Advanced SearchSearch Tips
Least-Squares Meshfree Method and Integration Error
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
Least-Squares Meshfree Method and Integration Error
Park, Sang-Hun; Yun, Seong-Gi;
  PDF(new window)
Least-squares meshfree method is presented. Conventional meshfree methods based on the Galerkin formulation suffer from inaccurate numerical integration. Least-squares formulation exhibits rather different integration-related characteristics. It is demonstrated through numerical examples that least-squares formulation is much more robust to integration errors than the Galerkin's. Therefore efficient meshfree methods can be devised by combining very simple integration algorithms and least-squares formulation.
Least-Squares;Meshfree Method;Meshless Method;Moving Least-Squares;Integration Error;
 Cited by
최소 제곱 무요소법을 이용한 적응 기법에 관한 연구,박상훈;권기찬;윤성기;

대한기계학회논문집A, 2002. vol.26. 9, pp.1849-1858 crossref(new window)
최소 제곱 무요소법을 이용한 선형 탄성 변형 해석,권기찬;박상훈;윤성기;

대한기계학회논문집A, 2002. vol.26. 11, pp.2312-2321 crossref(new window)
Bending Analysis of Mindlin-Reissner Plates by the Element Free Galerkin Method with Penalty Technique,;;

Journal of Mechanical Science and Technology, 2003. vol.17. 1, pp.64-76
탄소성 최소 제곱 수식화와 이를 이용한 무요소법,윤성기;권기찬;

대한기계학회논문집A, 2005. vol.29. 6, pp.860-875 crossref(new window)
Belytschko, T., Lu, Y.Y. and Gu, L., 1994, 'Element-Free Galerkin Methods,' Int. J. Numer. Meth. Engng., Vol. 37, pp. 229-256 crossref(new window)

Liu, W.K., Jun, S. and Zhang, Y.F., 1995, 'Reproducing Kernel Particle Methods,' Int. J. Numer. Meth. Fluids, Vol. 20, pp. 1081-1106 crossref(new window)

Duarte, C.A. and Oden, J.T., 1995, 'Hp Clouds - A Meshless Method to Solve Boundary-Value Problems,' Technical Report 95-05, TICAM, University of Texas at Austin

Lancaster, P. and Salkauskas, K., 1981, 'Surfaces Generated by Moving Least-Squares Methods,' Mathematics of Computation, Vol. 37, pp. 141-158 crossref(new window)

Dolbow, J. and Belytschko, T., 1999, 'Numerical Integration of the Galerkin Weak Form in Meshfree Methods,' Computational Mechanics, Vol. 23 pp. 219-230 crossref(new window)

Beissel, S. and Belytschko, T., 1996, 'Nodal Integration of the Element-Free Gralerkin Method,' Comput. Methods Appl. Mech. Engrg., Vol. 139, pp. 49-74 crossref(new window)

Atluri, S.N. and Zhu, T., 1998, 'A New Meshless Local Petrov-Galerkin (MLPG) Approach in Computational Mechanics,' Computational Mechanics, Vol. 22, pp. 117-127 crossref(new window)

Onate, E., Zienkiewicz, O.C. and Taylor, R.L., 1996, 'A Finite Point Method in Computational Mechanics. Applications to Convective Transport and Fluid Flow,' Int. J. Numer. Meth. Engng., Vol. 39, pp. 3839-3866 crossref(new window)

Breitkopf, P., Touzot, G. and Villon, P., 2000, 'Double Grid Diffuse Collocation Method,' Computational Mechanics, Vol. 25, pp. 199-206 crossref(new window)

Jiang, B.N., 1998, 'The Least-Squares Finite Element Method - Theory and Applications in Computational Fluid Dynamics and Electromagnetics, Berlin, Spring-Verlag

박상훈, 2001, '최소 제곱 무요소법의 오차추정 및 적응적 기법에 관한 연구,' 한국과학기술원 박사학위논문