By G. R. Liu
A suite of the papers from the court cases of the first Asian Workshop on Meshfree equipment held at the side of the second overseas convention on Structural balance & Dynamics (ICSSD02) on 16-18 December 2002 in Singapore. It includes 36 articles overlaying many of the subject matters within the swiftly constructing parts of meshfree tools and prolonged finite point tools (X-FEM). those issues contain area discretization, boundary discretization, mixed domain/boundary discretization, meshfree particle tools, collocation tools, X-FEM, and extra. Papers on matters relating to implementation and coding of meshfree tools also are provided. The parts of purposes of meshfree tools comprise fixing basic partial differential equations, the mechanics of solids and constructions, shrewdpermanent material/structures, soil-structures, fracture mechanics, fluid dynamics, influence, penetration, micro-fluidics, and so forth. additionally, strategies for box variable interpolation, resembling the relocating least squares (MLS) approximation, the purpose interpolation strategy (PIM), and radial PIM are pronounced.
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Extra info for Advances in Meshfree and X-Fem Methods: Proceedings of the 1st Asian Workshop on Meshfree Methods
In recent years, the MFS has also been widely used for problems in electrostatics. In particular. Ismail and Abu-Gammaz  apply the MFS to calculate the electric field resulting from high voltage transmission systems and Vlad et al  apply the MFS to calculate the electric field in plate-type electrostatic separators. , investigate the positioning of the singularities via a genetic algorithm, when the MFS is applied to elastostatics problems. The same authors study the positioning of both the singularities and the boundary points in the MFS for axisymmetric elastostatics problems in  using the same technique.
Golberg, C. S. Chen and M. Ganesh, Particular solutions of 3D Helmholtz-type equations using compactly supported radial basis functions, Engng. Anal. Boundary Elements 24 (2000) 539-547. M. J. , 1973. H. M. Ismail and A. R. Abu-Gammaz, Electric field and right-of-way analysis of Kuwait highvoltage transmission systems, Electr. Power Syst. Res. 50 (1999) 213-218. C. Kanali, H. Murase and N. Honami, Shape identification using a charge simulation retina model, Math. Comput. Simulation 48 (1998) 103-118.
R. (2002). Mesh Free Methods: Moving Beyond the Finite Element Method, CRC press, USA. R. T. (2001). A local radial point interpolation method (LR-PIM) for free vibration analyses of 2-D solids. J. of Sound and Vibration, 246(1), 29-46. Olea R. A. (1999). L. (1999). Interpolation of Spatial Data - Some Theory for Kriging, Springer, New York. Wang J. , Liu G. R. (2001) A Point Interpolation Meshless Method Based on Radial Basis Functions, Int. J Numer. Meth. , (revised). Wang J. , Liu G. , Wu Y.
Advances in Meshfree and X-Fem Methods: Proceedings of the 1st Asian Workshop on Meshfree Methods by G. R. Liu