Density of polyhedral partitions
From MaRDI portal
Publication:526929
DOI10.1007/s00526-017-1108-xzbMath1366.49051arXiv2105.14530OpenAlexW3168478707MaRDI QIDQ526929
Adriana Garroni, Andrea Braides, Sergio Conti
Publication date: 15 May 2017
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.14530
Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)
Related Items
Variational modeling of dislocations in crystals in the line-tension limit ⋮ Interfacial Energies of Systems of Chiral Molecules ⋮ Homogenization of energies defined on $1$-rectifiable currents ⋮ \(\Gamma\)-convergence analysis of a generalized \(XY\) model: fractional vortices and string defects ⋮ Continuum limit and stochastic homogenization of discrete ferromagnetic thin films ⋮ Approximation of fracture energies withp-growthviapiecewise affine finite elements ⋮ The double-bubble problem on the square lattice ⋮ Derivation of strain-gradient plasticity from a generalized Peierls-Nabarro model ⋮ Nonlocal minimal clusters in the plane ⋮ Lower semicontinuity for functionals defined on piecewise rigid functions and on \(GSBD\) ⋮ A density result in \(GSBD^p\) with applications to the approximation of brittle fracture energies ⋮ Functionals defined on piecewise rigid functions: integral representation and \(\Gamma \)-convergence ⋮ Emergence of rigid polycrystals from atomistic systems with Heitmann-Radin sticky disk energy ⋮ On the continuity of functionals defined on partitions ⋮ Variational Analysis of a Two-Dimensional Frustrated Spin System: Emergence and Rigidity of Chirality Transitions ⋮ Sticky-disk limit of planar \(N\)-bubbles ⋮ Phase-field approximation of functionals defined on piecewise-rigid maps ⋮ The antiferromagnetic \(XY\) model on the triangular lattice: chirality transitions at the surface scaling ⋮ \(\mathit\Gamma\)-convergence of the Heitmann-Radin sticky disc energy to the crystalline perimeter
Cites Work
- Unnamed Item
- A density result for GSBD and its application to the approximation of brittle fracture energies
- The line-tension approximation as the dilute limit of linear-elastic dislocations
- Interfaces, modulated phases and textures in lattice systems
- A new approximation result for BV-functions
- Relaxation of quasiconvex functionals in \(BV(\Omega, \mathbb{R}^ N)\) for integrands \(f(x, u, \bigtriangledown u)\)
- Modeling of dislocations and relaxation of functionals on 1-currents with discrete multiplicity
- Functionals defined on partitions in sets of finite perimeter. I: Integral representation and Gamma-convergence
- Functionals defined on partitions in sets of finite perimeter. II: Semicontinuity, relaxation and homogenization
- Integral representation results for functionals defined on \(\text{SBV}(\Omega;\mathbb{R}^ m)\)
- A global method for relaxation in \(W^{1,p}\) and in SBV\(_p\)
- An approximation result for special functions with bounded deformation
- On the approximation of SBV functions
- Piecewise affine approximations for functions of bounded variation
- Strong approximation of sets in BV(Ω)
- A density result in SBV with respect to non-isotropic energies
- Interfacial Energies of Systems of Chiral Molecules
This page was built for publication: Density of polyhedral partitions
