Results 11 to 20 of about 590,396 (265)
Stochastic Homogenisation of Free-Discontinuity Problems [PDF]
Archive for Rational Mechanics and Analysis, 2017 In this paper we study the stochastic homogenisation of free-discontinuity functionals. Assuming stationarity for the random volume and surface integrands, we prove the existence of a homogenised random free-discontinuity functional, which is ...
F. Cagnetti +3 more
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Iterative Thresholding Meets Free-Discontinuity Problems [PDF]
Foundations of Computational Mathematics, 2009 Free-discontinuity problems describe situations where the solution of interest is defined by a function and a lower-dimensional set consisting of the discontinuities of the function.
M. Fornasier, Rachel A. Ward
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Strong Existence for Free-Discontinuity Problems with Nonstandard Growth [PDF]
SIAM Journal on Mathematical AnalysisAn Ahlfors-type regularity result for free-discontinuity energies defined on the space $SBV^{\varphi}$ of special functions of bounded variation with $\varphi$-growth, where $\varphi$ is a generalized Orlicz function, is proved.
C. Leone +3 more
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Sublabel-Accurate Discretization of Nonconvex Free-Discontinuity Problems [PDF]
2017 IEEE International Conference on Computer Vision (ICCV), 2016 In this work we show how sublabel-accurate multilabeling approaches [15, 18] can be derived by approximating a classical label-continuous convex relaxation of nonconvex free-discontinuity problems.
Thomas Möllenhoff, D. Cremers
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The Calibration Method for Free Discontinuity Problems [PDF]
, 2000 The calibration method is used to identify some minimizers of the Mumford-Shah functional. The method is then extended to more general free discontinuity problems.
G. Maso
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Finite Difference Approximation of Free Discontinuity Problems [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1999 We approximate functionals depending on the gradient of $u$ and on the behaviour of $u$ near the discontinuity points, by families of non-local functionals where the gradient is replaced by finite differences.
Gobbino, Massimo, Mora, Maria Giovanna
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Manifold-constrained free discontinuity problems and Sobolev approximation [PDF]
Nonlinear Analysis, 2023 We study the regularity of local minimisers of a prototypical free-discontinuity problem involving both a manifold-valued constraint on the maps (which are defined on a bounded domain $Ω\subset \R^2$) and a variable-exponent growth in the energy functional.
F. Dipasquale, B. Stroffolini
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Indiana University Mathematics Journal, 2023 We analyze the $ $-convergence of sequences of free-discontinuity functionals arising in the modeling of linear elastic solids with surface discontinuities, including phenomena as fracture, damage, or material voids. We prove compactness with respect to $ $-convergence and represent the $ $-limit in an integral form defined on the space of ...
Manuel Friedrich +2 more
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MULTIPHASE FREE DISCONTINUITY PROBLEMS : MONOTONICITY FORMULA AND REGULARITY RESULTS
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2018 The purpose of this paper is to analyze regularity properties of local solutions to free discontinuity problems characterized by the presence of multiple phases. The key feature of the problem is related to the way in which two neighboring phases interact: the contact is penalized at jump points, while no cost is assigned to no-jump interfaces which ...
D. Bucur, I. Fragalà, A. Giacomini
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