TY - JOUR
T1 - Discrepancy between theory and real computation on the stability of some finite element schemes
AU - Tabata, Masahisa
PY - 2007/2/15
Y1 - 2007/2/15
N2 - Finite element schemes based on the method of characteristics are considered for the convection-diffusion equation. Those are proved to be stable, but in a real computation some instability occurs. We reveal the cause of the discrepancy between theory and real computation, and present a remedy to the instability.
AB - Finite element schemes based on the method of characteristics are considered for the convection-diffusion equation. Those are proved to be stable, but in a real computation some instability occurs. We reveal the cause of the discrepancy between theory and real computation, and present a remedy to the instability.
KW - Characteristic finite element method
KW - Convection-diffusion equation
KW - Numerical integration error
KW - Stability
UR - http://www.scopus.com/inward/record.url?scp=33749663545&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33749663545&partnerID=8YFLogxK
U2 - 10.1016/j.cam.2005.08.042
DO - 10.1016/j.cam.2005.08.042
M3 - Article
AN - SCOPUS:33749663545
VL - 199
SP - 424
EP - 431
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
SN - 0377-0427
IS - 2
ER -