Approximation of \(SBV\) functions with possibly infinite jump set

Cites Work

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A density result for GSBD and its application to the approximation of brittle fracture energies
Integral representation for functionals defined on \(SBD^p\) in dimension two
A new approximation result for BV-functions
Approximation of free-discontinuity problems
Integral representation results for functionals defined on \(\text{SBV}(\Omega;\mathbb{R}^ m)\)
Quasistatic crack growth in 2d-linearized elasticity
A density result in \(GSBD^p\) with applications to the approximation of brittle fracture energies
An approximation result for special functions with bounded deformation
On the approximation of SBV functions
An extension theorem in SBV and an application to the homogenization of the Mumford-Shah functional in perforated domains
Confining thin elastic sheets and folding paper
Piecewise affine approximations for functions of bounded variation
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VARIATIONAL APPROXIMATION OF FREE-DISCONTINUITY ENERGIES WITH LINEAR GROWTH
Approximation of fracture energies withp-growthviapiecewise affine finite elements
On the Approximation of SBD Functions and Some Applications
The Γ-limit for singularly perturbed functionals of Perona–Malik type in arbitrary dimension
Linear inverse problems with Hessian-Schatten total variation
Functions with bounded Hessian-Schatten variation: density, variational, and extremality properties
Phase-field approximation of a vectorial, geometrically nonlinear cohesive fracture energy