Solving inverse problems for PDEs in terms of Lax-Milgram functional and a generalized collage method

Davide La Torre, Herb Kunze and Ed Vrscay
Additional contact information
Herb Kunze: University of Guelph, Ontario, Canada
Ed Vrscay: University of Waterloo, Ontario, Canada

No unimi-1026, UNIMI - Research Papers in Economics, Business, and Statistics from Universitá degli Studi di Milano

Abstract: In this paper, we develop a general collage coding framework for inverse problems in partial differential equations (PDEs) with boundary conditions. Although a general PDEs inverse problem can be very complicated, via the Generalized Collage Theorem in this paper, many such problems can be reduced to an optimization problem which can be solved at least approximately. We study a general theory for variational formulation of PDEs and then we show an application to a one-dimensional steady-state diffusion equation. We give many numerical examples and we analyze stability results under perturbation of data.

Keywords: Partial differential equations; inverse problems (search for similar items in EconPapers)
Date: 2006-05-01
Note: oai:cdlib1:unimi-1026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://services.bepress.com/unimi/statistics/art9 (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bep:unimip:unimi-1026

Access Statistics for this paper

More papers in UNIMI - Research Papers in Economics, Business, and Statistics from Universitá degli Studi di Milano Contact information at EDIRC.
Bibliographic data for series maintained by Christopher F. Baum ().