Strong polyhedral approximation of simple jump sets

DOI10.1016/j.matpur.2010.10.010zbMath1239.26011OpenAlexW2033934845MaRDI QIDQ413606

Tuomo Valkonen

Publication date: 7 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2010.10.010

zbMATH Keywords

approximationbounded variationdiscontinuities

Mathematics Subject Classification ID

Brittle fracture (74R10) Variational problems in a geometric measure-theoretic setting (49Q20) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

Related Items (1)

Limiting Aspects of Nonconvex ${TV}^{\phi}$ Models

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Transport equation and image interpolation with SBD velocity fields
• Compactness and lower semicontinuity properties in \(SBD(\Omega)\)
• Fine properties of functions with bounded deformation
• An approximation result for special functions with bounded deformation
• Weakly Differentiable Functions
• A density result in SBV with respect to non-isotropic energies
• The Mathematical Theory of Finite Element Methods
• Extension of Lipschitz functions

This page was built for publication: Strong polyhedral approximation of simple jump sets