References

• 1. 1)
     • 2. Rastkara, S., Zahedib, M., Koroleva, I., et al: ‘A meshfree approach for homogenization of mechanical properties of heterogeneous materials’, Eng. Anal. Bound. Elem., 2017, 75, pp. 79–88.
  2. 2)
     • 11. Belytschko, T, L.U., Gu, T.: ‘Element-free Galerkin methods’, Int. J. Numer. Methods Eng., 1994, 37, pp. 229–256.
  3. 3)
     • 4. Zehui, L., Wei, H., Fan, Y., et al: ‘A simple and efficient local Petrov-Galerkin meshless method and its application’, Int. J. Appl. Electromagn. Mech., 2013, 44, (1), pp. 115–123.
  4. 4)
     • 9. Lancaster, P., Salkauska, K.: ‘Surfaces generated by moving least-squares methods’, Math. Comput., 1981, 37, pp. 141–158.
  5. 5)
     • 3. Kumar, V., Drathi, R.: ‘A meshless cracking particles approach for ductile fracture’, KSCE J. Civil Eng., 2016, 20, (6), pp. 2586–2586.
  6. 6)
     • 16. Arehpanahi, M., Vahedi, O.: ‘Modified weight function with automatic node generation in element-free Galerkin method for magnetic field computation’, IET Sci., Measure. Technol., 2015, 9, (8), pp. 1043–1049.
  7. 7)
     • 8. Coppoli, E., Mesquita, H., Silva, R.: ‘Induction machines modeling with meshless methods’, IEEE Trans. Magn., 2012, 48, (2), pp. 847–850.
  8. 8)
     • 14. Zhou, G., Zhao, W., Xiang, S.: ‘Shape parameter optimization of Gaussian radial basis function using genetic algorithm for natural frequencies of laminated composite plates’, Appl. Mech. Mater., 2015, 709, pp. 153–156.
  9. 9)
     • 7. Okuda, H., Nagashima, T., Yagawa, G.: ‘Basic study on element-free Galerkin method (1st report, application to ordinary differential equation) and (2st report, application to two-dimensional potential problems)’, Trans. Jpn Soc. Mech. Eng. A, 1996, 62, (599), pp. 1746–1753.
  10. 10)
      • 17. Huaiqing, Z., Chunxian, G., Xiangfeng, S., et al: ‘Shape parameter selection for multi-quadrics function method in solving electromagnetic boundary value problems’, COMPEL: Int. J. Comput. Math. Electr. Electron. Eng., 2016, 35, (1), pp. 64–79.
  11. 11)
      • 13. Cingoski, V., Miyamoto, N., Yamashita, H.: ‘Hybrid element-free Galerkin-finite element method for electro-magnetic field computations’, IEEE Trans. Magn., 2000, 36, (4), pp. 1543–1547.
  12. 12)
      • 5. Kamranian, M., Dehghan, M., Tatari, M.: ‘An adaptive meshless local Petrov–Galerkin method based on a posteriori error estimation for the boundary layer problems’, Appl. Numer. Math., 2017, 111, pp. 181–196.
  13. 13)
      • 1. Rahmani, A., Afshar, H.: ‘Discrete least squares meshless (DLSM) method for simulation of steady state shallow water flows’, Scientia Iranica, 2011, 18, (4), pp. 835–845.
  14. 14)
      • 10. Nayroles, B., Touzot, G., Villon, P.: ‘Generalizing the finite element method: diffuse approximation and diffuse elements’, Comput. Mech., 1992, 10, pp. 307–318.
  15. 15)
      • 6. Trask, N., Maxey, M., Xiaozhe, H.: ‘Compact moving least squares: an optimization framework for generating high-order compact meshless discretizations’, J. Comput. Phys., 2016, 326, pp. 596–611.
  16. 16)
      • 12. Belytschko, T, L.U., Gu, T.: ‘A new implementation of the element free Galerkin method’, Comput. Methods Appl. Mech. Eng., 1994, 113, pp. 397–414.
  17. 17)
      • 15. Yoshikazu, T., Sho, W., Takuya, O.: ‘Study of eddy current analysis by a meshless method using RPIM’, IEEE Trans. Magn., 2015, 51, (3), pp. 1–4.