From: wolf Date: Tue, 16 Apr 2002 08:40:08 +0000 (+0000) Subject: Add my thesis. X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=18ed02a2274e875a2a0ea6a24a6fe55ed0a64928;p=dealii-svn.git Add my thesis. git-svn-id: https://svn.dealii.org/trunk@5659 0785d39b-7218-0410-832d-ea1e28bc413d --- diff --git a/deal.II/doc/publications/2002/bangerth-1.bib b/deal.II/doc/publications/2002/bangerth-1.bib new file mode 100644 index 0000000000..85eae27bdc --- /dev/null +++ b/deal.II/doc/publications/2002/bangerth-1.bib @@ -0,0 +1,21 @@ + + + + + + + 
+
+@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
+}
+
+
+
+
diff --git a/deal.II/doc/publications/2002/bangerth-1.html b/deal.II/doc/publications/2002/bangerth-1.html new file mode 100644 index 0000000000..c100d4760a --- /dev/null +++ b/deal.II/doc/publications/2002/bangerth-1.html @@ -0,0 +1,43 @@ + + + + + + + + +

Abstract:

+ +

+ In this thesis, we develop adaptive finite element methods for + parameter estimation problems involving partial differential + equations as constraints. In these so-called Inverse + Problems, 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. +

+ +

+ 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. +

+ +

+

+
+Wolfgang Bangerth +
1999-09-10 +
+ +