Identyfikatory
Warianty tytułu
Własności bezsiatkowej metody symulacji dyfuzji ze źródła skończonego
Języki publikacji
Abstrakty
The paper presents an analysis of the properties of a numerical algorithm of a diffusion simulation from a finite source based on a meshless numerical method. The simulation time dependencies and simulation errors have been presented. The range of parameters were indicated for which the method achieves physical results.
W pracy przedstawiono analizę właściwości algorytmu numerycznego symulacji dyfuzji ze źródła skończonego opartego o bezsiatkową metodę numeryczną. Wykazano zależności czasowe symulacji oraz przedstawiono błędy symulacji. Wskazano zakres parametrów, dla których metoda uzyskuje wyniki fizyczne.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
25--33
Opis fizyczny
Bibliogr. 29 poz., tab., wykr.
Twórcy
autor
- Institute of Computer and Information Systems, Faculty of Cybernetics, Military University of Technology, Kaliskiego Str. 2, 00-908 Warsaw, Poland, tdawidowicz@wat.edu.pl
Bibliografia
- [1] S. N. Atluri, S. Shen: The meshless local Petrov–Galerkin (MLPG) method: a simple and less-costly alternative to the finite element and boundary element methods. Comput. Model Eng. Sci. 3, 11–51 (2002).
- [2] S. N. Atluri, T. Zhu: A new meshless local Petrov–Galerkin (MLPG) approach in computational mechanics. Comput. Mech. 22, 117-127 (1998).
- [3] N. Benbouza, F. Z. Louai, N. Nait-Said: Application of Meshless Petrov Galerkin (MLPG) method in electromagnetic using Radial Basis Functions, PEMD 2008. 4th IET Conference, 650- 655 (2008).
- [4] A. Benoudjit, F. Z. Louai, N. Benbouza and S. Drid: Parametric analysis by the meshless local petrov galerkin (MLPG) approach applied to electromagnetic problems. Int. J. Electrical Power Eng., 1: 138-145, 2007.
- [5] Lu Huifen Jiang Hao: Application of meshless local Petrov-Galerkin methods in electromagnetics. Electrical Machines and Systems, ICEMS 2003, Sixth International Conference, vol. 2, 798-801 (2003).
- [6] S. N. Atluri, H.-G. Kim, J. Y. Cho: A critical assessment of the truly Meshless Local Petrov-Galerkin (MLPG), and Local Boundary Integral Equation (LBIE) methods. Computational Mechanics, 24, 348-372 (1999).
- [7] Bangti Jin, Yao Zheng: A meshless method for some inverse problems associated with the Helmholtz equation. Comput. Methods Appl. Mech. Eng. 195, 2270–2288 (2006).
- [8] J. Dolbow, T. Belytschko: An introduction to programming the meshless Element Free Galerkin method. Archives of Computational Methods in Engineering, 5, 207-241 (1998).
- [9] Gleber Nelson Marques, Jose Marcio Machado, Sergio Luis Lopes Verardi, Stephan Stephany, Airam Jonatas Preto: Interpolating EFGM for computing continuous and discontinuous electromagnetic fields. COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 26, 1411-1438 (2007).
- [10] S. L. Ho, Shiyou Yang, H. C. Wong, and Guangzheng Ni: A Meshless Collocation Method Based on Radial Basis Functions and Wavelets. IEEE Transactions on Magnetics, 40, 1021-1022 (2004).
- [11] Shiyou Yang, Guangzheng Ni, J. R. Cardoso, S. L. Ho, and J. M. Machado: A Combined Wavelet-Element Free Galerkin Method for Numerical Calculations of Electromagnetic Fields. IEEE Transactions on Magnetics, 39, 1413-1416 (2003).
- [12] S. L. Ho, Shiyou Yang, and H. C. Wong: Weak Formulation of Finite Element Method Using Wavelet Basis Functions. IEEE Transactions on Magnetics, 37, 3203-3207 (2001).
- [13] Y. Markchal: Some Meshless Methods For Electromagnetic Field Computations. IEEE Transactions on Magnetics, Vol. 34, 3351-3354 (1998).
- [14] S. L. Ho, S. Yang, J. M. Machado, and H. C. Wong: Application of a Meshless Method in Electromagnetics. IEEE Transactions on Magnetics, Vol. 37, 3198-3202 (2001).
- [15] Ph. Bouillarda, S. Suleaubb: Element-Free Galerkin solutions for Helmholtz problems: fomulation and numerical assessment of the pollution effect. Computer Methods in Applied Mechanics and Engineering, Vol. 162, 317-335 (1998).
- [16] T. Belytschko, Y. Krongauz, D. Organ, M. Fleming, P. Krysl: Meshless methods: An overview and recent developments. Computer Methods in Applied Mechanics and Engineering, 139, 3-47 (1996).
- [17] Vinh Phu Nguyena, Timon Rabczukb, Stéphane Bordasc, Marc Duflotd: Meshless methods: A review and computer implementation aspects. Mathematics and Computers in Simulation, Vol. 79, 763-813 (2008).
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- [21] J. Dolbow, T. Belytschko: Numerical integration of the Galerkin weak form in meshless methods. Computational Mechanics, 23, 219-230 (1999).
- [22] Shaofan Li, Dong Qian, Wing Kam Liu, and Ted Belytschko: A meshless contactdetection algorithm. Computer Methods in Applied Mechanics and Engineering, Vol. 190, Issues 24-25, 3271-3292, March 2001.
- [23] Liviu Marin: A meshless method for the numerical solution of the Cauchy problem associated with three-dimensional Helmholtz-type equations. Applied Mathematics and Computation, 165, 355-374 (2005).
- [24] Marjan Sterk, Borut Robic, and Roman Trobec: Mesh Free Method Applied to the Diffusion Equation, Parallel Numerics, 57-66 (2005).
- [25] J. Gawinecki, Z. Domański: Matematyka. Równania różniczkowe cząstkowe i metody ich rozwiązywania. Część II. Równiania różniczkowe i cząstkowe II-go rzędu i metody ich rozwiązywania. Skrypt WAT wewn. 2490/97.
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Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BWA1-0047-0004