From fab5d60f52e13b618fa7e6a306332cb6c336776e Mon Sep 17 00:00:00 2001 From: kanschat Date: Sat, 13 Aug 2011 20:34:23 +0000 Subject: [PATCH] Warn that this is not really an a posteriori error estimator git-svn-id: https://svn.dealii.org/trunk@24061 0785d39b-7218-0410-832d-ea1e28bc413d --- .../include/deal.II/numerics/error_estimator.h | 15 ++++++++------- 1 file changed, 8 insertions(+), 7 deletions(-) diff --git a/deal.II/include/deal.II/numerics/error_estimator.h b/deal.II/include/deal.II/numerics/error_estimator.h index 82291b2efb..b5b9049a08 100644 --- a/deal.II/include/deal.II/numerics/error_estimator.h +++ b/deal.II/include/deal.II/numerics/error_estimator.h @@ -36,18 +36,19 @@ namespace hp /** - * Implementation of the error estimator by Kelly, Gago, Zienkiewicz - * and Babuska. This error estimator tries to approximate the error + * Implementation of the error indicator by Kelly, Gago, Zienkiewicz + * and Babuska. This error indicator tries to approximate the error * per cell by integration of the jump of the gradient of the * solution along the faces of each cell. It can be understood as a * gradient recovery estimator; see the survey of Ainsworth for a * complete discussion. * - * It seem as if this error estimator should only be valid for linear trial - * spaces, and there are indications that for higher order trial spaces the - * integrals computed here show superconvergence properties, i.e. they tend - * to zero faster than the error itself, thus ruling out the values as error - * indicators. + * @note In spite of the name, this is not truly an a posteriori + * error estimator, even if applied to the Poisson problem only. It + * gives good hints for mesh refinement, but the estimate is not to + * be trusted. For higher order trial spaces the integrals computed + * here tend to zero faster than the error itself, thus ruling out + * the values as error estimators. * * The error estimator really only estimates the error for the generalized * Poisson equation $-\nabla\cdot a(x) \nabla u = f$ with either Dirichlet -- 2.39.5