songsenand
/
cgal
mirror of https://github.com/CGAL/cgal
1
0
Fork 0
Code Issues Packages Projects Releases Wiki Activity

Replace delta by delta_gamma, to stick more with the article 

That also introduces the name of the source set.

I have also removed the sentence "over the entire domain M", that was
off-topic, here.
This commit is contained in:
Laurent Rineau 2018-12-18 12:13:34 +01:00
parent ea3927bb13
commit 26335f93b1
1 changed files with 1 additions and 2 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

3
Heat_method_3/doc/Heat_method_3/Heat_method_3.txt
View File

@ -118,8 +118,7 @@ The algorithm must then be translated in to a discrete algorithm by replacing th
The heat equation can be discretized in time using a single backward Euler step. This means the following equation must be solved:
\f$(id-t\Delta)u_t = \delta(x) \f$ where \f$\delta(x)\f$ is a Dirac delta encoding an "infinite" spike of heat (1 if x is in the source set, 0 otherwise)
over the entire domain M, where id is the identity operator.
\f$(id-t\Delta)u_t = \delta_{\gamma}(x) \f$ where \f$\delta_{\gamma}(x)\f$ is a Dirac delta encoding an "infinite" spike of heat (1 if x is in the source set \f$\gamma\f$, 0 otherwise), where id is the identity operator.
The spatial discretization depends on the choice of discrete surface representation.
For this package, we use triangle meshes exclusively.