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Title: Finite element analysis of free material optimization problem (English)
Author: Mach, Jan
Language: English
Journal: Applications of Mathematics
ISSN: 0862-7940 (print)
ISSN: 1572-9109 (online)
Volume: 49
Issue: 4
Year: 2004
Pages: 285-307
Summary lang: English
Category: math
Summary: Free material optimization solves an important problem of structural engineering, i.e. to find the stiffest structure for given loads and boundary conditions. Its mathematical formulation leads to a saddle-point problem. It can be solved numerically by the finite element method. The convergence of the finite element method can be proved if the spaces involved satisfy suitable approximation assumptions. An example of a finite-element discretization is included. (English)
Keyword: structural optimization
Keyword: material optimization
Keyword: topology optimization
Keyword: finite elements
MSC: 65N30
MSC: 74G15
MSC: 74P05
MSC: 74S05
idZBL: Zbl 1099.65112
idMR: MR2076487
DOI: 10.1007/s10492-004-6401-2
Date available: 2009-09-22T18:18:16Z
Last updated: 2020-07-02
Stable URL:
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