Accuracy comparison of control-volume and bubnov-galerkin finite-element methods for heat conduction problems

Numerical Heat Transfer, Part B: Fundamentals

Volumn 29, Issue 1, 1996, Pages 43-60

  Comini, G ^a   Malisan, M ^a   Manzan, M ^a  

^a UNIVERSITY OF UDINE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CALCULATIONS; ESTIMATION; FINITE ELEMENT METHOD; NUMERICAL METHODS; TEMPERATURE DISTRIBUTION;

BUBNOV-GALERKIN FINITE ELEMENT METHOD; CONTROL VOLUME FINITE ELEMENT METHOD; DISCRETIZATION PROCESS; NODAL HEAT TRANSFER RATES;

HEAT CONDUCTION;

EID: 0029777096     PISSN: 10407790     EISSN: 15210626     Source Type: Journal    
DOI: 10.1080/10407799608914973     Document Type: Article

References (13)

1. O. C. Zienkiewicz and R. L. Taylor, The Finite Element Method, 4th ed., vol. 1, McGraw-Hill, London, 1989.
2. S. V. Patankar, Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington, DC, 1980.
3. G. E. Scheneider and M. Zedan, Control Volume Based Finite Element Formulation of the Heat Conduction Equation, Progr. Astronaut. Aeronaut., vol. 86, pp. 305-327, 1983.
4. J. Banaszek, A Conservative Finite Element Method for Heat Conduction Problems, Int. J. Numer. Meth. Eng., vol. 20, pp. 2033-2050, 1984.
5. J. Banaszek, Comparison of Control Volume and Galerkin Finite Element Methods for Diffusion-Type Problems, Numer. Heat Transfer B, vol. 16, pp. 59-78, 1989.
6. O. C. Zienkiewicz and E. Onate, Finite Volume versus Finite Elements. Is There Really a Choice?, in P. Wriggers and W. Wagner (eds,), Nonlinear Computation Mechanics. State of the Art, Springer, Berlin, 1991.
7. S. R. Idelsohn and E. Onate, Finite Volumes and Finite Elements: Two Good Friends, Internal Rep. 26, Barcelona, 1993.
8. E. Onate, M. Cervera, and O. C. Zienkiewicz, A Finite Volume Format for Structural Mechanics, Int. J. Numer. Meth. Eng., vol. 37, pp. 181-201, 1994.
9. G. Comini and S. Del Giudice, A Physical Interpretation of Conventional Finite Element Formulations of Conduction-Type Problems, Int. J. Numer. Meth. Eng., vol. 32, pp. 559-569, 1991.
10. S. Ramadhyani and S. V. Patankar, Solution of the Poisson Equation: Comparison of the Galerkin and Control-Volume Methods, Int. J. Numer. Meth. Eng., vol. 15, pp. 1395-1402, 1980.
11. M. Malisan, Comparison between Finite Element and Control Volume Solutions of Conduction Problems (in Italian), Thesis in Civil Engineering, University of Udine, Italy, 1994.
12. S. Wolfram, Mathematica—A System for Doing Mathematics by Computer, 2d ed., Addision-Wesley, Redwood City, CA, 1991.
13. H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids, Clarendon Press, Oxford, 1988.