygen/references.bib @@ -44,6 +44,18 @@ url = {https://doi.org/10.1007/s10915-019-01102-1} } +@article{KronbichlerWall2018, + author = {Kronbichler, Martin and Wall, Wolfgang A.}, + title = {A Performance Comparison of Continuous and Discontinuous Galerkin Methods with Fast Multigrid Solvers}, + journal = {SIAM Journal on Scientific Computing}, + year = {2018}, + volume = {40}, + number = {5}, + pages = {A3423--A3448}, + url = {https://epubs.siam.org/doi/10.1137/16M110455X}, + doi = {10.1137/16M110455X} +} + %------------------------------------------------------------------------------- % Step 10 %------------------------------------------------------------------------------- diff --git a/examples/step-7/doc/results.dox b/examples/step-7/doc/results.dox index ee404b7382..2c1906923f 100644 --- a/examples/step-7/doc/results.dox +++ b/examples/step-7/doc/results.dox @@ -296,3 +296,9 @@ linear system solver we use in this program is not perfect -- its run time grows faster than proportional to the linear system size -- and picking a better linear solver might be appropriate for this kind of comparison. + +To see how a comparison of this kind could work, take a look at +@cite KronbichlerWall2018 , and specifically Figure 5 +that illustrates the error as a function of compute time for +a number of polynomial degrees (as well as a number of different ways +to discretize the equation used there). -- 2.39.5