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Meshfree, probabilistic determination of point sets and support regions for meshless computing. (English) Zbl 0993.65009
Summary: New algorithms are presented for the determination of point sets and associated support regions that can then be used in meshless computing methods. The algorithms are probabilistic in nature so that they are totally meshfree, i.e., they do not require, at any stage, the use of any coarse or fine boundary conforming or superimposed meshes. Computational examples are provided that show, for both uniform and non-uniform point distributions, that the algorithms result in high-quality point sets and high-quality support regions. Furthermore, the algorithms lend themselves well to parallelization.

MSC:
65C05 Monte Carlo methods
65Y05 Parallel numerical computation
65D18 Numerical aspects of computer graphics, image analysis, and computational geometry
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