Meshfree Methods for Partial Differential Equations IV

✍ Scribed by Amine Ammar, Francisco Chinesta (auth.), Michael Griebel, Marc Alexander Schweitzer (eds.)

• Publisher: Springer
• Year: 2008
• Tongue: English
• Leaves: 412
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages I-VIII
Circumventing Curse of Dimensionality in the Solution of Highly Multidimensional Models Encountered in Quantum Mechanics Using Meshfree Finite Sums Decomposition....Pages 1-17
A Pressure Correction Approach Coupled with the MLPG Method for the Solution of the Navier-Stokes Equations....Pages 19-33
Large Scale, Multiresolution Flow Simulations Using Remeshed Particle Methods....Pages 35-46
On the Stabilization of Stress-Point Integration in the Element Free Galerkin Method....Pages 47-68
The Partition of Unity Meshfree Method for Solving Transport-Reaction Equations on Complex Domains: Implementation and Applications in the Life Sciences....Pages 69-93
Solving One Dimensional Scalar Conservation Laws by Particle Management....Pages 95-109
Stability of Energy Transfer in the Weak Coupling Method....Pages 111-119
Multiscale Approach for Quantum Systems....Pages 121-139
A Meshless Technique Based on Integrated Radial Basis Function Networks for Elliptic Partial Differential Equations....Pages 141-155
A Higher-Order Finite Volume Method Using Multiresolution Reproducing Kernels....Pages 157-171
Interface Tracking in Meshfree Methods and its Applications....Pages 173-188
A’posteriori Error Estimation Based on Higher Order Approximation in the Meshless Finite Difference Method....Pages 189-213
Exact Bounds for Linear Outputs of the Convection-Diffusion-Reaction Equation Using Flux-Free Error Estimates....Pages 215-230
Preparation of CAD and Molecular Surfaces for Meshfree Solvers....Pages 231-245
3D Meshfree Magnetohydrodynamics....Pages 247-275
A Particle-Partition of Unity Method Part VIII: Hierarchical Enrichment....Pages 277-299
A Framework For Studying The RKEM Representation of Discrete Point Sets....Pages 301-314
Coupling of the CFD and the Droplet Population Balance Equation with the Finite Pointset Method....Pages 315-334
Hybrid Methods for Fluid-Structure-Interaction Problems in Aeroelasticity....Pages 335-358
Back Matter....Pages 359-403

✦ Subjects

Theoretical and Applied Mechanics