A boundary cloud method with a cloud-by-cloud polynomial basis

Engineering Analysis with Boundary Elements

Volumn 27, Issue 1, 2003, Pages 57-71

  Li, Gang ^a   Aluru, N R ^b  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b University of Illinois at Urbana Champaign   (United States)

Author keywords

Boundary cloud method; Cloud by cloud; Least squares approach; Meshless method; Polynomial basis

Indexed keywords

FAST FOURIER TRANSFORMS; INTERPOLATION; LEAST SQUARES APPROXIMATIONS; POLYNOMIALS;

BOUNDARY CLOUD METHOD (BCM);

BOUNDARY ELEMENT METHOD;

EID: 0037212878     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0955-7997(02)00110-8     Document Type: Article

References (22)

1. Li G., Aluru N.R. Boundary cloud method: a combined scattered point/boundary integral approach for boundary-only analysis. Comput Meth Appl Mech Engng. 191:(21/22):2002;2337-2370.
2. Kane J.H. Boundary element analysis in engineering continuum mechanics. 1994;Prentice-Hall, Englewood Cliffs, NJ.
3. Greengard L., Rokhlin V. A fast algorithm for particle simulations. J Comput Phys. 73:(2):1987;325-348.
4. Phillips J.R., White J.K. A precorrected-FFT method for electrostatic analysis of complicated 3-D structures. IEEE Trans Comput-Aid Des Integr Circuits Syst. 16:(10):1997;1059-1072.
5. Kapur S., Long D.E. IEEE Computer Aided Design, 1997, Digest of Technical Papers. IEEE Computer Aided Design, 1997, Digest of Technical Papers. 1997;IEE/ACM International Conference. p. 448-55.
6. Shrivastava V., Aluru N.R. A fast boundary cloud method for exterior 2-D electrostatics. Int J Numer Meth Engng. 2003.
7. Belytschko T., Krongauz Y., Organ D., Fleming M., Krysl P. Meshless methods: an overview and recent developments. Comput Meth Appl Mech Engng. 139:1996;3-47.
8. Li S., Liu W.K. Meshfree and particle methods and their applications. Appl Mech Rev. 55:2002;1-34.
9. Atluri S.N. The meshless local Petrov-Galerkin (MLPG) method. 2002;Tech Science Press.
10. Mukherjee Y.X., Mukherjee S. The boundary node method for potential problems. Int J Numer Meth Engng. 40:1997;797-815.
11. Chati M.K., Mukherjee S. The boundary node method for three-dimensional problems in potential theory. Int J Numer Meth Engng. 47:2000;1523-1547.
12. Chati M.K., Mukherjee S. The boundary node method for three-dimensional linear elasticity. Int J Numer Meth Engng. 46:1999;1163-1184.
13. Zhang J., Yao Z., Li H. A hybrid boundary node method. Int J Numer Meth Engng. 53:(4):2002;751-763.
14. Chen W. Symmetric boundary knot method. Engng Anal Bound Elem. 26:(6):2002;489-494.
15. Lancaster P., Salkauskas K. Surface generated by moving least squares methods. Math Comput. 37:1981;141-158.
16. Jackson J.D. Classical electrodynamics. 3rd ed: 1999;Wiley, New York.
17. Shi F., Ramesh P., Mukherjee S. On the application of 2D potential theory to electrostatic simulation. Commun Numer Meth Engng. 11:1995;691-701.
18. Onate E., Idelsohn S., Zienkiewicz O.C., Taylor R.L., Sacco C. A stabilized finite point method for analysis of fluid mechanics problems. Comput Meth Appl Mech Engng. 139:1996;315-346.
19. Aluru N.R., Li G. Finite cloud method: a true meshless technique based on a fixed reproducing kernel approximation. Int J Numer Meth Engng. 50:(10):2001;2373-2410.
20. Jin X.-Z., Li G., Aluru N.R. On the equivalence between least-squares and kernel approximation in meshless methods. Comput Model Engng Sci. 2:(4):2001;447-462.
21. Kapur S., Long DE. High-order Nyström schemes for efficient 3-D capacitance extraction. 38th International Conference on Computer-Aided Design, San Jose, CA, USA; 1998. p. 178-85.
22. Golub G.H., Van Loan C.F. Matrix computations. 1989;Johns Hopkins University Press, Baltimore MD.