Application of meshless local radial point interpolation (MLRPI) on a one-dimensional inverse heat conduction problem

作者: Elyas Shivanian , Hamid Reza Khodabandehlo

DOI: 10.1016/J.ASEJ.2015.07.009

关键词:

摘要: Abstract In this paper, the meshless local radial point interpolation (MLRPI) method is applied to one-dimensional inverse heat conduction problems. The LRPIM one of truly methods since it does not require any background integration cells. case, all integrations are carried out locally over small quadrature domains regular shapes, such as lines in dimensions, circles or squares two dimensions and spheres cubes three dimensions. A technique proposed construct shape functions using basis functions. These which constructed by have delta function property. time derivatives approximated time-stepping method. Numerical experiments compared with implicit Finite difference

参考文章(45)
Gregory F. Fasshauer, Meshfree Approximation Methods with MATLAB ,(2007)
Nicolas Ali Libre, Arezoo Emdadi, Mohammad Shekarchi, Mohammad Rahimian, Edward J. Kansa, A Fast Adaptive Wavelet Scheme in RBF Collocation for Nearly Singular Potential PDEs Cmes-computer Modeling in Engineering & Sciences. ,vol. 38, pp. 263- 284 ,(2008) , 10.3970/CMES.2008.038.263
Y. T. Gu, G. R. Liu, A boundary point interpolation method for stress analysis of solids Computational Mechanics. ,vol. 28, pp. 47- 54 ,(2002) , 10.1007/S00466-001-0268-9
Paul W. Cleary, Modelling confined multi-material heat and mass flows using SPH Applied Mathematical Modelling. ,vol. 22, pp. 981- 993 ,(1998) , 10.1016/S0307-904X(98)10031-8
Maithili Sharan, E.J. Kansa, Suman Gupta, Application of the multiquadric method for numerical solution of elliptic partial differential equations Applied Mathematics and Computation. ,vol. 84, pp. 275- 302 ,(1997) , 10.1016/S0096-3003(96)00109-9
D.A. Hu, S.Y. Long, K.Y. Liu, G.Y. Li, A modified meshless local Petrov-Galerkin method to elasticity problems in computer modeling and simulation Engineering Analysis With Boundary Elements. ,vol. 30, pp. 399- 404 ,(2006) , 10.1016/J.ENGANABOUND.2005.12.002
Leevan Ling, Robert Schaback, Stable and Convergent Unsymmetric Meshless Collocation Methods SIAM Journal on Numerical Analysis. ,vol. 46, pp. 1097- 1115 ,(2008) , 10.1137/06067300X
S. N. Atluri, Tulong Zhu, New concepts in meshless methods International Journal for Numerical Methods in Engineering. ,vol. 47, pp. 537- 556 ,(2000) , 10.1002/(SICI)1097-0207(20000110/30)47:1/3<537::AID-NME783>3.0.CO;2-E
Y. T. Gu, G. R. Liu, A meshless local Petrov-Galerkin (MLPG) method for free and forced vibration analyses for solids Computational Mechanics. ,vol. 27, pp. 188- 198 ,(2001) , 10.1007/S004660100237