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.
Author(s): A. J. M. Ferreira, E. J. Kansa, G. E. Fasshauer, V.M.A. Leitao
Series: Computational Methods in Applied Sciences
Edition: 1
Publisher: Springer
Year: 2008
Language: English
Pages: 311
Contents......Page 7
Particular Solution of Poisson Problems Using Cardinal Lagrangian Polyharmonic Splines......Page 13
A Meshless Solution to the p-Laplace Equation......Page 29
Localized Radial Basis Functions with Partition of Unity Properties......Page 48
Preconditioning of Radial Basis Function Interpolation Systems via Accelerated Iterated Approximate Moving Least Squares Approximation......Page 68
Arbitrary Precision Computations of Variations of Kansa's Method......Page 87
A Meshless Approach for the Analysis of Orthotropic Shells Using a Higher-Order Theory and an Optimization Technique......Page 94
An Order-N Complexity Meshless Algorithm Based on Local Hermitian Interpolation......Page 108
On the Determination of a Robin Boundary Coefficient in an Elastic Cavity Using the MFS......Page 134
Several Meshless Solution Techniques for the Stokes Flow Equations......Page 149
Orbital HP-Clouds for Quantum Systems......Page 167
The Radial Natural Neighbours Interpolators Extended to Elastoplasticity......Page 182
Static and Damage Analyses of Shear Deformable Laminated Composite Plates Using the Radial Point Interpolation Method......Page 206
Analysis of Tensile Structures with the Element Free Galerkin Method......Page 224
Towards an Isogeometric Meshless Natural Element Method......Page 244
A Partition of Unity-Based Multiscale Method......Page 265
Application of Smoothed Particle Hydrodynamics Method in Engineering Problems......Page 279
Visualization of Meshless Simulations Using Fourier Volume Rendering......Page 297
