Point interpolation collocation method for the solution of partial differential equations

Engineering Analysis with Boundary Elements

Volumn 30, Issue 7, 2006, Pages 598-609

  Liu, Xin ^a   Tai, K ^b  

^a ZHEJIANG UNIVERSITY   (China)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Collocation; Meshfree; Partial differential equations; PIM

Indexed keywords

ALGORITHMS; FINITE ELEMENT METHOD; INTERPOLATION; MATRIX ALGEBRA; NUMERICAL ANALYSIS; POLYNOMIALS; PROBLEM SOLVING;

COLLOCATION; MATRIX TRIANGULARIZATION ALGORITHM (MTA); MESHFREE; PIM;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 33744784270     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2005.12.003     Document Type: Article

References (10)

1. Liu G.R. Mesh free methods, moving beyond the finite element method (2002), CRC Press, Boca Raton
2. Liu G.R., and Gu Y.T. A point interpolation method for two-dimension solids. Int J Numer Methods Eng 50 (2001) 937-951
3. Liu GR, Gu YT. A matrix triangularization algorithm for point interpolation method. In: Weng Bangchun, editor. Proceedings of the Asia-Pacific vibration conference, November, Hangzhou, P.R. China; 2001. p. 1151-4.
4. Liszka T.J., Duarte C.A., and Tworzydlo W.W. Hp-Meshless cloud method. Comput Methods Appl Mech Eng 139 (1996) 263-288
5. Liu Xin. Radial point collocation method (RPCM) for solving convection-diffusion problems, Journal of Zhejiang University SCIENCE A, Vol. 7(6):1061-1067.
6. Onate E., Idelsohn S., Zienkiewicz O.C., and Taylor R.L. A finite point method in computational mechanics. Applications to convective transport and fluid flow. Int J Numer Methods Eng 39 (1996) 3839-3866
7. Balakrishnan K., and Ramachandran P. Osculatory interpolation in the method of fundamental solution for nonlinear Poisson problems. J Comput Phys 172 (2001) 1-18
8. Aluru N.R., and Li G. Finite cloud method: a true meshless technique based on a fixed reproducing kernel approximation. Int J Numer Methods Eng 50 (2001) 2373-2410
9. Lee C.K., Liu X., and Fan S.C. Local multiquadric approximation for solving boundary value problems. Comput Mech 30 (2003) 396-409
10. Liu Xin, Liu GR, Tai Kang, Lam KY. Radial basis point interpolation collocation method for 2-D solid problem. The second international conference on structural stability and dynamics, December 16-18, Singapore; 2002.