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Meshfree Methods: A Comprehensive Review of Applications
International Journal of Computational Methods, 2018The meshfree methods in computational mechanics have been actively proposed and increasingly developed in order to overcome some drawbacks in the conventional numerical methods. Over past three decades meshfree methods have found their way into many different application areas ranging from classical astronomical problems to solid mechanics analysis ...
Sahil Garg, Mohit Pant
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The least‐squares meshfree method
International Journal for Numerical Methods in Engineering, 2001AbstractA new efficient meshfree method is presented in which the first‐order least‐squares method is employed instead of the Galerkin's method. In the meshfree methods based on the Galerkin formulation, the source of many difficulties is in the numerical integration. The current method, in this respect, has different characteristics and is expected to
Park, SH, Youn, SK Youn, Sung-Kie
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International Journal for Numerical Methods in Engineering, 2012
SUMMARYIn the present work, the spline‐based meshfree method (SBMFM) is presented. The SBMFM uses spline basis functions for field variables and boundary representation. Because of the inherent properties of splines, that is, NURBS (nonuniform rational B‐splines), the analysis domain used in the SBMFM has its own parametric domain. Unlike the classical
Kim, HJ Kim, Hyun-Jung +1 more
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SUMMARYIn the present work, the spline‐based meshfree method (SBMFM) is presented. The SBMFM uses spline basis functions for field variables and boundary representation. Because of the inherent properties of splines, that is, NURBS (nonuniform rational B‐splines), the analysis domain used in the SBMFM has its own parametric domain. Unlike the classical
Kim, HJ Kim, Hyun-Jung +1 more
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MESHFREE METHODS AND THEIR COMPARISONS
International Journal of Computational Methods, 2005In recent years, one of the hottest topics in computational mechanics is the meshfree or meshless method. Increasing number of researchers are devoting themselves to the research of the meshfree methods, and a group of meshfree methods have been proposed and used to solve the ordinary differential equations (ODEs) or the partial differential equations (
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A meshfree method: meshfree weak?strong (MWS) form method, for 2-D solids
Computational Mechanics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, G.R., Gu, Y.T.
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A consistently coupled isogeometric–meshfree method
Computer Methods in Applied Mechanics and Engineering, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Dongdong, Zhang, Hanjie
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