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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.
Jiun-Shyan Chen +3 more
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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 ...
Garg, Sahil, Pant, Mohit
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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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Meshfree Methods and Their Classification
2015Son yirmi yıl içinde birçok ağsız yöntem geliştirilmiş ve bu yöntemlerden bazıları zaman içerisinde kayda değer ilerlemeler göstermişlerdir. Bu çalışmada son zamanlarda geliştirilmekte olan nümerik metotlardan ağsız yöntemler hakkında temel bilgiler verilmiştir.
Pekedis, Mahmut, Yıldız, Hasan
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An adaptive‐hybrid meshfree approximation method
International Journal for Numerical Methods in Engineering, 2011SUMMARYIt is now commonly agreed that the global radial basis functions (GRBF) method is an attractive approach for approximating smooth functions. This superiority does not come free; one must find ways to circumvent the associated problem of ill‐conditioning and the high computational cost for solving dense matrix systems.
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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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A review on connection between meshfree peridynamics and meshfree methods
AIP Conference Proceedings, 2021Mas Irfan P. Hidayat +2 more
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A coupled extended meshfree–smoothed meshfree method for crack growth simulation
Theoretical and Applied Fracture Mechanics, 2020Wenshuai Wang
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Evaluation of fracture parameters in cracked plates using an extended meshfree method
Engineering Fracture Mechanics, 2021Thien Tich Truong +2 more
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