caa a22 4500 46798669X CHVBK 20180323112534.0 cr unu---uuuuu 170328e19900901xx s 000 0 eng 10.1007/BF02575797 doi (NATIONALLICENCE)springer-10.1007/BF02575797 Numerical minimization of geometrical type problems related to calculus of variations [Elektronische Daten] [G. Bellettini, M. Paolini, C. Verdi] The minimization of the functionalG(v)=H(S v)+∫ ∂Ω m·v-∫ Ω k·v is related to various geometrical type problems in calculus of variations, such as the minimal partition of a set, the segmentation of images, and the search for sets with prescribed curvature. The functionalG is first regularized and next discretized by means of piecewise linear finite elements with numerical quadratures, thus allowing its actual minimization on a computer. The discrete functionals converge toG in the sense of Γ-convergence, which implies the convergence of the discrete minima to a minimum ofG. Various numerical experiments illustrate the behaviour of the numerical algorithm. Instituto di Elaborazione della Informazione del CNR, 1990 53A10 nationallicence 65K10 nationallicence 65N30 nationallicence Bellettini G. International School for Advanced Studies SISSA/ISAS, 34014, Trieste, Italy aut Paolini M. Istituto di Analisi Numerica del CNR, 27100, Pavia, Italy aut Verdi C. Dipartimento di Meccanica Strutturale, Università di Pavia and Istituto di Analisi Numerica del CNR, 27100, Pavia, Italy aut CALCOLO Springer-Verlag 27/3-4(1990-09-01), 251-278 0008-0624 27:3-4<251 1990 27 10092 https://doi.org/10.1007/BF02575797 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02575797 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bellettini G. International School for Advanced Studies SISSA/ISAS, 34014, Trieste, Italy aut NATIONALLICENCE 700 1- Paolini M. Istituto di Analisi Numerica del CNR, 27100, Pavia, Italy aut NATIONALLICENCE 700 1- Verdi C. Dipartimento di Meccanica Strutturale, Università di Pavia and Istituto di Analisi Numerica del CNR, 27100, Pavia, Italy aut NATIONALLICENCE 773 0- CALCOLO Springer-Verlag 27/3-4(1990-09-01), 251-278 0008-0624 27:3-4<251 1990 27 10092 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer