Abstract
The paper contains the presentation of a certain algorithm which can be used in numerical modelling of thermal diffusion problems-in particular in a case of nonhomogeneous domains. The method constitutes a composition of the finite element method (for the first domain) and the boundary element method (for the second domain). The way of these methods joining results from the heat flux continuity condition assumed on the contact surface. As will be shown, this approach essentially decreases the number of unknown parameters (the number of equations in final resolving system). The description of the algorithm is supplemented by the examples illustrating the possibilities of its application.
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References
Bolkowski, S. 1993: Computer Methods of Electromagnetic Field Analysis, WNT, Warsaw
Brebbia, C. A.; Telles, J. C. F.; Wrobel, L. C. 1984: Boundary Element Techniques, Berlin, New York, Tokyo, Springer-Verlag
Cody, W. J.; Thacher, H. C. 1968: Rational Chebyshev approximations for exponential integral Ei(x), Mathematics J. Computations 22, 103: 641–649
Majchrzak, E. 1991: Application of the BEM in the Thermal Theory of Foundary, Publ. of the Sil. Techn. Univ., Mechanics 102, Gliwice
Majchrzak, E.; Mendakiewicz, J. 1995: Numerical analysis of cast iron solidification process, J. Mat. Process. Techn. 53, Elsevier; 295–292
Mendakiewicz, J. 1995: Simulation of Cast Iron Solidification Process, Doctor's Thesis, Gliwice
Mochnacki, B.; Suchy, J. S. 1995: Numerical Methods in Computations of Foundry Processes, Polish Foundrymen's Technical Association, Cracow
Mochnacki, B.; Suchy, J. S. 1993: Modelling and Simulation of Casting Solidification, PWN, Warsaw
Szargut, J. 1977: Numerical Methods in Thermal Calculations of Industrial Furnaces, Sląsk, Katowice
Tai-Ran Hsu 1994: The Finite Element Method in Thermomechanics, Allen and Unwin, Boston, London, Sydney
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Communicated by T. Cruse, 8 January 1996
This research work has been supported by KBN (Grant No 3 P404 038 07).
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Majchrzak, E. Application of combined BEM-FEM algorithm in numerical modelling of diffusion problems. Computational Mechanics 18, 55–61 (1996). https://doi.org/10.1007/BF00384176
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DOI: https://doi.org/10.1007/BF00384176