A note on true desingularisation of boundary integral methods for three-dimensional potential problems

Engineering Analysis with Boundary Elements

Volumn 33, Issue 6, 2009, Pages 796-801

  Klaseboer, Evert ^a   Fernandez, Carlos Rosales ^a   Khoo, Boo Cheong ^b,c  

^a INSTITUTE OF HIGH PERFORMANCE COMPUTING   (Singapore)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^c SINGAPORE MIT ALLIANCE   (Singapore)

Author keywords

4 rule; Diagonal terms of the influence matrices; Non singular three dimensional boundary integral method; Potential problem

Indexed keywords

BOUNDARY ELEMENT FORMULATIONS; DIAGONAL TERMS OF THE INFLUENCE MATRICES; FUNDAMENTAL SOLUTIONS; INTEGRAL IDENTITIES; MATRIX VECTORS; NON-SINGULAR THREE-DIMENSIONAL BOUNDARY INTEGRAL METHOD; OFF-DIAGONAL ELEMENTS; POTENTIAL PROBLEM;

THREE DIMENSIONAL;

EID: 62749104357     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2008.12.002     Document Type: Article

References (13)

1. Zhang Y.L., Yeo K.S., Khoo B.C., and Chong W.K. Simulation of three-dimensional bubbles using desingularized boundary integral method. Int J Numer Methods Fluids 31 (1999) 1311-1320
2. Cao Y., Schulz W.W., and Beck R.F. Three-dimensional desingularized boundary integral methods for potential problems. Int J Numer Methods Fluids 12 (1991) 785-803
3. Rosen D., and Cormack D.E. The continuation approach for singular and near-singular integration. Eng Anal Boundary Elem 13 (1994) 99-113
4. Monegato G., and Scuderi L. Numerical integration of functions with boundary singularities. J Comp Appl Math 112 (1999) 201-214
5. Wilkerson SA. A boundary integral approach to three dimensional underwater explosion bubble dynamics. PhD Thesis. Department of Mechanical Engineering, The Johns Hopkins University, Baltimore, Maryland, 1990.
6. Huang Q., and Cruse T.A. Some notes on singular integral techniques in boundary element analysis. Int J Numer Meth Eng 36 (1993) 2643-2659
7. Sladek V., and Sladek J. Singular integrals and boundary elements. Comput Methods Appl Mech Eng 157 (1998) 251-266
8. Liu Y.J., and Rudolphi T.J. New identities for fundamental solutions and their applications to non-singular boundary element formulations. Comp Mech 24 (1999) 286-292
9. Liu Y.J., and Rudolphi T.J. Some identities for fundamental solutions and their applications. Eng Anal Boundary Elem 8 (1991) 301-311
10. Yang S.A. On the singularities of Green's formula and its normal derivative, with an application to surface-wave-body interaction problems. Int J Numer Meth Eng 47 (2000) 1841-1864
11. Klaseboer E., Hung K.C., Wang C., Wang C.W., Khoo B.C., Boyce P., et al. Experimental and numerical investigation of the dynamics of an underwater explosion bubble near a resilient/rigid structure. J Fluid Mech 537 (2005) 387-413
12. Klaseboer E., Khoo B.C., and Hung K.C. Dynamics of an oscillating bubble near a floating structure. J Fluids Struct 21 (2005) 395-412
13. Wang Q.X. The evolution of a gas bubble near an inclined wall. Theoret Comput Fluid Dyn 12 (1998) 29-51