Geodesic
Guaranteed and computable bounds of the limit load for variational problems with linear growth energy functionals
Applications of Mathematics, Tome 61 (2016) no. 5, pp. 527-564.

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

The paper is concerned with guaranteed and computable bounds of the limit (or safety) load, which is one of the most important quantitative characteristics of mathematical models associated with linear growth functionals. We suggest a new method for getting such bounds and illustrate its performance. First, the main ideas are demonstrated with the paradigm of a simple variational problem with a linear growth functional defined on a set of scalar valued functions. Then, the method is extended to classical plasticity models governed by von Mises and Drucker-Prager yield laws. The efficiency of the proposed approach is confirmed by several numerical experiments.
DOI : 10.1007/s10492-016-0146-6
Classification : 49M15, 74C05, 74S05, 90C25
Keywords: functionals with linear growth; limit load; truncation method; perfect plasticity 
@article{10_1007_s10492_016_0146_6,
     author = {Haslinger, Jaroslav and Repin, Sergey and Sysala, Stanislav},
     title = {Guaranteed and computable bounds of the limit load for variational problems with linear growth energy functionals},
     journal = {Applications of Mathematics},
     pages = {527--564},
     publisher = {mathdoc},
     volume = {61},
     number = {5},
     year = {2016},
     doi = {10.1007/s10492-016-0146-6},
     mrnumber = {3547761},
     zbl = {06644011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-016-0146-6/}
}
TY  - JOUR
AU  - Haslinger, Jaroslav
AU  - Repin, Sergey
AU  - Sysala, Stanislav
TI  - Guaranteed and computable bounds of the limit load for variational problems with linear growth energy functionals
JO  - Applications of Mathematics
PY  - 2016
SP  - 527
EP  - 564
VL  - 61
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10492-016-0146-6/
DO  - 10.1007/s10492-016-0146-6
LA  - en
ID  - 10_1007_s10492_016_0146_6
ER  - 
%0 Journal Article
%A Haslinger, Jaroslav
%A Repin, Sergey
%A Sysala, Stanislav
%T Guaranteed and computable bounds of the limit load for variational problems with linear growth energy functionals
%J Applications of Mathematics
%D 2016
%P 527-564
%V 61
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1007/s10492-016-0146-6/
%R 10.1007/s10492-016-0146-6
%G en
%F 10_1007_s10492_016_0146_6
Haslinger, Jaroslav; Repin, Sergey; Sysala, Stanislav. Guaranteed and computable bounds of the limit load for variational problems with linear growth energy functionals. Applications of Mathematics, Tome 61 (2016) no. 5, pp. 527-564. doi : 10.1007/s10492-016-0146-6. http://geodesic.mathdoc.fr/articles/10.1007/s10492-016-0146-6/

Cité par Sources :