Meshfree Methods for Partial Differential Equations IX

Description

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. Front Matter ....Pages i-viii Preconditioned Conjugate Gradient Solvers for the Generalized Finite Element Method (Travis B. Fillmore, Varun Gupta, Carlos Armando Duarte)....Pages 1-17 A Fast and Stable Multi-Level Solution Technique for the Method of Fundamental Solutions (Csaba Gáspár)....Pages 19-42 Explicit Margin of Safety Assessment of Composite Structure (J. H. Gosse, E. J. Sharp)....Pages 43-51 Kernel-Based Reconstructions for Parametric PDEs (Rüdiger Kempf, Holger Wendland, Christian Rieger)....Pages 53-71 Fluid Structure Interaction (FSI) in the MESHFREE Finite Pointset Method (FPM): Theory and Applications (Jörg Kuhnert, Isabel Michel, Reiner Mack)....Pages 73-92 Parallel Detection of Subsystems in Linear Systems Arising in the MESHFREE Finite Pointset Method (Fabian Nick, Hans-Joachim Plum, Jörg Kuhnert)....Pages 93-115 Numerical Study of the RBF-FD Level Set Based Method for Partial Differential Equations on Evolving-in-Time Surfaces (Andriy Sokolov, Oleg Davydov, Stefan Turek)....Pages 117-134 A Data-Driven Multiscale Theory for Modeling Damage and Fracture of Composite Materials (Modesar Shakoor, Jiaying Gao, Zeliang Liu, Wing Kam Liu)....Pages 135-148 Modeling the Friction Drilling Process Using a Thermo-Mechanical Coupled Smoothed Particle Galerkin Method (Cheng-Tang Wu, Youcai Wu, Wei Hu, Xiaofei Pan)....Pages 149-166 Global-Local Enrichments in PUMA (Matthias Birner, Marc Alexander Schweitzer)....Pages 167-183 Stable and Efficient Quantum Mechanical Calculations with PUMA on Triclinic Lattices (Clelia Albrecht, Constanze Klaar, Marc Alexander Schweitzer)....Pages 185-195 Back Matter ....Pages 197-206