From: Martin Kronbichler Date: Tue, 21 Apr 2009 07:51:22 +0000 (+0000) Subject: Adjust results section to new treatment of constraints. X-Git-Tag: v8.0.0~7803 X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=55442580a2325b21c430987b8946e91401b4f1c2;p=dealii.git Adjust results section to new treatment of constraints. git-svn-id: https://svn.dealii.org/trunk@18669 0785d39b-7218-0410-832d-ea1e28bc413d --- diff --git a/deal.II/examples/step-27/doc/results.dox b/deal.II/examples/step-27/doc/results.dox index 737d3e834d..1edfb9e6c8 100644 --- a/deal.II/examples/step-27/doc/results.dox +++ b/deal.II/examples/step-27/doc/results.dox @@ -13,41 +13,43 @@ examples/step-27> make run Cycle 0: Number of active cells: 768 Number of degrees of freedom: 3264 - Number of constraints : 0 + Number of constraints : 384 Cycle 1: Number of active cells: 996 Number of degrees of freedom: 5327 - Number of constraints : 494 + Number of constraints : 962 Cycle 2: Number of active cells: 1335 Number of degrees of freedom: 8947 - Number of constraints : 1496 + Number of constraints : 2056 Cycle 3: Number of active cells: 1626 Number of degrees of freedom: 12994 - Number of constraints : 2707 + Number of constraints : 3355 Cycle 4: Number of active cells: 1911 Number of degrees of freedom: 17988 - Number of constraints : 4112 + Number of constraints : 4860 Cycle 5: Number of active cells: 2577 Number of degrees of freedom: 26936 - Number of constraints : 6196 + Number of constraints : 7074 @endcode -The first thing we learn from this is that the number of constrained -degrees of freedom is on the order of 20-25% of the total number of -degrees of freedom, at least on the later grids when we have elements -of relatively high order (in 3d, the fraction of constrained degrees of -freedom can be up to 30%). This is, in fact, on the same order of -magnitude as for non-$hp$ discretizations. For example, in the last -step of the @ref step_6 "step-6" program, we have 18401 degrees of -freedom, 4104 of which are constrained. The difference is that in the -latter program, each constrained hanging node is constrained against -only the two adjacent degrees of freedom, whereas in the $hp$ case, -constrained nodes are constrained against many more degrees of -freedom. +The first thing we learn from this is that the number of constrained degrees +of freedom is on the order of 20-25% of the total number of degrees of +freedom, at least on the later grids when we have elements of relatively +high order (in 3d, the fraction of constrained degrees of freedom can be up +to 30%). This is, in fact, on the same order of magnitude as for non-$hp$ +discretizations. For example, in the last step of the @ref step_6 "step-6" +program, we have 18401 degrees of freedom, 4104 of which are +constrained. The difference is that in the latter program, each constrained +hanging node is constrained against only the two adjacent degrees of +freedom, whereas in the $hp$ case, constrained nodes are constrained against +many more degrees of freedom. Note also that the current program also +includes nodes subject to Dirichlet boundary conditions in the list of +constraints. In cycle 0, all the constraints are actually because of +boundary conditions. Of maybe more interest is to look at the graphical output. First, here is the solution of the problem: