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- Koshev, N.Penza State University of Architecture and Construction (author)
An adaptive finite element method for Fredholm integral equations of the first kind and its verification on experimental data
- Article/chapterEnglish2013
Publisher, publication year, extent ...
- Walter de Gruyter GmbH,2013
- electronicrdacarrier
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- LIBRIS-ID:oai:gup.ub.gu.se/179332
- https://gup.ub.gu.se/publication/179332URI
- https://doi.org/10.2478/s11533-013-0247-3DOI
- https://research.chalmers.se/publication/179332URI
Supplementary language notes
- Language:English
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Notes
- We propose an adaptive finite element method for the solution of a linear Fredholm integral equation of the first kind. We derive a posteriori error estimates in the functional to be minimized and in the regularized solution to this functional, and formulate corresponding adaptive algorithms. To do this we specify nonlinear results obtained earlier for the case of a linear bounded operator. Numerical experiments justify the efficiency of our a posteriori estimates applied both to the computationally simulated and experimental backscattered data measured in microtomography.
Subject headings and genre
- NATURVETENSKAP Matematik Sannolikhetsteori och statistik hsv//swe
- NATURAL SCIENCES Mathematics Probability Theory and Statistics hsv//eng
- NATURVETENSKAP Matematik Algebra och logik hsv//swe
- NATURAL SCIENCES Mathematics Algebra and Logic hsv//eng
- NATURVETENSKAP Matematik Geometri hsv//swe
- NATURAL SCIENCES Mathematics Geometry hsv//eng
- Fredholm integral equation of the first kind
- Ill-posed problem
- Adaptive finite element method
- A posteriori error estimates
- Tikhonov functional
- Regularized solution
- Adaptive finite element method
Added entries (persons, corporate bodies, meetings, titles ...)
- Beilina, Larisa,1970Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg(Swepub:cth)larisa (author)
- Penza State University of Architecture and ConstructionInstitutionen för matematiska vetenskaper, matematik (creator_code:org_t)
Related titles
- In:Central European Journal of Mathematics: Walter de Gruyter GmbH11:8, s. 1489-15091895-10741644-3616
- In:Open Mathematics: Walter de Gruyter GmbH11:8, s. 1489-15092391-5455
Internet link
- https://gup.ub.gu.se/publication/179332FULLTEXT
- http://www.math.chalmers.se/Math/Research/Preprints/2012/20.pdf
- https://research.chalmers.se/publication/179332/file/179332_Fulltext.pdfFULLTEXT
- https://gup.ub.gu.se/publication/179332
- https://doi.org/10.2478/s11533-013-0247-3
- https://research.chalmers.se/publication/179332
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