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PDE‐constrained optimization for advanced materials
Author(s) -
Leugering Günter,
Stingl Michael
Publication year - 2010
Publication title -
gamm‐mitteilungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.239
H-Index - 18
eISSN - 1522-2608
pISSN - 0936-7195
DOI - 10.1002/gamm.201010016
Subject(s) - auxetics , topology optimization , context (archaeology) , metamaterial , optimization problem , shape optimization , mathematical optimization , computer science , topology (electrical circuits) , constrained optimization problem , materials science , mathematics , engineering , structural engineering , composite material , finite element method , geology , combinatorics , paleontology , optoelectronics
In these notes we consider PDE‐constrained optimization in the context of advanced materials. We give examples for optimization and control in the coefficients, free material optimization, topology optimization, shape optimization in elastic and piezo‐electric materials. We explain some approaches to metamaterials, in particular for auxetic materials (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)