Advances in Meshfree Techniques

ISBN-13: 9781402060946 / Angielski / Twarda / 2007 / 324 str.

C. Armando Duarte; V. M. A. Leitao; C. J. S. Alves

Opis

In recent years meshless/meshfree methods have gained a 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 results obtained demonstrates the effectiveness of many of the methods currently available. The book presents a significant sample of the state of the art in the field with methods that have reached a certain level of maturity while also addressing many open issues. The book collects extended original contributions presented at the first ECCOMAS Conference on Meshless Methods held in 2005 in Lisbon. The list of contributors reveals a mix of highly distinguished authors as well as quite young but very active and promising researchers, thus giving the reader an interesting and updated view of different mesh reduction methods and its range of applications. The material presented is appropriate for researchers, engineers, physicists, applied mathematicians and graduate students interested in this active research area.

Spis treści

Preface; A Global-Local Approach for the Construction of Enrichment Functions for the Generalized HIM and Its Application to Three-Dimensional Cracks, by C. Armando Duarte, Dae-Jin Kim and Ivo Babusca; Study of Some Optimal XFEM Type Methods, by Elie Chahine, Patrick Laborde, Julien Pommier Yves Renard and Michel Salaün, by Generalized Finite Element Method in Mixed Variational Formulation: A Study of Convergence and Solvability, by W. Góis and S.P.B. Proença; Stability in Lagrangian and Semi-Lagrangian Reproducing Kernel Discretizations Using Nodal Integration in Nonlinear Solid Mechanics, by Jiun-Shyan Chen and Youcai Wu; Simulation of Forming Processes by the cr-Shapes-Based Natural Element Method, by I. Alfaro, E. Cueto, F Chinesta and M. Doblaré; New Advances in Meshless Methods: Coupling Natural Element and Moving Least Squares Techniques, by F Chinesta, J. Yvonnet, P. Villon, P Breitkopf P Joyot, I. Alfaro and E. Cueto; Eliminating Shear-Locking in Meshless Methods: A Critical Overview and a New Framework for Structural Theories, by Carlos Tiago and Vitor MA. Leitão; FEMJSPH Coupling Techniques for High Velocity Impact Simulations, by Levent Aktay and Alastair F Johnson; On the Construction of Mass Conservative and Meshless Adaptive Particle Advection Methods, by Armin Iske; Spectral-Like Accuracy in Space of a Meshless Vortex Method, by LA. Barba; A Hybrid Meshless/Spectral-Element Method for the Shallow Water Equations on the Sphere, by Christopher D. Blakely; Iterated Approximate Moving Least Squares Approximation,by Gregory E. Fasshauer and Jack G. Zhang; A Kansa Type Method Using Fundamental Solutions Applied to Elliptic PDEs, by Carlos J.S. Alves and Svilen S. Valtchev; From Global to Local Radial Basis Function Collocation Method for Transport Phenomena, by Bozidar Sarler; Computation of Static Deformations and Natural Frequencies of Shear Deformable Plates by an RBF-Pseudospectral Method with an Optimal Shape Parameter, by A.J.M. Ferreira andG.E. Fasshauer; Author Index; Subject Index.