Meshfree Particle Methods

Description

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. 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