Geodesic
Reproducing kernel particle method and its modification
Mathematica Bohemica, Tome 135 (2010) no. 4, pp. 383-392.

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

Meshless methods have become an effective tool for solving problems from engineering practice in last years. They have been successfully applied to problems in solid and fluid mechanics. One of their advantages is that they do not require any explicit mesh in computation. This is the reason why they are useful in the case of large deformations, crack propagations and so on. Reproducing kernel particle method (RKPM) is one of meshless methods. In this contribution we deal with some modifications of the RKPM. The construction of the methods considered is given together with simple examples of their applications to solving boundary value problems.
DOI : 10.21136/MB.2010.140829
Classification : 65L60, 65N30
Keywords: meshless method; partition of unity; reproducing kernel particle method; reproducing kernel hierarchical partition of unity; enriched reproducing kernel particle method 
@article{10_21136_MB_2010_140829,
     author = {Mo\v{s}ov\'a, Vratislava},
     title = {Reproducing kernel particle method and its modification},
     journal = {Mathematica Bohemica},
     pages = {383--392},
     publisher = {mathdoc},
     volume = {135},
     number = {4},
     year = {2010},
     doi = {10.21136/MB.2010.140829},
     mrnumber = {2681012},
     zbl = {1224.65270},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2010.140829/}
}
TY  - JOUR
AU  - Mošová, Vratislava
TI  - Reproducing kernel particle method and its modification
JO  - Mathematica Bohemica
PY  - 2010
SP  - 383
EP  - 392
VL  - 135
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2010.140829/
DO  - 10.21136/MB.2010.140829
LA  - en
ID  - 10_21136_MB_2010_140829
ER  - 
%0 Journal Article
%A Mošová, Vratislava
%T Reproducing kernel particle method and its modification
%J Mathematica Bohemica
%D 2010
%P 383-392
%V 135
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2010.140829/
%R 10.21136/MB.2010.140829
%G en
%F 10_21136_MB_2010_140829
Mošová, Vratislava. Reproducing kernel particle method and its modification. Mathematica Bohemica, Tome 135 (2010) no. 4, pp. 383-392. doi : 10.21136/MB.2010.140829. http://geodesic.mathdoc.fr/articles/10.21136/MB.2010.140829/

Cité par Sources :