TY - GEN
T1 - On the relation between petrov-galerkin finite element method and bubbble elements
AU - Okumura, H.
AU - Kawahara, M.
PY - 2000
Y1 - 2000
N2 - A finite element method employing the trilinear element with a bubble function derived by the Petrov-Galerkin procedure is presented in this paper, which is equivalent to the stabilized finite element method in case of the P1 approximation in certaion problems such as steady advection-diffusion and viscous fluid flows. As an approximated function of the weighting function, the trilinear interpolation function with a special bubble function called stabilized bubble is used. The stabilized bubble element is establised using the stabilized bubble function with a control parameter, of which the shape can be changed to attain optimal numerical viscousity.
AB - A finite element method employing the trilinear element with a bubble function derived by the Petrov-Galerkin procedure is presented in this paper, which is equivalent to the stabilized finite element method in case of the P1 approximation in certaion problems such as steady advection-diffusion and viscous fluid flows. As an approximated function of the weighting function, the trilinear interpolation function with a special bubble function called stabilized bubble is used. The stabilized bubble element is establised using the stabilized bubble function with a control parameter, of which the shape can be changed to attain optimal numerical viscousity.
KW - Advection- diffusion equation
KW - FEM
KW - Incompressible navier-stokes equaitons
KW - Petrov-galerkin approximation
KW - Stabilized bubble function
UR - http://www.scopus.com/inward/record.url?scp=84893410070&partnerID=8YFLogxK
M3 - 会議への寄与
AN - SCOPUS:84893410070
SN - 8489925704
SN - 9788489925700
T3 - European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
BT - European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
T2 - European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
Y2 - 11 September 2000 through 14 September 2000
ER -