Meshfree Particle Methods

✍ Scribed by Professor Shaofan Li, Wing Kam Liu (auth.)

Publisher: Springer-Verlag Berlin Heidelberg
Year: 2004
Tongue: English
Leaves: 509
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages I-6
Introduction....Pages 7-24
Smoothed Particle Hydrodynamics (SPH)....Pages 25-67
Meshfree Galerkin Methods....Pages 68-141
Approximation Theory of Meshfree Interpolants....Pages 142-186
Applications....Pages 187-275
Reproducing Kernel Element Method (RKEM)....Pages 276-332
Molecular Dynamics and Multiscale Methods....Pages 333-421
Immersed Meshfree/Finite Element Method and Applications....Pages 422-439
Other Meshfree Methods....Pages 440-452
Back Matter....Pages 453-502

✦ Subjects

Continuum Mechanics and Mechanics of Materials;Computational Mathematics and Numerical Analysis;Mathematical and Computational Physics;Appl.Mathematics/Computational Methods of Engineering

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