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.
Travis B. Fillmore, Varun Gupta and C. Armando Duarte: Preconditioned
Conjugate Gradient Solvers for the Generalized Finite Element Method.- Csaba
Gaspar: A Fast and Stable Multi-Level Solution Technique for the Method of
Fundamental Solutions.- J. H. Gosse and E. J. Sharp: Explicit Margin of
Safety Assessment of Composite Structure.- Rudiger Kempf, Holger Wendland
and Christian Rieger: Kernel-based Reconstructions for Parametric PDEs.-
Jorg Kuhnert, Isabel Michel and Reiner Mack: Fluid Structure Interaction
(FSI) in the MESHFREE Finite Pointset Method (FPM): Theory and
Applications.- Fabian Nick, Hans-Joachim Plum and Jörg Kuhnert: Parallel
Detection of Subsystems in Linear Subsystems Arising in the MESHFREE Finite
Pointset Method.- Andriy Sokolov, Oleg Davydov and Stefan Turek: Numerical
Study of the RBF-FD Level Set Based Method for Partial Differential Equations
on Evolving-in-Time Surfaces.- Modesar Shakoor, Jiaying Gao, Zeliang Liu, and
Wing Kam Liu: A Data-Driven Multiscale Theory For Modeling Damage and
Fracture of Composite Materials.- C. T. Wu, Youcai Wu, Wei Hu, Xiaofei Pan:
Modeling the Friction Drilling Process Using a Thermo-Mechanical Coupled
Smoothed Particle Galerkin Method.- Matthias Birner and Marc Alexander
Schweitzer: Global-Local Enrichments in PUMA.- Clelia Albrecht, Constanze
Klaar and Marc Alexander Schweitzer: Stable and Efficient Quantum Mechanical
Calculations with PUMA on Triclinic Lattices.
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