Moving finite element method: Applications to science and engineering problems

Computers and Chemical Engineering

Volumn 28, Issue 5, 2004, Pages 597-603

  Coimbra, Maria Do Carmo ^a   Sereno, Carlos ^a   Rodrigues, Alírio ^a  

^a UNIVERSITY OF PORTO   (Portugal)

Author keywords

Moving finite elements; Moving grid; Partial differential equations (PDE); Time dependent reaction diffusion convection

Indexed keywords

DIFFUSION; FINITE ELEMENT METHOD; NUMERICAL ANALYSIS; POLYNOMIAL APPROXIMATION; PROBLEM SOLVING; SPACE APPLICATIONS; SUSTAINABLE DEVELOPMENT;

DIFFUSION-CONVENTION PROBLEMS; MOVING FINITE ELEMENT METHOD (MFEM); SPACE DOMAINS;

CHEMICAL ENGINEERING;

COMPUTER;

ANALYTIC METHOD; CHEMICAL ENGINEERING; CONFERENCE PAPER; DIFFUSION; FINITE ELEMENT ANALYSIS; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; MOLECULAR DYNAMICS; MOLECULAR INTERACTION; MOLECULAR MECHANICS; REACTION ANALYSIS; THERMODYNAMICS;

EID: 1842840172     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compchemeng.2004.02.004     Document Type: Conference Paper

References (18)

1. Baines, M. J. (1994). Moving finite elements. Oxford University Press.
2. Coimbra, M. C., Sereno, C., & Rodrigues, A. E. (2000). Modelling multicomponent adsorption process by a moving finite element method. Journal of Computational and Applied Mathematics, 115, 169-179.
3. Coimbra, M. C., Sereno, C., & Rodrigues, A. E. (2001). Applications of a moving finite elements method. Chemical Engineering Journal, 84, 23-29.
4. Coimbra, M. C., Sereno, C., & Rodrigues, A. E. (2003). A moving finite element method for the solution of two-dimensional time-dependent models. Applied Numerical Mathematics, 44, 449-469.
5. Ferreira L., Castro J.A., Rodrigues A.E. An analytical and experimental study of heat transfer in fixed bed. International Journal of Heat and Mass Transfer. 45(5):2002;951-961.
6. Ferreira L., Rodrigues A.E. Adsorptive separation by thermal parametric pumping. Part II. Experimental study of the purification of aqueous phenolic solutions at pilot scale. Adsorption Journal. 1:1995;233-252.
7. Hindmarsh A.C. LSODE and LSODI, two initial value ordinary differential equations solvers. ACM-SIGNUM Newsletters. 15:1980;10-15.
8. Miller K. Moving finite elements (Part II). SIAM Journal of Numerical Analysis. 18:1981;1033-1057.
9. Miller K., Miller R.N. Moving finite elements (Part II). SIAM Journal of Numerical Analysis. 18:1981;1019-1032.
10. Quinta-Ferreira, R. (1988). Contribuição para o estudo de reactores catalíticos em leito fixo: Efeito da convecção em catalisadores de poros largos e casos de catalisadores bidespersos. Ph.D. Thesis, FEUP, University of Porto (in Portuguese).
11. Quinta-Ferreira R., Costa A.C., Rodrigues A.E. Dynamical Behaviour of fixed-bed reactors with large-pore catalysts: A bidimensional heterogeneous diffusion-convection model. Computer and Chemical Engineering. 16(8):1992a;721-751.
12. Quinta-Ferreira R., Costa A.C., Rodrigues A.E. Effect of intraparticle convection on the transient behavior of fixed-bed reactors: Finite differences and collocation methods for solving unidimensional models. Computer and Chemical Engineering. 20(10):1992b;1201-1225.
13. Rodrigues A.E., Quinta-Ferreira R. Convection, diffusion and reaction in a large-pore catalyst particle. American Institute of Chemical Engineering Journal of Symposium Series. 84:1988;80-87.
14. Rodrigues A.E., Quinta-Ferreira R. Effect of intraparticle on the steady-state behavior of a fixed-bed catalytic reactors. Chemical Engineering and Science. 45(8):1990;2653-2660.
15. Sereno, C. (1989). Método dos elementos finitos móveis: Aplicações em engenharia química. Ph.D. Thesis, FEUP, University of Porto (in Portuguese).
16. Sereno, C., Rodrigues, A. E., & Villadsen, J. (1991). The moving finite element method with polynomial approximations of any degree. Computer and Chemical Engineering, 15 (1), 25-33.
17. Sereno, C., Rodrigues, A. E., & Villadsen, J. (1992). Solutions of partial differential equations systems by the moving finite element method. Computer and Chemical Engineering, 16 (6), 583-592.
18. Verwer, J. G., Blom, J. G., & Sanz-Serna, J. M. (1981). An adaptive moving grid method for one-dimensional systems of partial differential equations. Journal of Computational Physics, 83 (2), 454-486.