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+ <pre>
+
+@PhdThesis{Har02,
+ author = {Ralf Hartmann},
+ title = {Adaptive Finite Element Methods for the
+ Compressible Euler Equations},
+ school = {University of Heidelberg},
+ year = 2002
+}
+
+
+
+</pre></body></html>
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+ <body>
+ <pre>
+
+@InProceedings{HH02a,
+ author = {Ralf Hartmann and Paul Houston},
+ title = {Goal-Oriented A Posteriori Error Estimation
+ for Multiple Target Functionals},
+ booktitle = {Hyperbolic problems: theory, numerics, applications:
+ ninth international conference in Pasadena, California, 2002},
+ year = 2002,
+ note = {submitted},
+ publisher = {Springer},
+}
+
+</pre></body></html>
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+ <head>
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+ <link href="../../print.css" rel="StyleSheet" media="print">
+ <body>
+
+
+<H3>Abstract:</H3>
+<DIR>
+ <p>
+ In many applications the quantities of interest are a series of
+ target functionals of the solution to the governing system of
+ partial differential equations rather than the solution itself. For
+ example, in the field of aerodynamics, examples include the drag and
+ lift coefficients of an airfoil immersed into a fluid, the pressure
+ difference between the leading and trailing edges of the airfoil and
+ point evaluations of the density or pressure on the profile of the
+ airfoil. While traditionally these quantities are measured in wind
+ tunnel experiments, nowadays these experiments are increasingly
+ replaced by numerical simulations aiming to predict these quantities
+ to a high level of accuracy.
+ <br>
+ In a series of previous articles, we have developed the theory of
+ goal--oriented <em>a posteriori</em> error estimation for
+ discontinuous Galerkin methods applied to inviscid compressible
+ fluid flows. On the basis of Type I <em>a posteriori</em> bounds we
+ considered the design of adaptive finite element algorithms that are
+ capable of generating optimal meshes specifically tailored to the
+ efficient computation of a <em>single</em> target functional of
+ practical interest. The purpose of the current article is to extend
+ this earlier work to the case when <em>several</em> target
+ functionals of the solution need to be simultaneously approximated
+ to a given level of accuracy.
+ </p>
+</DIR>
+<P>
+<BR><HR>
+<ADDRESS>
+<I>Ralf Hartmann</I>
+<BR><I>2002-06-17</I>
+</ADDRESS>
+</BODY>
+</HTML>