A novel primal-mixed finite element approach for heat transfer in solids
Abstract
A new reliable primal-mixed finite element approach for the heat transfer analysis in solids, is examined in detail. The essential contribution is that both variables of interest, temperature and heat flux, are calculated simultaneously from the same system of finite element equations. In addition, as a novelty, continuity of the trial and test heat flux functions is enforced, to avoid the need for some a posteriori heat flux smoothing technique. In order to minimize the accuracy error and enable introduction of the flux constraints, tensorial character of the present finite element equations is fully respected. The proposed finite element is subjected to low and high order convergence and efficiency tests in steady state and transient heat transfer analysis, which enlighten its solvability, stability, accuracy and effectiveness, i.e. its reliability.
Keywords:
heat transfer / finite element method / mixed variational / solid mechanics / reliabilitySource:
Computational Mechanics, 2007, 39, 4, 367-379Publisher:
- Springer, New York
DOI: 10.1007/s00466-006-0034-0
ISSN: 0178-7675
WoS: 000243968400003
Scopus: 2-s2.0-33846219557
Institution/Community
Tehnološko-metalurški fakultetTY - JOUR AU - Mijuca, D. AU - Ziberna, A. AU - Međo, Bojan PY - 2007 UR - http://TechnoRep.tmf.bg.ac.rs/handle/123456789/1123 AB - A new reliable primal-mixed finite element approach for the heat transfer analysis in solids, is examined in detail. The essential contribution is that both variables of interest, temperature and heat flux, are calculated simultaneously from the same system of finite element equations. In addition, as a novelty, continuity of the trial and test heat flux functions is enforced, to avoid the need for some a posteriori heat flux smoothing technique. In order to minimize the accuracy error and enable introduction of the flux constraints, tensorial character of the present finite element equations is fully respected. The proposed finite element is subjected to low and high order convergence and efficiency tests in steady state and transient heat transfer analysis, which enlighten its solvability, stability, accuracy and effectiveness, i.e. its reliability. PB - Springer, New York T2 - Computational Mechanics T1 - A novel primal-mixed finite element approach for heat transfer in solids EP - 379 IS - 4 SP - 367 VL - 39 DO - 10.1007/s00466-006-0034-0 ER -
@article{ author = "Mijuca, D. and Ziberna, A. and Međo, Bojan", year = "2007", abstract = "A new reliable primal-mixed finite element approach for the heat transfer analysis in solids, is examined in detail. The essential contribution is that both variables of interest, temperature and heat flux, are calculated simultaneously from the same system of finite element equations. In addition, as a novelty, continuity of the trial and test heat flux functions is enforced, to avoid the need for some a posteriori heat flux smoothing technique. In order to minimize the accuracy error and enable introduction of the flux constraints, tensorial character of the present finite element equations is fully respected. The proposed finite element is subjected to low and high order convergence and efficiency tests in steady state and transient heat transfer analysis, which enlighten its solvability, stability, accuracy and effectiveness, i.e. its reliability.", publisher = "Springer, New York", journal = "Computational Mechanics", title = "A novel primal-mixed finite element approach for heat transfer in solids", pages = "379-367", number = "4", volume = "39", doi = "10.1007/s00466-006-0034-0" }
Mijuca, D., Ziberna, A.,& Međo, B.. (2007). A novel primal-mixed finite element approach for heat transfer in solids. in Computational Mechanics Springer, New York., 39(4), 367-379. https://doi.org/10.1007/s00466-006-0034-0
Mijuca D, Ziberna A, Međo B. A novel primal-mixed finite element approach for heat transfer in solids. in Computational Mechanics. 2007;39(4):367-379. doi:10.1007/s00466-006-0034-0 .
Mijuca, D., Ziberna, A., Međo, Bojan, "A novel primal-mixed finite element approach for heat transfer in solids" in Computational Mechanics, 39, no. 4 (2007):367-379, https://doi.org/10.1007/s00466-006-0034-0 . .