eprintid: 2508
rev_number: 9
eprint_status: archive
userid: 1
dir: disk0/00/00/25/08
datestamp: 2002-08-02 00:00:00
lastmod: 2014-04-03 12:12:34
status_changed: 2012-08-14 15:05:17
type: doctoralThesis
metadata_visibility: show
creators_name: Bangerth, Wolfgang
title: Adaptive Finite Element Methods for the Identification of Distributed Parameters in Partial Differential Equations
title_de: Adaptive Finite-Elemente-Methoden zur Identifikation verteilter Parameter in partiellen Differentialgleichungen
ispublished: pub
subjects: ddc-510
divisions: i-110400
adv_faculty: af-11
keywords: Numerical analysis , Distributed parameter systems , Finite element method
cterms_swd: Numerische Mathematik
cterms_swd: System mit verteilten Parametern
cterms_swd: Finite-Elemente-Methode
note: http://gaia.iwr.uni-heidelberg.de/~wolf
abstract_translated_text: In this thesis, we develop algorihms for the solution of inverse problems by the adaptive finite element method. In particular, we consider problems where distributed coefficients in partial differential equations are to be identified from measurements of the state variable. The ingredients for efficient algorithms are error estimates for various quantities, such as the misfit or the error in the coefficient, and adaptive finite element discretization strategies. We also discuss the numerical solution of the resulting discrete equations, as well as the  incorporation of inequality constraints on the sought coefficient. The efficiency of the proposed methods is verified at a number of synthetic examples.
abstract_translated_lang: eng
class_scheme: msc
class_labels: 86A22, 65J22, 65N15, 65N21, 65N30
date: 2002
date_type: published
id_scheme: DOI
id_number: 10.11588/heidok.00002508
ppn_swb: 1643333062
own_urn: urn:nbn:de:bsz:16-opus-25088
date_accepted: 2002-07-12
advisor: HASH(0x558eaa5d4e80)
language: eng
bibsort: BANGERTHWOADAPTIVEFI2002
full_text_status: public
citation:   Bangerth, Wolfgang  (2002) Adaptive Finite Element Methods for the Identification of Distributed Parameters in Partial Differential Equations.  [Dissertation]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/2508/1/2002-phd.pdf