Particular solutions of the multi-Helmholtz-type equation

Engineering Analysis with Boundary Elements

Volumn 31, Issue 7, 2007, Pages 624-630

  Muleshkov, A S ^a   Golberg, M A ^b  

^a UNIVERSITY OF NEVADA   (United States)

^b NONE   (United States)

Author keywords

Bi Bessel functions; Multi Helmholtz equation; Particular solution; Plate vibration; Radial basis function

Indexed keywords

APPROXIMATION THEORY; NUMERICAL METHODS; PROBLEM SOLVING; RADIAL BASIS FUNCTION NETWORKS;

BI-BESSEL FUNCTIONS; MULTI-HELMHOLTZ EQUATION; PARTICULAR SOLUTION; PLATE VIBRATION; RADIAL BASIS FUNCTION;

HELMHOLTZ EQUATION;

EID: 34249710314     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2006.11.008     Document Type: Article

References (10)

1. Golberg M.A., and Chen C.S. The method of fundamental solutions for potential, Helmholtz and diffusion problems. In: Golberg M.A. (Ed). Boundary integral methods: numerical and mathematical Aspects (1998), WIT Press and Computational Mechanics Publications, Boston, Southhampton 103-176
2. Poullikkas A., Karageorghis A., and Georgiou G. The method of fundamental solutions for inhomogeneous elliptic problems. Comput Mech 22 (1998) 100-107
3. Atkinson K.E. The numerical evaluation of particular solutions for Poisson's equation. IMA J Numer Anal 5 (1985) 319-338
4. Golberg M.A., Muleshkov A.S., Chen C.S., and Cheng A.H.-D. Polynomial particular solutions for some partial differential operators. Numer Meth Partial Differential Equations 19 (2003) 112-133
5. Muleshkov A.S., Golberg M.A., and Chen C.S. Particular solutions of Helmholtz-type operators using higher order polyharmonic splines. Comput Mech 23 (1999) 411-419
6. Chen J.T., Lin S.Y., Chen K.H., and Chen I.L. Mathematical analysis and numerical study of true and spurious eigenequations for free vibration of plates using real-part BEM. Comput Mech 34 (2004) 165-180
7. Szilard R. Theory and analysis of plates (1973), Prentice-Hall p. 413
8. Cho H.A., Golberg M.A., Muleshkov A.S., and Li X. Trefftz methods for time dependent partial differential equations. Comput Mater Continua 1 1 (2004)
9. Nardini D., and Brebbia C.A. A new approach to free vibration analysis using boundary elements. In: Brebbia C.A. (Ed). Boundary element methods in engineering, Proceedings of the fouth International Seminar (1982), Springer-Verlag, Southhamption 312-326
10. Wroblewski A. T-complete functions for thin and thick plates on elastic foundation. Numer Meth Partial Differential Equations 21 (2005) 1-7