Affiliation:
1. University of São Paulo
Abstract
This paper aims in particular to do a case study of the numerical efficiency of the application of LSFEM (Least Squares Finite Element Method) in the solution of heat conduction problems in multi-connected domains. To demonstrate this study two cases (the first with exact solution for comparison of results) are presented in the same multi-connected geometry, of easy construction, to facilitate the comparison of the results of this paper with future studies of other researchers.
Publisher
Trans Tech Publications, Ltd.
Reference12 articles.
1. Bejan, A. Transferência de Calor, Editora Edgard Blücher Ltd., Brazil, 1996. in portuguese.
2. Arpaci, V. S. Conduction Heat Transfer. Addison-Wesley Publishing Company, 550p. (1966).
3. M. R. Vujicic and S. G. R. Brown. Iterative Solvers in the Finite Element Solution of Transient Heat Conduction. FME Transactions, vol. 32, pp.61-68. (2004).
4. De Campos, M. D., Romão, E. C., De Moura, L. F. M. A Finite-Difference Method of High-Order Accuracy for the Solution of Transient Nonlinear Diffusive-Convective Problem in Three Dimensions. Case Studies in Thermal Engineering, v. 3, pp.43-50, (2014).
5. Catabriga, L., Valli, A. M. P., Melotti, B. Z., Pessoa, L. M. and Coutinho, A. L. G. A. Performance of LCD iterative method in the finite element and finite difference solution of convection–diffusion equations. Commun. Numer. Meth. Engng, vol. 22, p.643–656. (2006).