Meshfree Methods for Partial Differential Equations III (eBook, PDF)

Redaktion: Griebel, Michael; Schweitzer, Marc Alexander

• Format: PDF

Produktbeschreibung

Meshfree methods for the numerical solution of partial differential equations are becoming more and more mainstream in many areas of applications. 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.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 304
• Erscheinungstermin: 18. Juli 2007
• Englisch
• ISBN-13: 9783540462224
• Artikelnr.: 37371142

Autorenporträt

Dr. Michael Griebel ist Ordinarius für Wissenschaftliches Rechnen am Institut für Angewandte Mathematik der Universität in Bonn.

Inhaltsangabe

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.