![]() ![]() ![]() The articles address the different meshfree methods (SPH, PUM, GFEM, EFGM, RKPM, etc.) and their application in applied mathematics, physics and engineering. This volume of LNCSE is a collection of the papers from the proceedings of the Second International Workshop on Meshfree Methods held in September 2003 in Bonn. Furthermore, meshfree methods offer a promising approach for the coupling of particle models to continuous models. Due to their independence of a mesh, particle schemes and meshfree methods can deal with large geometric changes of the domain more easily than classical discretization techniques. The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is a very active research field both in the mathematics and engineering community. (source: Nielsen Book Data) Publisher's summary It consists of articles which address the different meshfree techniques, their mathematical properties and their application in applied mathematics, physics and engineering. This volume represents the state-of-the-art in meshfree methods. Meshfree methods for the numerical solution of partial differential equations are becoming more and more mainstream in many areas of applications. ![]() Local Maximum-Entropy Approximation Schemes.- Genetic Algorithms for Meshfree Numerical Integration.- An RBF Meshless Method for Injection Molding Modelling.- Strain Smoothing for Stabilization and Regularization of Galerkin Meshfree Methods.- Fuzzy Grid Method for Lagrangian Gas Dynamics Equations.- New Shape Functions for Arbitrary Discontinuities without Additional Unknowns.- A Meshless BEM for 2-D Stress Analysis in Linear Elastic FGMs.- A Particle-Partition of Unity Method Part VII: Adaptivity.- Enriched Reproducing Kernel Particle Approximation for Simulating Problems Involving Moving Interfaces.- Deterministic Particle Methods for High Dimensional Fokker-Planck Equations.- Bridging Scale Method and Its Applications.- A New Stabilized Nodal Integration Approach.- Multigrid and M-Matrices in the Finite Pointset Method for Incompressible Flows.- Assessment of Generalized Finite Elements in Nonlinear Analysis.- A Meshfree Method for Simulations of Interactions between Fluids and Flexible Structures.- Goal Oriented Error Estimation for the Element Free Galerkin Method.- Bubble and Hermite Natural Element Approximations.Bibliography Includes bibliographical references.
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