A diagonal offset algorithm for the polynomial point interpolation method

KANBER B., Bozkurt O.

Communications in Numerical Methods in Engineering, cilt.24, sa.12, ss.1909-1922, 2008 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 12
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1002/cnm.1076
  • Dergi Adı: Communications in Numerical Methods in Engineering
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1909-1922
  • Anahtar Kelimeler: Basis functions, Mesh-free methods, Point interpolation method, Polynomial interpolation, Stress analysis
  • Samsun Üniversitesi Adresli: Hayır

Özet

A diagonal offset algorithm is presented to overcome the singular moment matrix problem in the polynomial point interpolation method. The value of terms in the diagonal line of moment matrix is changed with different offsets. The effects of the offsets on the Kronecker delta function and partition of unity properties are investigated and an optimum offset range is proposed. The algorithm is validated solving some patch tests and various elasticity problems in 2-D domain. Their results demonstrate that the proposed algorithm is very easy to implement and completely solves the singular moment matrix problem. The accuracy of the method with proposed algorithm is investigated for regular and irregular local domains. Copyright © 2007 John Wiley & Sons, Ltd.