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Meshfree Generalized Multiscale Finite Element Method
Journal of Computational Physics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Conforming local meshfree method
International Journal for Numerical Methods in Engineering, 2010AbstractThis work is motivated by the current numerical limitation in multiscale simulation of ductile fracture processes at scale down to the microstructure size and aims to overcome the difficulties in 3D complicated mesh generation and locally extremely large strain analysis (local mesh distortion).
Tian, Rong, To, Albert C., Liu, Wing Kam
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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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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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Meshfree Methods for Dynamic Fracture
Computational Technology Reviews, 2010This paper presents an overview of meshfree methods with respect to their application to dynamic fracture. Different modelling techniques for discrete cracks in meshfree methods are described. Furthermore, difficulties when dynamic fracture occurs under large deformations and fluid-structure interaction are discussed and some opportunities on how to ...
T. Rabczuk, S. Bordas, H. Askes
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