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Strong approximation ofGSBV functions by piecewise smooth functions
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Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/cpa.3160420503openalex-snapshot
Optimal approximations by piecewise smooth functions and associated variational problems
inferredcites →https://doi.org/10.1007/978-1-4612-0327-8openalex-snapshot
An Introduction to Γ-Convergence
inferredcites →https://doi.org/10.1007/978-1-4612-1015-3openalex-snapshot
Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation
inferredcites →https://doi.org/10.1007/978-1-4613-8357-4openalex-snapshot
Variational and Free Boundary Problems
inferredcites →https://doi.org/10.1007/978-1-4613-8357-4_3openalex-snapshot
The Space SBV(Ω) and Free Discontinuity Problems
inferredcites →https://doi.org/10.1007/978-1-4684-0567-5openalex-snapshot
Variational Methods in Image Segmentation: with seven image processing experiments
inferredcites →https://doi.org/10.1007/978-1-4684-9486-0openalex-snapshot
Minimal Surfaces and Functions of Bounded Variation
inferredcites →https://doi.org/10.1007/bf00052492openalex-snapshot
Variational problems in SBV and image segmentation
inferredcites →https://doi.org/10.1007/bf00376024openalex-snapshot
Existence theory for a new class of variational problems
inferredcites →https://doi.org/10.1007/bf01052971openalex-snapshot
Existence theorem for a minimum problem with free discontinuity set
inferredcites →https://doi.org/10.1007/bf01190895openalex-snapshot
A new proof of the SBV compactness theorem
inferredcites →https://doi.org/10.1007/bf02392977openalex-snapshot
A variational method in image segmentation: Existence and approximation results
inferredcites →https://doi.org/10.1007/s005260050068openalex-snapshot
Non-local approximation of the Mumford-Shah functional
inferredcites →https://doi.org/10.1016/0362-546x(94)90180-5openalex-snapshot
On the lower semicontinuity of quasiconvex integrals in SBV(Ω, Rk)
inferredcites →https://doi.org/10.1017/s0308210500026780openalex-snapshot
Regularity results for equilibria in a variational model for fracture
inferredcites →https://doi.org/10.1184/r1/6479342openalex-snapshot
Regularity results for anisotropic image segmentation models
inferredcites →https://doi.org/10.1201/9780203747940openalex-snapshot
Measure Theory and Fine Properties of Functions
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/mana.202300346openalex-snapshot
Strong approximation of special functions of bounded variation functions with prescribed jump direction
inferred← citeshttps://doi.org/10.1002/zamm.202200525openalex-snapshot
Brittle membranes in finite elasticity
inferred← citeshttps://doi.org/10.1007/s00205-014-0820-3openalex-snapshot
Γ-convergence Approximation of Fracture and Cavitation in Nonlinear Elasticity
inferred← citeshttps://doi.org/10.1007/s00526-004-0269-6openalex-snapshot
Ambrosio-Tortorelli approximation of quasi-static evolution of brittle fractures
inferred← citeshttps://doi.org/10.1007/s00526-019-1530-3openalex-snapshot
A compactness result in $$GSBV^p$$ and applications to $$\varGamma $$-convergence for free discontinuity problems
inferred← citeshttps://doi.org/10.1016/j.crma.2005.03.027openalex-snapshot
A new approximation result for BV-functions
inferred← citeshttps://doi.org/10.1016/j.jfa.2024.110686openalex-snapshot
Approximation of SBV functions with possibly infinite jump set
inferred← citeshttps://doi.org/10.1016/j.matpur.2010.03.002openalex-snapshot
An extension theorem in SBV and an application to the homogenization of the Mumford–Shah functional in perforated domains
inferred← citeshttps://doi.org/10.1051/cocv/2016062openalex-snapshot
Gamma-convergence of certain modified Perona-Malik functionals
inferred← citeshttps://doi.org/10.1051/cocv/2018021openalex-snapshot
Approximation of fracture energies withp-growthviapiecewise affine finite elements
inferred← citeshttps://doi.org/10.1051/m2an/2019024openalex-snapshot
Damage-driven fracture with low-order potentials: asymptotic behavior, existence and applications
inferred← citeshttps://doi.org/10.1081/nfa-120026378openalex-snapshot
A Discontinuous Finite Element Approximation of Quasi-static Growth of Brittle Fractures
inferred← citeshttps://doi.org/10.1088/0266-5611/27/1/015008openalex-snapshot
Hierarchical models in statistical inverse problems and the Mumford–Shah functional
inferred← citeshttps://doi.org/10.1112/blms.13190openalex-snapshot
Piecewise rank‐one approximation of vector fields with measure derivatives
inferred← citeshttps://doi.org/10.1137/080744372openalex-snapshot
Homogenization of Fiber Reinforced Brittle Materials: The Extremal Cases
inferred← citeshttps://doi.org/10.1137/130947180openalex-snapshot
Asymptotic Analysis of Ambrosio--Tortorelli Energies in Linearized Elasticity
inferred← citeshttps://doi.org/10.1137/15m1020848openalex-snapshot
Second-Order Edge-Penalization in the Ambrosio--Tortorelli functional
inferred← citeshttps://doi.org/10.1137/17m1129982openalex-snapshot
A Piecewise Korn Inequality in SBD and Applications to Embedding and Density Results
inferred← citeshttps://doi.org/10.1137/22m1528161openalex-snapshot
Discrete Approximation of the Griffith Functional by Adaptive Finite Elements
inferred← citeshttps://doi.org/10.3934/ipi.2014.8.389openalex-snapshot
A variational algorithm for the detection of line segments
inferred← citeshttps://doi.org/10.3934/ipi.2015.9.835openalex-snapshot
Point-wise behavior of the Geman--McClure and the Hebert--Leahy image restoration models
inferred← citeshttps://doi.org/10.70675/ad70ac4ez6777z4f6dzbc62z5fce9ff96f5fopenalex-snapshot
Variational methods applied to discrete and evolutionary brittle damage models
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