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On the method of finite spheres in applications: towards the use with ADINA and in a surgical simulator

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Abstract

 In this paper we report some recent advances regarding applications using the method of finite spheres; a truly meshfree numerical technique developed for the solution of boundary value problems on geometrically complex domains. First, we present the development of a preprocessor for the generation of nodal points on two-dimensional computational domains. Then, the development of a specialized version of the method of finite spheres using point collocation and moving least squares approximation functions and singular weight functions is reported for rapid computations in virtual environments involving multi-sensory (visual and touch) interactions.

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Authors and Affiliations

  1. Department of Mechanical, Aerospace and Nuclear Engineering, Rensselaer Polytechnic Institute, 110 8th Street, Troy, NY 12180, , , , , , US

    S. De

  2. Department of Mechanical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139, , , , , , MA

    J.-W. Hong & K. J. Bathe

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  1. S. De
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  2. J.-W. Hong
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  3. K. J. Bathe
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Dedicated to the memory of Prof. Mike Crisfield, for his cheerfulness and cooperation as a colleague and friend over many years.

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De, S., Hong, JW. & Bathe, K. On the method of finite spheres in applications: towards the use with ADINA and in a surgical simulator. Computational Mechanics 31, 27–37 (2003). https://doi.org/10.1007/s00466-002-0390-3

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  • DOI: https://doi.org/10.1007/s00466-002-0390-3

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