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Characteristic stabilized finite element method for non-stationary conduction-convection problems
- Source :
- International Journal of Numerical Methods for Heat & Fluid Flow. 30:625-658
- Publication Year :
- 2019
- Publisher :
- Emerald, 2019.
-
Abstract
- 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.
- Subjects :
- Discretization
Computer science
Applied Mathematics
Mechanical Engineering
CPU time
010103 numerical & computational mathematics
Space (mathematics)
01 natural sciences
Stability (probability)
Finite element method
Computer Science Applications
Term (time)
010101 applied mathematics
Mechanics of Materials
Time derivative
Convergence (routing)
Applied mathematics
0101 mathematics
Subjects
Details
- ISSN :
- 09615539
- Volume :
- 30
- Database :
- OpenAIRE
- Journal :
- International Journal of Numerical Methods for Heat & Fluid Flow
- Accession number :
- edsair.doi...........5b63ee1f552e86ecbe8e3bd337b748d2