--- /dev/null
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0//EN"
+ "http://www.w3.org/TR/REC-html40/strict.dtd">
+<html>
+ <head>
+ <link href="../../screen.css" rel="StyleSheet" title="deal.II Homepage" media="screen">
+ <link href="../../print.css" rel="StyleSheet" title="deal.II Homepage" media="print">
+ <title>The deal.II Homepage</title>
+ <meta name="author" content="Ralf Hartmann <Ralf Hartmann@iwr.uni-heidelberg.de>">
+ <meta name="keywords" content="Publications on and with deal.II"></head>
+ <body>
+
+
+<H3>Abstract:</H3>
+<DIR>
+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 <em>a posteriori</em> 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 <em>
+ ad hoc</em> 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.
+
+</DIR>
+<P>
+<BR><HR>
+<ADDRESS>
+<I>Ralf Hartmann</I>
+<BR><I>2001-12-18</I>
+</ADDRESS>
+</BODY>
+</HTML>
--- /dev/null
+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0//EN"
+ "http://www.w3.org/TR/REC-html40/strict.dtd">
+<html>
+ <head>
+ <link href="../../screen.css" rel="StyleSheet" title="deal.II Homepage" media="screen">
+ <link href="../../print.css" rel="StyleSheet" title="deal.II Homepage" media="print">
+ <title>The deal.II Homepage</title>
+ <meta name="author" content="Ralf Hartmann <Ralf Hartmann@iwr.uni-heidelberg.de>">
+ <meta name="keywords" content="Publications on and with deal.II"></head>
+ <body>
+
+
+<H3>Abstract:</H3>
+<DIR>
+We consider so-called `goal-oriented' <em>a posteriori</em> 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, <em>a
+posteriori</em> 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.
+</DIR>
+<P>
+<BR><HR>
+<ADDRESS>
+<I>Ralf Hartmann</I>
+<BR><I>2000-12-03</I>
+</ADDRESS>
+</BODY>
+</HTML>
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