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. 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. Furthermore, meshfree methods offer a promising approach for the coupling of particle models to continuous models. This volume of LNCSE is a collection of the proceedings papers of the Fourth International Workshop on Meshfree Methods held in September 2007 in Bonn. The articles address the different meshfree methods (SPH, PUM, GFEM, EFGM, RKPM, etc.) and their application in applied mathematics, physics and engineering. The volume is intended to foster this very active and exciting area of interdisciplinary research and to present recent advances and results in this field.
Author(s): Michael Griebel, Marc Alexander Schweitzer
Series: Lecture Notes in Computational Science and Engineering No. IV
Edition: 1
Publisher: Springer
Year: 2008
Language: English
Pages: 412
Cover......Page 1
Lecture Notes in Computational Science and Engineering, 65......Page 2
Meshfree Methods for Partial Differential Equations IV......Page 3
ISBN 9783540799931......Page 4
Preface......Page 5
Contents......Page 6
Circumventing Curse of Dimensionality in the
Solution of Highly Multidimensional Models
Encountered in Quantum Mechanics Using
Meshfree Finite Sums Decomposition......Page 8
A Pressure Correction Approach Coupled with
the MLPG Method for the Solution of the
Navier-Stokes Equations......Page 25
Large Scale, Multiresolution Flow Simulations
Using Remeshed Particle Methods......Page 40
On the Stabilization of Stress-Point Integration
in the Element Free Galerkin Method......Page 52
The Partition of Unity Meshfree Method for
Solving Transport-Reaction Equations on
Complex Domains: Implementation and
Applications in the Life Sciences......Page 74
Solving One Dimensional Scalar Conservation
Laws by Particle Management......Page 99
Stability of Energy Transfer in the Weak
Coupling Method......Page 114
Multiscale Approach for Quantum Systems......Page 123
A Meshless Technique Based on Integrated
Radial Basis Function Networks for Elliptic
Partial Differential Equations......Page 142
A Higher-Order Finite Volume Method Using
Multiresolution Reproducing Kernels......Page 157
Interface Tracking in Meshfree Methods
and its Applications......Page 172
A’posteriori Error Estimation Based on Higher
Order Approximation in the Meshless Finite
Difference Method......Page 188
Exact Bounds for Linear Outputs of the
Convection-Diffusion-Reaction Equation Using
Flux-Free Error Estimates......Page 213
Preparation of CAD and Molecular Surfaces
for Meshfree Solvers......Page 229
3D Meshfree Magnetohydrodynamics......Page 244
A Particle-Partition of Unity Method
Part VIII: Hierarchical Enrichment......Page 273
A Framework For Studying The RKEM
Representation of Discrete Point Sets......Page 296
Coupling of the CFD and the Droplet
Population Balance Equation with the Finite
Pointset Method......Page 310
Hybrid Methods for
Fluid-Structure-Interaction Problems
in Aeroelasticity......Page 330
Color Plates......Page 354
Editorial Policy......Page 399
General Remarks......Page 400
Lecture Notes
in Computational Science
and Engineering......Page 401
Texts in Computational Science
and Engineering......Page 404
