Geodesic
A galerkin boundary element method for solving the generalized Helmholtz decomposition
S. N. Kempka1 ; W. W. Glass1 ; J. H. Strickland1 ; M. S. Ingber2
1 Engineering Sciences Center Sandia National Laboratories Alburquerque, NM 87185, USA
2 Departement of Mechanical Engeneering University of New Mexico Alburquerque, NM 87106, USA
ESAIM. Proceedings, Tome 7 (1999), pp. 205-214.

Voir la notice de l'article provenant de la source EDP Sciences

The objective of this work is to more accuretely calculate velocities, particularly on bondaries, by using the Galerkin form of the generalized Helmholtz decomposition. This work describes advantages of using the generalized Helmholtz decomposition over the other formulations and shows the accuracy and convergence advantages of Galerkin numerical methods over point collocation methods. Solutions based on Galerkin and point collocation methods are compared for two-dimensional problems. The comparaison shows that Galerkin solutions are significantly more accurate and less oscillatory. Accordingly, the Galerkin method is recommended for use with vortex methods.
DOI : 10.1051/proc:1999019

S. N. Kempka 1 ; W. W. Glass 1 ; J. H. Strickland 1 ; M. S. Ingber 2

1 Engineering Sciences Center Sandia National Laboratories Alburquerque, NM 87185, USA
2 Departement of Mechanical Engeneering University of New Mexico Alburquerque, NM 87106, USA 
@article{EP_1999_7_a18,
     author = {S. N. Kempka and W. W. Glass and J. H. Strickland and M. S. Ingber},
     title = {A galerkin boundary element method for solving the generalized {Helmholtz} decomposition},
     journal = {ESAIM. Proceedings},
     pages = {205--214},
     publisher = {mathdoc},
     volume = {7},
     year = {1999},
     doi = {10.1051/proc:1999019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:1999019/}
}
TY  - JOUR
AU  - S. N. Kempka
AU  - W. W. Glass
AU  - J. H. Strickland
AU  - M. S. Ingber
TI  - A galerkin boundary element method for solving the generalized Helmholtz decomposition
JO  - ESAIM. Proceedings
PY  - 1999
SP  - 205
EP  - 214
VL  - 7
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/proc:1999019/
DO  - 10.1051/proc:1999019
LA  - en
ID  - EP_1999_7_a18
ER  - 
%0 Journal Article
%A S. N. Kempka
%A W. W. Glass
%A J. H. Strickland
%A M. S. Ingber
%T A galerkin boundary element method for solving the generalized Helmholtz decomposition
%J ESAIM. Proceedings
%D 1999
%P 205-214
%V 7
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/proc:1999019/
%R 10.1051/proc:1999019
%G en
%F EP_1999_7_a18
S. N. Kempka; W. W. Glass; J. H. Strickland; M. S. Ingber. A galerkin boundary element method for solving the generalized Helmholtz decomposition. ESAIM. Proceedings, Tome 7 (1999), pp. 205-214. doi : 10.1051/proc:1999019. http://geodesic.mathdoc.fr/articles/10.1051/proc:1999019/

Cité par Sources :