References
- Gingold, R. A. and Monaghan, J. J., 1977, 'Smoothed Particle Hydrodynamics: Theory and Application to Non-spherical Stars,' Mon. Not. Roy. Astron. Soc., Vol. 181, pp.375-389 https://doi.org/10.1093/mnras/181.3.375
- Belytschko, T., Yu, Y. Y. and Gu, L., 1994, 'Element-Free Galerkin Methods,' Int. J. Numer. Methods Engrg., Vol. 37, pp. 229-256 https://doi.org/10.1002/nme.1620370205
- Liu, W. K., Jun, S. and Zhang, Y. F., 1995, 'Reproducing Kernel Particle Methods,' Int. J. Numer. Methods in Fluids, Vol. 20, pp. 1081-1106 https://doi.org/10.1002/fld.1650200824
- Duarte, C. A. and Oden, J. T., 1996, 'Hp-Cloud - A Meshless Method to Solve Boundary-Value Problems,' Comput. Methods Appl. Mech. Engrg., Vol. 139, pp. 237-262 https://doi.org/10.1016/S0045-7825(96)01085-7
- Babuska, I. and Melenk, J. M., 1997, 'The Partition of Unity Method,' Int. J. Numer. Methods Engrg., Vol. 40, pp. 727-758. https://doi.org/10.1002/(SICI)1097-0207(19970228)40:4<727::AID-NME86>3.0.CO;2-N
- Atluri, S. N. and Zhu, T., 1998, 'A New Meshless Local Petrov-Galerkin (MLPG) Approach in Computational Mechanics,' Comput. Mech., Vol. 22, pp. 117-127 https://doi.org/10.1007/s004660050346
- Liu, G. R. and Tu, Z. H., 2002, 'An Adaptive Procedure Based on Background Cells for Meshless Methods,' Comput. Methods Appl. Meeh. Engrg., Vol. 191, pp.1923-1943 https://doi.org/10.1016/S0045-7825(01)00360-7
- Atluri, S. N., Kim, H.-G. and Cho, J. Y., 1999, 'A Critical Assessment of the Truly Meshless Local Petrov-Galerkin (MLPG), and Local Boundary Integral Equation (LBIE) Methods,' Comput. Mech., Vol. 24, pp. 348-372 https://doi.org/10.1007/s004660050457
- Oden, J. T., Duarte, C. A. M. and Zienkiewicz, O. C., 1998, 'A New Cloud-based Hp Finite Element Method,' Comput. Methods Appl. Mech. Engrg., Vol. 153, pp. 117-126 https://doi.org/10.1016/S0045-7825(97)00039-X
- Liu, W. K., Uras, R. A. and Chen, Y., 1998, 'Enrichment of the Finite Element Method with the Reproducing Kernel Particle Method,' J. Appl. Mech. ASME, Vol. 64, pp. 861-870 https://doi.org/10.1115/1.2788993
- Yeon Jeoung-Heum, Youn Sung-Kie, 2004, 'Meshfree Analysis of Elasto-Plastic Deformation Using Variational Multiscale Method,' Trans. of KSME A, Vol. 28, No. 8, pp. 1196-1202 https://doi.org/10.3795/KSME-A.2004.28.8.1196
- Park Sang-Hoon, Kwon Kie-Chan, Youn Sung-Kie, 2002, 'A Study on the Adaptive Scheme Using Least-Squares Meshfree Method,' Trans. of KSME A, Vol. 26, No. 9, pp. 1849-1858 https://doi.org/10.3795/KSME-A.2002.26.9.1849
- Belytschko, T., Krongauz, Y., Organ, D., Fleming, M. and Krysl, P., 1996, 'Meshless Methods: An Overview and Recent Developments,' Comput. Methods Appl. Mech. Engrg., Vol. 139, pp. 3-47 https://doi.org/10.1016/S0045-7825(96)01078-X
- Dolbow, J and Belytschko, T., 1999, 'Numerical integration of the Galerkin weak form in meshless methods,' Comput. Mech., Vol. 23, pp. 219-230 https://doi.org/10.1007/s004660050403
- Song Taehan, Seog Byungho, Lim Jangkeun, 2001, 'Improvement Scheme of Nodal Integration in Meshless Method ),' Trans. of KSME A, Vol. 25, No. 9, pp. 1376-1383
- Cho, J. Y. and Jee, Y. B., 2003, 'An Adaptive Meshindependent Numerical Integration for Meshless Local Petrov-Galerkin Method,' KSME International Journal, Vol. 17, pp. 986-998
- Timoshenko, S. P. and Goodier, J. N., 1970, Theory of Elasticity. 3rd Edn. McGraw-Hill, New York