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 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 Second ECCOMAS Conference on Meshless Methods held in 2007 in Porto. The list of contributors reveals a fortunate 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 meshless approximation methods and their range of applications. The material presented is appropriate for researchers, engineers, physicists, applied mathematicians and graduate students interested in this active research area.
Preface; Particular Solution of Poisson Problems using Cardinal Lagrangian Polyharmonic Splines, by B. Bacchelli and M.
Bozzini; A Meshless Solution to the p-Laplace Equation, by F. Bernal and M. Kindelan;
Localized Radial Basis Functions with Partition of Unity Properties, by J.S. Chen, W. Hu and H.Y. Hu;
RBF Preconditioning via Iterated Approximate MLS Approximation, by Gregory E. Fasshauer and Jack G. Zhang;
Arbitrary Precision Computations of Variations of Kansa's Method, by Leevan Ling;
A Meshless Approach for the Analysis of Orthotropic Shells using a Higher-order Theory and an Optimization Technique, by C.M.C. Roque, A.J.M. Ferreira and R.M.N. Jorge;
An Order-N Complexity Meshless Algorithm based on Local Hermitian Interpolation, by David Stevens, Henry Power, Herve Morvan;
On the Determination of a Robin Boundary Coefficient in an Elastic Cavity using the MFS, by Carlos J. S. Alves, Nuno F. M. Martins;
Several Meshless Solution Techniques for the Stokes Flow Equations, by C. Gáspár;
Orbital HP-Clouds for Quantum Systems, by J. S. Chen and W. Hu;
The Radial Natural Neighbour Interpolators Extended to Elastoplasticity, by L.M.J.S. Dinis, R.M. Natal Jorge, and J. Belinha;
Static and Damage Analyses of Shear Deformable Laminated Composite Plates using the Radial Point Interpolation Method, by A. Djeukou , O. von Estorff;
Analysis of Tensile Structures with the Element Free Galerkin Method, by Bruno Figueiredo, Vitor M.A. Leitão;
Toward an Isogeometric Meshless Natural Element Method, by David González, Elías Cueto, Manuel Doblaré;
A Partition of Unity-Based Multiscale Method, by Michael Macri and Suvranu De;
Application of the Smoothed Particle Hydrodynamics Method in Engineering Problems, by Matej Vesenjak and Zoran Ren;
Visualization Of Meshless Simulations Using Fourier Volume Rendering, by Andrew Corrigan, John Wallin, Matej Vesenjak.