AN ESTIMATE ON THE APPROXIMATION OF THE RANK-ONE CONVEX HULL OF A FUNCTION

DOI10.1081/NFA-120014747zbMath1051.49007MaRDI QIDQ4787836

Pablo Pedregal, Ernesto Aranda

Publication date: 2002

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

zbMATH Keywords

laminatesrank-one convex hullmaximum number of levels

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45)

Cites Work

• Numerical analysis of oscillations in nonconvex problems
• Fine phase mixtures as minimizers of energy
• Numerical analysis of oscillations in multiple well problems
• On the Computation of the Rank-One Convex Hull of a Function
• On the Convergence of Finite-Element Approximations of a Relaxed Variational Problem
• Optimal design and relaxation of variational problems, I
• Rank-one convexity does not imply quasiconvexity
• Proposed experimental tests of a theory of fine microstructure and the two-well problem
• Numerical Computation of Rank-One Convex Envelopes
• Numerical Analysis of a Nonconvex Variational Problem Related to Solid-Solid Phase Transitions
• Approximated Convex Envelope of a Function
• Restrictions on microstructure
• On Algorithms for Nonconvex Optimization in the Calculus of Variations
• Numerical Approximation of the Solution of a Variational Problem with a Double Well Potential

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