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Titlebook: Meshfree Particle Methods; Shaofan Li,Wing Kam Liu Textbook 2004 Springer-Verlag Berlin Heidelberg 2004 Computational mechanics.Finite Ele

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书目名称Meshfree Particle Methods
编辑Shaofan Li,Wing Kam Liu
视频video
概述First textbook-like publication about this new and powerful metho.Gives a well-founded introduction to the theory.Explains the application in various fields of mechanics.Includes supplementary materia
图书封面Titlebook: Meshfree Particle Methods;  Shaofan Li,Wing Kam Liu Textbook 2004 Springer-Verlag Berlin Heidelberg 2004 Computational mechanics.Finite Ele
描述.Meshfree Particle Methods. is a comprehensive and systematic exposition of particle methods, meshfree Galerkin and partitition of unity methods, molecular dynamics methods, and multiscale methods. Most theories, computational formulations, and simulation results presented are recent developments in meshfree methods. They were either just published recently or even have not been published yet, many of them resulting from the authors´ own research. The presentation of the technical content is heuristic and explanatory with a balance between mathematical rigor and engineering practice. It can be used as a graduate textbook or a comprehensive source for researchers, providing the state of the art on .Meshfree Particle Methods...
出版日期Textbook 2004
关键词Computational mechanics; Finite Elements; Galerkin method; Numerical techniques; Reproducing Kernel Elem
版次1
doihttps://doi.org/10.1007/978-3-540-71471-2
isbn_ebook978-3-540-71471-2
copyrightSpringer-Verlag Berlin Heidelberg 2004
The information of publication is updating

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Molecular Dynamics and Multiscale Methods,idging scale methods. In this chapter, some basic concepts and algorithmics of molecular dynamics are introduced first, and then the coupling between molecular dynamics and finite element methods or meshfree methods are discussed.
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Other Meshfree Methods,g nodes are only identified for nodal points, ., . ∈ ., not for arbitrary point . ∈ IR.. To define the nearest neigbbor and neighboring nodes for an arbitrary point in a domain of interests, we need the second-order Voronoi diagram
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Introduction,ctural mechanics. Today, finite element method (FEM) based computational mechanics, as a far-reaching field ranging from basic science over applied research to applications, plays a prominent role in technology advancement. Model-based simulations are changing the face of scientific and engineering
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Approximation Theory of Meshfree Interpolants,a valid meshfree discretization; second how to measure the quality of meshfree interpolation, third, how to measure the convergence of a meshfree Galerkin weak form. Overall, we are dealing with the theoretical foundation or mathematical structure of meshfree interpolation.
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Reproducing Kernel Element Method (RKEM),rend in improving the-state-of-the-art finite element technology (see Belytschko, Liu and Moran.) and meshfree technology (see Li and Liu. and Babuška, Banerjee, and Osborn.). In this chapter, we introduce and analyze a new method called the reproducing kernel element method (RKEM), which is constru
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