Mid Sweden University

miun.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
A separating oscillation method of recovering the G-limit in standard and non-standard homogenization problems
Univ Orebro, Sch Sci & Technol, Dept Math, SE-70182 Örebro, Sweden.
Mid Sweden University, Faculty of Science, Technology and Media, Department of Quality Technology and Management, Mechanical Engineering and Mathematics.ORCID iD: 0000-0001-6742-5781
Mid Sweden University, Faculty of Science, Technology and Media, Department of Quality Technology and Management, Mechanical Engineering and Mathematics.ORCID iD: 0000-0001-9984-2424
Univ Orebro, Sch Sci & Technol, Dept Math, SE-70182 Orebro, Sweden.
2016 (English)In: Inverse Problems, ISSN 0266-5611, E-ISSN 1361-6420, Vol. 32, no 2, article id 025005Article in journal (Refereed) Published
Resource type
Text
Abstract [en]

Reconstructing the homogenized coefficient, which is also called the G-limit, in elliptic equations involving heterogeneous media is a typical nonlinear ill-posed inverse problem. In this work, we develop a numerical technique to determine G-limit that does not rely on any periodicity assumption. The approach is a technique that separates the computation of the deviation of the G-limit from the weak L-2-limit of the sequence of coefficients from the latter. Moreover, to tackle the ill-posedness, based on the classical Tikhonov regularization scheme we develop several strategies to regularize the introduced method. Various numerical tests for both standard and non-standard homogenization problems are given to show the efficiency and feasibility of the proposed method.

Place, publisher, year, edition, pages
2016. Vol. 32, no 2, article id 025005
Keywords [en]
homogenization, inverse problems, regularization, G-limit
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-27817DOI: 10.1088/0266-5611/32/2/025005ISI: 000372370900005Scopus ID: 2-s2.0-84962255423OAI: oai:DiVA.org:miun-27817DiVA, id: diva2:934275
Available from: 2016-06-08 Created: 2016-06-07 Last updated: 2017-11-30Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full textScopus

Authority records

Holmbom, AndersPersson, Jens

Search in DiVA

By author/editor
Holmbom, AndersPersson, Jens
By organisation
Department of Quality Technology and Management, Mechanical Engineering and Mathematics
In the same journal
Inverse Problems
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 253 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf