Finite element analysis of free material optimization problem

Jan Mach

Applications of Mathematics (2004)

  • Volume: 49, Issue: 4, page 285-307
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Mach, Jan. "Finite element analysis of free material optimization problem." Applications of Mathematics 49.4 (2004): 285-307. <http://eudml.org/doc/33186>.

@article{Mach2004,
abstract = {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.},
author = {Mach, Jan},
journal = {Applications of Mathematics},
keywords = {structural optimization; material optimization; topology optimization; finite elements; structural optimization; topology optimization; finite elements},
language = {eng},
number = {4},
pages = {285-307},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Finite element analysis of free material optimization problem},
url = {http://eudml.org/doc/33186},
volume = {49},
year = {2004},
}

TY - JOUR
AU - Mach, Jan
TI - Finite element analysis of free material optimization problem
JO - Applications of Mathematics
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 4
SP - 285
EP - 307
AB - 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.
LA - eng
KW - structural optimization; material optimization; topology optimization; finite elements; structural optimization; topology optimization; finite elements
UR - http://eudml.org/doc/33186
ER -

References

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