From: schrage Date: Fri, 16 Apr 1999 11:57:27 +0000 (+0000) Subject: Complete rewrite. X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=62e59dd27de594bbe4cbc06b7c93a72c1b5c0fa6;p=dealii-svn.git Complete rewrite. git-svn-id: https://svn.dealii.org/trunk@1167 0785d39b-7218-0410-832d-ea1e28bc413d --- diff --git a/deal.II/doc/tutorial/chapter-1.elements/hanging_nodes.html b/deal.II/doc/tutorial/chapter-1.elements/hanging_nodes.html index 1dbbbed182..8caf594619 100644 --- a/deal.II/doc/tutorial/chapter-1.elements/hanging_nodes.html +++ b/deal.II/doc/tutorial/chapter-1.elements/hanging_nodes.html @@ -18,32 +18,37 @@

Hanging Nodes

This chapter discusses locally refined grids, which are the only ones with -hanging nodes. A node is called hanging if its value is not fixed. - In particular, nodes on the boundary of your domain +hanging nodes. A node is called hanging if its value is subject to a +constraint. +In particular, nodes on the boundary of your domain are not hanging.

When do you get hanging nodes ?

-You get hanging nodes after each refinement. The value of these nodes is -not fixed, but they are subject to constraints. Hanging nodes +You get hanging nodes after each refinement. Hanging nodes are those that +are situated on the boundary of a larger active cell. The global function +is assumed +to be linear on the boundary of each active cell, therefore the value +of the hanging node must be adjusted accordingly. Newly created nodes that +are not situated on boundaries of larger active cells are not subject to this +constraint because there is no reason to assume that the global function +is linear on the boundary of a parent cell. +Hanging nodes and the constraints they are subject to need to be taken into account when generating your matrix structure. +This is further discussed in the chapters on +matrix structure and +condensing the hanging nodes.

-

How to condense hanging nodes into a matrix structure

- -There are three deal.II methods you will need for -dealing with hanging nodes: - - - -NOT FINISHED - + + + +
Hanging nodes on a locally refined grid
+Hanging Nodes +