An adaptive finite element method for Fredholm integral equations of the first kind and its verification on experimental data

Koshev, N. (författare): Penza State University of Architecture and Construction

Beilina, Larisa, 1970 (författare): Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg

(creator_code:org_t)

Walter de Gruyter GmbH, 2013
2013
Engelska.
Ingår i: Central European Journal of Mathematics. - : Walter de Gruyter GmbH. - 1895-1074 .- 1644-3616. ; 11:8, s. 1489-1509

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Abstract Ämnesord

Stäng

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.

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)

Om ämnet

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