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Meshfree Methods for Partial Differential Equations III [electronic resource] /edited by Michael Griebel, Marc A. Schweitzer.

by Griebel, Michael [editor.]; Schweitzer, Marc A [editor.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Lecture Notes in Computational Science and Engineering: 57Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.Description: VIII, 306 p. 137 illus. online resource.ISBN: 9783540462224.Subject(s): Mathematics | Differential equations, partial | Computer science -- Mathematics | Computer science | Engineering mathematics | Mathematics | Computational Mathematics and Numerical Analysis | Computational Science and Engineering | Partial Differential Equations | Appl.Mathematics/Computational Methods of EngineeringDDC classification: 518 | 518 Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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.
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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.

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.

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