Geodesic
Finite element analysis of free material optimization problem
Applications of Mathematics, Tome 49 (2004) no. 4, pp. 285-307

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
DOI : 10.1007/s10492-004-6401-2
Classification : 65N30, 74G15, 74P05, 74S05
Keywords: structural optimization; material optimization; topology optimization; finite elements 
@article{10_1007_s10492_004_6401_2,
     author = {Mach, Jan},
     title = {Finite element analysis of free material optimization problem},
     journal = {Applications of Mathematics},
     pages = {285--307},
     publisher = {mathdoc},
     volume = {49},
     number = {4},
     year = {2004},
     doi = {10.1007/s10492-004-6401-2},
     mrnumber = {2076487},
     zbl = {1099.65112},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-004-6401-2/}
}
TY  - JOUR
AU  - Mach, Jan
TI  - Finite element analysis of free material optimization problem
JO  - Applications of Mathematics
PY  - 2004
SP  - 285
EP  - 307
VL  - 49
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10492-004-6401-2/
DO  - 10.1007/s10492-004-6401-2
LA  - en
ID  - 10_1007_s10492_004_6401_2
ER  - 
%0 Journal Article
%A Mach, Jan
%T Finite element analysis of free material optimization problem
%J Applications of Mathematics
%D 2004
%P 285-307
%V 49
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1007/s10492-004-6401-2/
%R 10.1007/s10492-004-6401-2
%G en
%F 10_1007_s10492_004_6401_2
Mach, Jan. Finite element analysis of free material optimization problem. Applications of Mathematics, Tome 49 (2004) no. 4, pp. 285-307. doi: 10.1007/s10492-004-6401-2

Cité par Sources :