Results 131 to 140 of about 383 (176)
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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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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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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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2004
The aim of this chapter is to provide an in-depth presentation and survey of meshfree particle methods. Several particle approximations are reviewed; the SPH method, corrected gradient methods and the moving least squares (MLS) approximation. The discrete equations are derived from a collocation scheme or a Galerkin method. Special attention is paid to
Huerta, Antonio +3 more
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The aim of this chapter is to provide an in-depth presentation and survey of meshfree particle methods. Several particle approximations are reviewed; the SPH method, corrected gradient methods and the moving least squares (MLS) approximation. The discrete equations are derived from a collocation scheme or a Galerkin method. Special attention is paid to
Huerta, Antonio +3 more
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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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A meshfree method for elasticity problems with interfaces
Applied Mathematics and Computation, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nuno F. M. Martins, Magda Rebelo
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LEAST-SQUARES MESHFREE COLLOCATION METHOD
International Journal of Computational Methods, 2012A least-squares meshfree collocation method is presented. The method is based on the first-order differential equations in order to result in a better conditioned linear algebraic equations, and to obtain the primary variables (displacements) and the dual variables (stresses) simultaneously with the same accuracy.
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