hig.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard-cite-them-right
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • sv-SE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • de-DE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Galerkin method for solving scalar problems of diffraction by a partially shielded inhomogeneous body
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences, Mathematics.
Department of Mathematics and Supercomputing, Penza State University, Penza, Russian Federation.
2016 (English)In: Proceedings of the 2016 18th International Conference on Electromagnetics in Advanced Applications, ICEAA 2016, 2016, 360-363 p., 7731398Conference paper, Published paper (Refereed)
Abstract [en]

The scalar problem of diffraction by an inhomogeneous partially shielded body is considered. The boundary value problem leads to a system of integral equations on two- and three-dimensional manifolds with boundary. The equivalence of the integral and differential formulations of the problem is established; the Fredholm property and invertibility of the matrix operator are proved. Galerkin method for numerical solving of the integral equations is proposed. The approximation property for compactly supported basis functions as well as the convergence of Galerkin method in proper Sobolev spaces is proved. Numerical results are provided.

Place, publisher, year, edition, pages
2016. 360-363 p., 7731398
Keyword [en]
Boundary value problems; Diffraction; Galerkin methods; Integral equations; Numerical methods; Sobolev spaces, Approximation properties; Basis functions; Compactly supported; Differential formulations; Inhomogeneous body; Numerical results; Scalar problems; System of integral equations, Problem solving
National Category
Mathematics
Identifiers
URN: urn:nbn:se:hig:diva-23295DOI: 10.1109/ICEAA.2016.7731398Scopus ID: 2-s2.0-85007361256OAI: oai:DiVA.org:hig-23295DiVA: diva2:1064288
Conference
18th International Conference on Electromagnetics in Advanced Applications, ICEAA 2016, 19-23 September 2016, Cairns, Australia
Available from: 2017-01-12 Created: 2017-01-12 Last updated: 2017-02-06Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Smolkin, Eugene
By organisation
Mathematics
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 33 hits
CiteExportLink to record
Permanent link

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