Relaxation of free-discontinuity energies with obstacles

DOI10.1051/cocv:2008014zbMath1148.49011OpenAlexW2129361243MaRDI QIDQ3531533

Matteo Focardi, Maria Stella Gelli

Publication date: 31 October 2008

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/245450

zbMATH Keywords

obstacle problemsrelaxationMumford-Shah energy

Mathematics Subject Classification ID

Brittle fracture (74R10) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (2)

Equilibrium configurations for epitaxially strained films and material voids in three-dimensional linear elasticity ⋮ Multiphase free discontinuity problems: monotonicity formula and regularity results

Cites Work

• Approximation of free-discontinuity problems
• An introduction to \(\Gamma\)-convergence
• Quasistatic crack growth in nonlinear elasticity
• Relaxation of the non-parametric Plateau problem with an obstacle
• Asymptotic analysis of Mumford-Shah type energies in periodically perforated domains
• Optimal approximations by piecewise smooth functions and associated variational problems
• The Euler Equation for Functionals with Linear Growth
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