Meshless and Meshfree Methods, Encyclopedia of Applied and Computational Mathematics , Springer-Verlag, Berlin, Heidelberg, 886-894.Chen JS and Belytschko T. Meshless and meshfree methods. In Encycl. Appl. Comput. Math, Engquist B (ed). Springer-Verlag: Berlin, Heidelberg, 2015; 886-894....
The origin of meshfree methods (also called meshless methods) can be traced back to the generalized finite difference method [ 38 , 54 ] and the smoothed particle hydrodynamics (SPH) [ 24 , 56 ], in which the approximatio ... 展开 ...
Meshless/meshfree methodsare attractive alternatives to the finite element method, especially for problems involving material failure, dynamic fracture and fragmentation, large deformations, and complex volumetric domain parametrizations. The smoothed particle hydrodynamics (SPH) method (Lucy,1977; Gingold and...
Oh et al. developed several meshfree shape functions that have the Kronecker delta property. Boundary Element Methods (BEM) solve a boundary integral equation (BIE) which is equivalent to the PDE, thus reducing the dimensionality of the problem by one and the amount of computation when compared ...
Meshless Methods and Their Numerical Properties Meshless, or meshfree methods, which overcome many of the limitations of the finite element method, have achieved significant progress in numerical computations of a wide range of engineering problems. A comprehensive introduction to mes... L Hua,SS Mula...
Progress on Meshless Methods 2024 pdf epub mobi 电子书 图书描述 In recent years meshless/meshfree methods have gained considerable attention in engineering and applied mathematics. The variety of problems that are now being addressed by these techniques continues to expand and the quality of the resul...
The meshless methods do not require a connection between nodes of simulation domain, i.e., a mesh, but are rather based on the interaction of each node with all its neighbors. Meshfree methods enable the simulation of some difficult problems at the cost of extra computing time and programming...
Synonyms Element-free methods ; Meshfree methods ; Particle methods Definition Meshless methods belong to a class of techniques for solving boundary/initial value partial differential equations in which both geometry representation and numerical discretization are principally performed based on nodes or partic...
The least-Squares Meshfree Method A 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 me... Sang〩oon Park,SK Youn - 《International Journal for Numerical Methods in Engineering》 被引量: 103...
An introduction to meshfree methods and their programming 2005, An Introduction to Meshfree Methods and Their Programming The Finite Element Method Set 2005, The Finite Element Method Set The combined finite-discrete element method 2004, The Combined Finite-Discrete Element Method Cracking particles: A...