Griebel M. Meshfree Methods for Partial Differential Equations IX 2019

Textbook in PDF format

This volume collects selected papers presented at the Ninth International Workshop on Meshfree Methods held in Bonn, Germany in September 2017. They address various aspects of this very active research field and cover topics from applied mathematics, physics and engineering.
The numerical treatment of partial differential equations with meshfree discretization techniques has been a very active research area in recent years. While the fundamental theory of meshfree methods has been developed and considerable advances of the various methods have been made, many challenges in the mathematical analysis and practical implementation of meshfree methods remain.
This symposium aims to promote collaboration among engineers, mathematicians, and computer scientists and industrial researchers to address the development, mathematical analysis, and application of meshfree and particle methods especially to multiscale phenomena. It continues the 2-year-cycled Workshops on Meshfree Methods for Partial Differential Equations.
Preconditioned Conjugate Gradient Solvers for the Generalized Finite Element Method
A Fast and Stable Multi-Level Solution Technique for the Method of Fundamental Solutions
Explicit Margin of Safety Assessment of Composite Structure
Kernel-Based Reconstructions for Parametric PDEs
Fluid Structure Interaction (FSI) in the MESHFREE Finite Pointset Method (FPM): Theory and Applications
Parallel Detection of Subsystems in Linear Systems Arising in the MESHFREE Finite Pointset Method
Numerical Study of the RBF-FD Level Set Based Method for Partial Differential Equations on Evolving-in-Time Surfaces
A Data-Driven Multiscale Theory for Modeling Damage and Fracture of Composite Materials
Modeling the Friction Drilling Process Using a Thermo-Mechanical Coupled Smoothed Particle Galerkin Method
Global-Local Enrichments in PUMA
Stable and Efficient Quantum Mechanical Calculations with PUMA on Triclinic Lattices