Estimates for numerical approximations of rank one convex envelopes

作     者：Dolzmann, G Walkington, NJ 

作者机构：Carnegie Mellon Univ Dept Math Sci Pittsburgh PA 15213 USA Max Planck Inst Math Sci D-04103 Leipzig Germany 

出 版 物：《NUMERISCHE MATHEMATIK》 (数值数学)

年 卷 期：2000年第85卷第4期

页      面：647-663页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Nonconvex variational problem Finite-element approximation Optimal-design Microstructure Relaxation Converge Optimal design Convexity numerical approximation FINITE ELEMENT Numerical Microstructure numerical calculation 

摘      要：We present a convergence analysis of an algorithm for the numerical computation of the rank-one convex envelope of a function f : M-mxn -- R. A rate of convergence for the scheme is established, and numerical experiments are presented to illustrate the analytical results and applications of the algorithm.