TY - JOUR
T1 - Characteristic stabilized finite element method for non-stationary conduction-convection problems
AU - Wang, Yongshuai
AU - Mahbub, Md Abdullah Al
AU - Zheng, Haibiao
N1 - Publisher Copyright:
© 2019, Emerald Publishing Limited.
PY - 2020/1/16
Y1 - 2020/1/16
N2 - Purpose: This paper aims to propose a characteristic stabilized finite element method for non-stationary conduction-convection problems. Design/methodology/approach: To avoid difficulty caused by the trilinear term, the authors use the characteristic method to deal with the time derivative term and the advection term. The space discretization adopts the low-order triples (i.e. P1-P1-P1 and P1-P0-P1 triples). As low-order triples do not satisfy inf-sup condition, the authors use the stability technique to overcome this flaw. Findings: The stability and the convergence analysis shows that the method is stable and has optimal-order error estimates. Originality/value: Numerical experiments confirm the theoretical analysis and illustrate that the authors’ method is highly effective and reliable, and consumes less CPU time.
AB - Purpose: This paper aims to propose a characteristic stabilized finite element method for non-stationary conduction-convection problems. Design/methodology/approach: To avoid difficulty caused by the trilinear term, the authors use the characteristic method to deal with the time derivative term and the advection term. The space discretization adopts the low-order triples (i.e. P1-P1-P1 and P1-P0-P1 triples). As low-order triples do not satisfy inf-sup condition, the authors use the stability technique to overcome this flaw. Findings: The stability and the convergence analysis shows that the method is stable and has optimal-order error estimates. Originality/value: Numerical experiments confirm the theoretical analysis and illustrate that the authors’ method is highly effective and reliable, and consumes less CPU time.
KW - Characteristic method
KW - Convergence analysis
KW - Non-stationary conduction–convection problems
KW - Stability analysis
KW - Stabilized method
UR - https://www.scopus.com/pages/publications/85071665246
U2 - 10.1108/HFF-04-2019-0318
DO - 10.1108/HFF-04-2019-0318
M3 - 文章
AN - SCOPUS:85071665246
SN - 0961-5539
VL - 30
SP - 625
EP - 658
JO - International Journal of Numerical Methods for Heat and Fluid Flow
JF - International Journal of Numerical Methods for Heat and Fluid Flow
IS - 2
ER -