# Finite element analysis of free material optimization problem

Applications of Mathematics (2004)

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

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topMach, 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 -

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