From d7a1f60e7e2b938896c8d5134806c1ae98a9e759 Mon Sep 17 00:00:00 2001 From: Ralf Hartmann Date: Fri, 18 Jan 2002 09:52:25 +0000 Subject: [PATCH] . git-svn-id: https://svn.dealii.org/trunk@5393 0785d39b-7218-0410-832d-ea1e28bc413d --- deal.II/doc/publications/2001/hh-2.html | 45 +++++++++++++++++++ deal.II/doc/publications/2001/hh_enumath.html | 31 +++++++++++++ 2 files changed, 76 insertions(+) create mode 100644 deal.II/doc/publications/2001/hh-2.html create mode 100644 deal.II/doc/publications/2001/hh_enumath.html diff --git a/deal.II/doc/publications/2001/hh-2.html b/deal.II/doc/publications/2001/hh-2.html new file mode 100644 index 0000000000..1733fd2f95 --- /dev/null +++ b/deal.II/doc/publications/2001/hh-2.html @@ -0,0 +1,45 @@ + + + + + + The deal.II Homepage + + + + + +

Abstract:

+ +In this paper a recently developed approach + for the design of + adaptive discontinuous Galerkin finite element approximations + is applied to physically relevant problems arising in inviscid compressible + fluid flows governed by the + Euler equations of gas dynamics. In particular, we employ so--called + weighted or Type I a posteriori error bounds to drive adaptive + finite element algorithms for the estimation of + the error measured in terms of general linear and nonlinear target + functionals of the solution; typical examples considered here include + the point evaluation of a component of the solution vector, and the + drag and lift coefficients of a body immersed in an inviscid fluid. + This general approach leads to the design of + economical finite element meshes specifically tailored to the computation + of the target functional of interest, as well as providing reliable and + efficient error estimation. Indeed, the superiority of the proposed + approach over standard mesh refinement algorithms which employ + ad hoc error indicators will be illustrated by a series of + numerical experiments; here, we consider + transonic flow through a nozzle, as well as subsonic, transonic and + supersonic flows around different airfoil geometries. + + +

+

+
+Ralf Hartmann +
2001-12-18 +
+ + diff --git a/deal.II/doc/publications/2001/hh_enumath.html b/deal.II/doc/publications/2001/hh_enumath.html new file mode 100644 index 0000000000..3ec52eac4d --- /dev/null +++ b/deal.II/doc/publications/2001/hh_enumath.html @@ -0,0 +1,31 @@ + + + + + + The deal.II Homepage + + + + + +

Abstract:

+ +We consider so-called `goal-oriented' a posteriori error +estimation for discontinuous Galerkin finite element approximations to +the compressible Euler equations of gas dynamics. By employing a +hyperbolic duality argument, we derive weighted, or Type I, a +posteriori error estimates which bound the error measured in +terms of certain target functionals of real or physical interest. The +practical advantages of this general approach are illustrated by a +series of numerical experiments. + +

+

+
+Ralf Hartmann +
2000-12-03 +
+ + -- 2.39.5