A density result in SBV with respect to non-isotropic energies

From MaRDI portal
Publication:4700431

DOI10.1016/S0362-546X(98)00132-1zbMath0939.49024OpenAlexW2020334743WikidataQ126819269 ScholiaQ126819269MaRDI QIDQ4700431

Guido Cortesani, Rodica Toader

Publication date: 3 July 2000

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(98)00132-1



Related Items

ON THE VARIATIONAL APPROXIMATION OF FREE-DISCONTINUITY PROBLEMS IN THE VECTORIAL CASE, An anisotropic Mumford-Shah model, Shape optimization problems with Robin conditions on the free boundary, Existence and regularity of optimal shapes for spectral functionals with Robin boundary conditions, Shape optimization problems for functionals with a boundary integral, On some non-local approximation of nonisotropic Griffith-type functionals, Non-local approximation of the Griffith functional, On the convergence of 3D free discontinuity models in variational fracture, Minimization of the \(k\)-th eigenvalue of the Robin-Laplacian, A density result for GSBD and its application to the approximation of brittle fracture energies, Discrete Approximation of the Griffith Functional by Adaptive Finite Elements, Discrete stochastic approximations of the Mumford-Shah functional, A variational model for plastic slip and its regularization via \(\Gamma \)-convergence, Non-interpenetration conditions in the passage from nonlinear to linearized Griffith fracture, Approximation of fracture energies withp-growthviapiecewise affine finite elements, Strong polyhedral approximation of simple jump sets, Mumford–Shah functionals on graphs and their asymptotics, Brittle membranes in finite elasticity, Two-phase models for elastic membranes with soft inclusions, Discrete-to-Continuum Limits of Multibody Systems with Bulk and Surface Long-Range Interactions, Approximation of BV by SBV functions in metric spaces, The $\Gamma $-limit and the related gradient flow for singular perturbation functionals of Perona-Malik type, On a decomposition of regular domains into John domains with uniform constants, A derivation of Griffith functionals from discrete finite-difference models, An approximation result for free discontinuity functionals by means of non-local energies, Quantitative analysis of finite-difference approximations of free-discontinuity problems, A variational algorithm for the detection of line segments, A density result in \(GSBD^p\) with applications to the approximation of brittle fracture energies, Phase-field approximation for a class of cohesive fracture energies with an activation threshold, Overall properties of a discrete membrane with randomly distributed defects, Anisotropic free-discontinuity functionals as the Γ-limit of second-order elliptic functionals, A dimension-reduction model for brittle fractures on thin shells with mesh adaptivity, Density of polyhedral partitions, A derivation of linearized Griffith energies from nonlinear models, Models of defects in atomistic systems, The Γ-limit for singularly perturbed functionals of Perona–Malik type in arbitrary dimension, Transport equation and image interpolation with SBD velocity fields, Ambrosio-Tortorelli approximation of quasi-static evolution of brittle fractures, An approximation of the Mumford--Shah energy by a family of discrete edge-preserving functionals, A new approximation result for BV-functions, Mumford–Shah Functional as Γ-Limit of Discrete Perona–Malik Energies, Homogenization of fiber reinforced brittle materials: the intermediate case, A variational approach to the isoperimetric inequality for the Robin eigenvalue problem, A Ginzburg-Landau model with topologically induced free discontinuities, On the Approximation of SBD Functions and Some Applications, DISCONTINUOUS FINITE ELEMENT APPROXIMATION OF QUASISTATIC CRACK GROWTH IN NONLINEAR ELASTICITY, \(\Gamma\)-convergence for high order phase field fracture: continuum and isogeometric formulations, Damage-driven fracture with low-order potentials: asymptotic behavior, existence and applications, Homogenization of many-body structures subject to large deformations, Non-local approximation of free-discontinuity problems with linear growth, Density in SBD and approximation of fracture energies, Approximation of the Mumford–Shah functional by phase fields of bounded variation, Convergence of Nonlocal Finite Element Energies for Fracture Mechanics, Griffith energies as small strain limit of nonlinear models for nonsimple brittle materials, \(\Gamma\)-convergence approximation of fracture and cavitation in nonlinear elasticity, On a discrete-to-continuum convergence result for a two dimensional brittle material in the small displacement regime, A nonlocal approximation of free discontinuity problems in SBV and SBD