# On the Strong Convergence of Gradients in Stabilized Degenerate Convex Minimization Problems

@article{Boiger2010OnTS,
title={On the Strong Convergence of Gradients in Stabilized Degenerate Convex Minimization Problems},
author={Wolfgang Boiger and Carsten Carstensen},
journal={SIAM J. Numer. Anal.},
year={2010},
volume={47},
pages={4569-4580}
}
• Published 2010
• Mathematics, Computer Science
• SIAM J. Numer. Anal.
Infimizing sequences in nonconvex variational problems typically exhibit enforced finer and finer oscillations called microstructures such that the infimal energy is not attained. Although those oscillations are physically meaningful, finite element approximations experience difficulty in their reconstruction. The relaxation of the nonconvex minimization problem by (semi) convexification leads to a macroscopic model for the effective energy. The resulting discrete macroscopic problem is…
6 Citations

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