Meshfree methods for partial differential equations VII /

Meshfree methods for partial differential equations VII /

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Bibliographic Details
Imprint:Cham : Springer, [2014]
©2015
Description:1 online resource (viii, 324 pages) : illustrations (some color).
Language:English
Series:Lecture notes in computational science and engineering, 1439-7358 ; 100
Lecture notes in computational science and engineering ; 100.
Subject:
Differential equations, Partial -- Numerical solutions.
Meshfree methods (Numerical analysis)
Differential equations, Partial -- Numerical solutions.
Meshfree methods (Numerical analysis)
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11090265
Hidden Bibliographic Details
Other authors / contributors:Griebel, Michael, 1960- editor.
Schweitzer, Marc Alexander, editor.
ISBN:9783319068985
3319068989
9783319068978
3319068970
9783319068978
Digital file characteristics:text file PDF
Notes:Includes bibliographical references.
Online resource; title from PDF title page (SpringerLink, viewed December 29, 2014).
Summary:"Meshfree methods for the solution of partial differential equations gained much attention in recent years, not only in the engineering but also in the mathematics community. One of the reasons for this development is the fact that meshfree discretizations and particle models are often better suited to cope with geometric changes of the domain of interest, e.g. free surfaces and large deformations, than classical discretization techniques such as finite differences, finite elements or finite volumes. Another obvious advantage of meshfree discretizations is their independence of a mesh so that the costs of mesh generation are eliminated. Also, the treatment of time-dependent PDEs from a Lagrangian point of view and the coupling of particle models and continuous models gained enormous interest in recent years from a theoretical as well as from a practial point of view. This volume consists of articles which address the different meshfree methods (SPH, PUM, GFEM, EFGM, RKPM etc.) and their application in applied mathematics, physics and engineering." -- Book cover.
Other form:Erscheint auch als: Druck-Ausgabe Griebel, Michael. Meshfree Methods for Partial Differential Equations VII
Standard no.:10.1007/978-3-319-06898-5
Table of Contents:
  • F. Franzelin, P. Diehl, D. Pflüger: Spatially adaptive sparse grid collocation for multivariate peridynamic simulations
  • G. anzenmüller, S. Hiermaier, M. May: Improvements to the Prototype Micro-Brittle Linear Elasticity Model of Peridynamics
  • C. Gaspar: Regularization and Multi-Level Tools in the Method of Fundamental Solution
  • S. Bond, R. Lehoucq, S. Rowe: A Galerkin Radial Basis Function Method for Nonlocal Diffusion
  • P. Henning, P. Morgenstern, D. Peterseim: Multiscale Partition of Unity Method
  • D. Zhou, B. Seibold, D. Shirokoff, P. Chidyagwai, R.R. Rosales: Meshfree Finite Differences for Vector Poisson and Pressure Poisson Equations with Electric Boundary Conditions
  • C.T Wu: An Immersed Meshfree Galerkin Approach for Particle-Reinforced Composite Analysis
  • A. Jefferies, J. Kuhnert, L. Aschenbrenner, U. Giffhorn: Finite Pointset Method for the Simulation of a Vehicle travelling through a Body of Water
  • S.C. Brenner, C.B. Davis, L. Sung: A partition of unity method for the obstacle problem of simply supported Kirchhoff plates
  • Q. Du, X. Tian: Robust Discretization of Nonlocal Models Related to Peridynamics
  • Z. Dai, M.A. Bessa, S. Li, W.K. Liu: Particle Method Modeling of Nonlocal Multiresolution Continua
  • C. Dehning, C. Bierwisch and T. Kraft: Co-simulations of discrete and finite element codes
  • S. Wu, M.A. Schweitzer: Numerical Integration of pre-computed Enrichment Functions in the PUM
  • P. Diehl, M.A. Schweitzer: Efficient neighbor search for particle methods on GPUs
  • M.A. Schweitzer, A. Ziegenhagel: Dispersion Properties of the Partition of Unity Method & Explicit Dynamics

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