Meshfree methods for the numerical solution of partial differential equations are becoming more and more mainstream in many areas of applications. Their flexiblity and wide applicability are attracting engineers, scientists, and mathematicians to this very dynamic research area. This volume represents the state of the art in meshfree methods. It consists of articles which address the different meshfree techniques, their mathematical properties and their application in applied mathematics, physics and engineering.
Author(s): Marino Arroyo, Michael Ortiz (auth.), Michael Griebel, Marc A. Schweitzer (eds.)
Series: Lecture Notes in Computational Science and Engineering 57
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2007
Language: English
Pages: 304
Tags: Computational Mathematics and Numerical Analysis; Computational Science and Engineering; Partial Differential Equations; Appl.Mathematics/Computational Methods of Engineering
Front Matter....Pages I-VIII
Local Maximum-Entropy Approximation Schemes....Pages 1-16
Genetic Algorithms for Meshfree Numerical Integration....Pages 17-40
An RBF Meshless Method for Injection Molding Modelling....Pages 41-56
Strain Smoothing for Stabilization and Regularization of Galerkin Meshfree Methods....Pages 57-75
Fuzzy Grid Method for Lagrangian Gas Dynamics Equations....Pages 77-86
New Shape Functions for Arbitrary Discontinuities without Additional Unknowns....Pages 87-103
A Meshless BEM for 2-D Stress Analysis in Linear Elastic FGMs....Pages 105-119
A Particle-Partition of Unity Method Part VII: Adaptivity....Pages 121-147
Enriched Reproducing Kernel Particle Approximation for Simulating Problems Involving Moving Interfaces....Pages 149-164
Deterministic Particle Methods for High Dimensional Fokker-Planck Equations....Pages 165-183
Bridging Scale Method and Its Applications....Pages 185-205
A New Stabilized Nodal Integration Approach....Pages 207-217
Multigrid and M-Matrices in the Finite Pointset Method for Incompressible Flows....Pages 219-234
Assessment of Generalized Finite Elements in Nonlinear Analysis....Pages 235-247
A Meshfree Method for Simulations of Interactions between Fluids and Flexible Structures....Pages 249-264
Goal Oriented Error Estimation for the Element Free Galerkin Method....Pages 265-282
Bubble and Hermite Natural Element Approximations....Pages 283-298
Back Matter....Pages 299-312
