Meshfree methods for partial differential equations VII
by Griebel, Michael Schweitzer, Marc Alexander
"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 vo…
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- Full title :Meshfree methods for partial differential equations VII / Michael Griebel, Marc Alexander Schweitzer, editors.
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.
Read More ↓Edition Statements
- Publication Date:©2015
Publication Statements
- Publisher(s):Springer
- Place of Publication:Cham
- Language:eng
- Publication Date:©2015
Notes
"The Seventh International Workshop on Meshfree Methods for Partial Differential Equations was held from September 9 to September 11, 2013 in Bonn, Germany"--Preface.
The Physical Object
- Description:viii, 315 pages : : illustrations ; : 24 cm
Edition Identifiers
- ISBN:3319068970, 9783319068978
- oclc:ocn881869257
- LC Classification:QA377
- Dewey Decimal:515.4
Table of Contents
A Galerkin Radial Basis Function Method for Nonlocal Diffusion -- A Partition of Unity Method for the Obstacle Problem of Simply Supported Kirchhoff Plates -- Particle Method Modeling of Nonlocal Multiresolution Continua -- Co-simulations of Discrete and Finite Element Codes -- Efficient Neighbor Search for Particle Methods on GPUs -- Robust Discretization of Nonlocal Models Related to Peridynamics -- Non-intrusive Uncertainty Quantification with Sparse Grids for Multivariate Peridynamic Simulations -- Regularization and Multi-level Tools in the Method of Fundamental Solutions -- Improvements to the Prototype Micro-brittle Model of Peridynamics -- Multiscale Partition of Unity -- Finite Pointset Method for the Simulation of a Vehicle Travelling Through a Body of Water -- Meshfree Finite Differences for Vector Poisson and Pressure Poisson Equations with Electric Boundary Conditions -- Numerical Integration of On-the-Fly-Computed Enrichment Functions in the PUM -- Dispersion Properties of the Partition of Unity Method and Explicit Dynamics -- An Immersed Meshfree Galerkin Approach for Particle-Reinforced Composite Analysis.
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