Numerical treatment of domain integrals without internal cells in three-dimensional BIEM formulations

CMES - Computer Modeling in Engineering and Sciences

Volumn 6, Issue 6, 2004, Pages 525-535

  Ochiai, Yoshihiro ^a   Sladek, Vladimir ^b  

^a KINKI UNIVERSITY   (Japan)

^b INSTITUTE OF CONSTRUCTION AND ARCHITECTURE   (Slovakia)

Author keywords

Boundary Element Method; Domain integrals; Heat Conduction; Interpolation; Multiple Reciprocity Method; Polyharmonic functions

Indexed keywords

COMPUTATIONAL METHODS; HARMONIC ANALYSIS; HEAT CONDUCTION; INTEGRAL EQUATIONS; INTERPOLATION; PROBLEM SOLVING;

DOMAIN INTEGRALS; INTERNAL CELLS; MULTIPLE-RECIPROCACITY METHOD; POLYHARMONIC FUNCTIONS;

BOUNDARY ELEMENT METHOD;

EID: 11144285008     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (19)

1. Atluri, S. N. (2004): The Meshless Method (MLPG) for Domain & BIE Discretizations, Tech. Science Press, Forsyth, GA., 688 pages.
2. Atluri S. N.; Han Z. D.; Shen, S. (2003): Meshless Local Petrov-Galerkin (MLPG) Approaches for Solving the Weakly-Singular Traction & Displacement Boundary Integral Equations, CMES: Computer Modeling in Engineering & Sciences, Vol. 4, No. 5, pp. 507-518.
3. Atluri, S. N.; Shen S. (2002): The Meshless Local Petrov-Galerkin (MLPG) Method: A Simple Less-costly Alternative to the Finite Element and Boundary Element Methods, CMES: Computer Methods in Engineering & Sciences, Vol. 3, No. 1, pp. 11-52.
4. Brebbia, C. A.; Telles, J. C. F.; Wrobel, L. C. (1984): Boundary Element Techniques - Theory and Applications in Engineering, Springer - Verlag, Cpp.46-70.
5. Davis, P. J.; Rabinowitz, P. (1984): Methods of Numerical Integration, Academic Press, pp.344-417, London.
6. Dyn, N. (1987): Interpolation of Scattered Data by Radial Functions, in Topics in Multivariate Approximation, Eds. C.K Chui, L.L.Schumaker and F.I.Utreras, pp.47-61, Academic Press, London.
7. Han Z. D.; Atluri S. N. (2003): Truly Meshless Local Petrov-Galerkin (MLPG) Solutions of Traction & Displacement BIEs, CMES: Computer Modeling in Engineering & Sciences, Vol. 4, No. 6, pp. 665-678.
8. Liu, G. R. (2003): Mesh Free Methods, Moving Beyond the Finite Element Method. CRC Press, Boca Raton, pp. 1-691.
9. Nowak, A. J.; Neves, A. C. (1994): The Multiple Reciprocity Boundary Element Method, Computational Mechanics Publication, Southampton, Boston.
10. Ochiai, Y.; Sekiya, T. (1995): Steady Thermal Stress Analysis by Improved Multiple-Reciprocity Boundary Element Method, Journal of Thermal Stresses, Vol.18, No.6, pp.603-620.
11. Ochiai, Y.; Sekiya, T. (1996a): Steady Heat Conduction Analysis by Improved Multiple-Reciprocity Boundary Element Method, Engineering Analysis with Boundary Elements, Vol. 18, pp. 111-117.
12. Ochiai, Y. (1996b): Generation Method of Distributed Data for FEM Analysis, JSME International Journal, Vol.39, No.1 pp.93-98.
13. Ochiai, Y.; Yasutomi Z. (2000): Improved Method Generating a Free-Form Surface Using Integral Equations, Computer Aided Geometric Design, Vol.17, pp.233-245.
14. Ochiai, Y.; Kobayashi, T. (2001a): Initial Strain Formulation without Internal Cells for Elastoplastic Analysis by Triple-Reciprocity BEM, International Journal for Numerical Method in Engineering, 50, 1877-1892.
15. Ochiai, Y. (2001b): Engineering Analysis with Boundary Elements, Multidimensional Interpolation and Numerical Integration by Boundary Element Method, Vol.25, pp.697-704.
16. Ochiai, Y. (2001c): Steady Heat Conduction Analysis in Orthotropic Bodies by Triple-Reciprocity BEM, Computer Modeling in Engineering & Sciences, Vol.2, No.4, pp.435-445.
17. Ochiai, Y. (2001d): Solid Modeling Using Boundary Integral Equations, Geometric Modeling, Ed. F.Kimura, Kluwer, pp.209-220.
18. Partrige, P. W.; Brebbia, C. A.; Wrobel, L. C. (1991): The Dual Reciprocity Boundary Element Method, CMP.
19. Welch, W.; Witkin, A. (1992): Variational Surface Modeling, Computer Graphics, Vol.26, No.2, pp. 157-166.