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A finite element‐based level set method for structural optimization
Author(s) -
Xing Xianghua,
Wei Peng,
Wang Michael Yu
Publication year - 2009
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2785
Subject(s) - level set method , finite element method , level set (data structures) , extended finite element method , mixed finite element method , boundary knot method , set (abstract data type) , dirichlet boundary condition , mathematical optimization , mathematics , boundary (topology) , method of fundamental solutions , scheme (mathematics) , smoothed finite element method , boundary value problem , computer science , boundary element method , mathematical analysis , structural engineering , engineering , segmentation , artificial intelligence , image segmentation , programming language
Abstract A finite element‐based level set method is implemented for structural optimization. The streamline diffusion finite element method is used for solving both the level set equation and the reinitialization equation. The lumped scheme is addressed and the accuracy is compared with the conventional finite difference‐based level set method. A Dirichlet boundary condition is enforced during the reinitialization to prevent the boundary from drifting. Numerical examples of minimum mean compliance design illustrate the reliability of the proposed optimization method. Copyright © 2009 John Wiley & Sons, Ltd.