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+<!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">
+ <body>
+ <pre>
+
+@PhdThesis{Ban02,
+ author = {Wolfgang Bangerth},
+ title = {Adaptive Finite Element Methods for the Identification
+ of Distributed Coefficient in Partial Differential
+ Equations},
+ school = {University of Heidelberg},
+ year = 2002
+}
+
+
+
+</pre></body></html>
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+<!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" media="screen">
+ <link href="../../print.css" rel="StyleSheet" media="print">
+ <body>
+
+
+<H3>Abstract:</H3>
+<DIR>
+ <p>
+ In this thesis, we develop adaptive finite element methods for
+ parameter estimation problems involving partial differential
+ equations as constraints. In these so-called <em>Inverse
+ Problems</em>, the goal is the identification of a distributed
+ coefficient in a PDE by measurements of the state variable. This has
+ important applications where material parameters are to be
+ recovered, but only indirect measurements are possible, such as
+ identification of the underground structure from seismic
+ measurements, or in nondestructive material testing.
+ </p>
+
+ <p>
+ For this kind of problems, we develop adaptive finite element
+ discretizations based on error estimates, where the estimates are
+ both for the error in the minimization functional (i.e. of
+ ``energy-type'') as well as in arbitrary functionals. Furthermore,
+ methods are developed to handle constraints on the sought
+ coefficients, based on active set strategies. The methods developed
+ are numerically tested at a number of large scale inverse problems
+ realizing some types of inverse problems that actually occur in
+ applications.
+ </p>
+</DIR>
+<P>
+<BR><HR>
+<ADDRESS>
+<I>Wolfgang Bangerth</I>
+<BR><I>1999-09-10</I>
+</ADDRESS>
+</BODY>
+</HTML>
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