Boundary knot method for Poisson equations

Engineering Analysis with Boundary Elements

Volumn 29, Issue 8, 2005, Pages 756-760

  Chen, W ^a   Shen, L J ^a   Shen, Z J ^a   Yuan, G W ^a  

^a INSTITUTE OF APPLIED PHYSICS AND COMPUTATIONAL MATHEMATICS   (China)

Author keywords

Boundary knot method; General solution; Method of fundamental solution; Poisson equation; Radial basis function

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; FUNCTIONS; LAPLACE TRANSFORMS; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; POISSON EQUATION; PROBLEM SOLVING;

BOUNDARY KNOT METHOD; GENERAL SOLUTION; METHOD OF FUNDAMENTAL SOLUTION; RADIAL BASIS FUNCTIONS;

BOUNDARY ELEMENT METHOD;

EID: 22544448952     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2005.04.001     Document Type: Article

References (13)

1. S.N. Atluri, and T. Zhu New concepts in meshless methods Int J Numer Meth Eng 47 2000 537 556
2. Y.X. Mukherjee, and S. Mukherjee The boundary node method for potential problems Int J Numer Meth Eng 40 1997 797 815
3. G.R. Liu Meshfree methods - moving beyond the finite element method 2002 CRC Press Boca Raton, FL
4. M.A. Golberg, and C.S. Chen The method of fundamental solutions for potential, Helmholtz and diffusion problems M.A. Golberg Boundary integral methods - numerical and mathematical aspects 1998 Computational Mechanics Publications Southampton 103 176
5. X. Zhang, X.H. Liu, K.Z. Song, and M.W. Lu Least-square collocation meshless method Int J Numer Meth Eng 51 9 2001 1089 1100
6. W. Chen, and M. Tanaka A meshless, exponential convergence, integration-free, and boundary-only RBF technique Comput Math Appl 43 2002 379 391
7. J.T. Chen, M.H. Chang, K.H. Chen, and S.R. Lin The boundary collocation method with meshless concept for acoustic eigenanalysis of two-dimensional cavities using radial basis function J Sound Vibr 257 4 2002 667 711
8. J.T. Chen, M.H. Chang, I.L. Chung, and Y.C. Cheng Comment on 'Eigenmode analysis of arbitrarily shaped two-dimensional cavities by the method of point matching' J Acoust Soc Am 111 1 2002 33 36
9. J.T. Chen, M.H. Chang, K.H. Chen, and I.L. Chen Boundary collocation method for acoustic eigenanalysis of three-dimensional cavities using radial basis function Comput Mech 29 2002 392 408
10. P.W. Partridge, C.A. Brebbia, and L.W. Wrobel The dual reciprocity boundary element method 1992 Computational Mechanics Publications Southampton
11. M. Itagaki Higher order three-dimensional fundamental solutions to the Helmholtz and the modified Helmholtz equations Eng Anal Bound Elem 15 1995 289 293
12. W. Chen Symmetric boundary knot method Eng Anal Bound Elem 26 6 2002 489 494
13. Y.C. Hon, and W. Chen Boundary knot method for 2D and 3D Helmholtz and convection-diffusion problems with complicated geometry Int J Numer Meth Eng 56 13 2003 1931 1948