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Radial Basis Point Interpolation Method with Reordering Gauss Domains for 2D Plane Problems

Author

Listed:
  • Shi-Chao Yi
  • Fu-jun Chen
  • Lin-Quan Yao

Abstract

We present novel Gauss integration schemes with radial basis point interpolation method (RPIM). These techniques define new Gauss integration scheme, researching Gauss points (RGD), and reconstructing Gauss domain (RGD), respectively. The developments lead to a curtailment of the elapsed CPU time without loss of the accuracy. Numerical results show that the schemes reduce the computational time to 25% or less in general.

Suggested Citation

  • Shi-Chao Yi & Fu-jun Chen & Lin-Quan Yao, 2014. "Radial Basis Point Interpolation Method with Reordering Gauss Domains for 2D Plane Problems," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:219538
    DOI: 10.1155/2014/219538
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    References listed on IDEAS

    as
    1. Yang Cao & Jun-Liang Dong & Lin-Quan Yao, 2014. "A Modification of the Moving Least‐Squares Approximation in the Element‐Free Galerkin Method," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    2. Maryam Sarboland & Azim Aminataei, 2014. "On the Numerical Solution of One-Dimensional Nonlinear Nonhomogeneous Burgers’ Equation," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-15, April.
    3. H. Pirali & F. Djavanroodi & M. Haghpanahi, 2012. "Combined Visibility and Surrounding Triangles Method for Simulation of Crack Discontinuities in Meshless Methods," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    4. Yang Cao & Jun-Liang Dong & Lin-Quan Yao, 2014. "A Modification of the Moving Least-Squares Approximation in the Element-Free Galerkin Method," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-13, March.
    5. Maryam Sarboland & Azim Aminataei, 2014. "On the Numerical Solution of One‐Dimensional Nonlinear Nonhomogeneous Burgers’ Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    6. H. Pirali & F. Djavanroodi & M. Haghpanahi, 2012. "Combined Visibility and Surrounding Triangles Method for Simulation of Crack Discontinuities in Meshless Methods," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-16, November.
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