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李治平

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期刊论文

SIMULTANEOUS NUMERICAL APPROXIMATION OF MICROSTRUCTURES AND RELAXED MINIMIZERS

李治平ZHIPING LI

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摘要/描述

The problem of minimizing multiple integral functionals with nonquasiconvex integrands is considered. A numerical method, which is based on an alternative minimizing problem to the relaxed problem and thus uses no quasiconvex envelope of the integrands nor its numerical approximation in the computation, is introduced to approximate simultaneously the highly oscillating minimizing sequences, or in other words microstructures, and the minimizers of the corresponding relaxed problem. Existence and convergence of the discrete solutions are proved and an error estimate is obtained. A numerical example is given.

【免责声明】以下全部内容由[李治平]上传于[2006年04月29日 22时39分30秒],版权归原创者所有。本文仅代表作者本人观点,与本网站无关。本网站对文中陈述、观点判断保持中立,不对所包含内容的准确性、可靠性或完整性提供任何明示或暗示的保证。请读者仅作参考,并请自行承担全部责任。

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