Meshfree methods are a modern alternative to classical mesh-based discretization techniques such as finite differences or finite element methods. Especially in a time-dependent setting or in the treatment of problems with strongly singular solutions their independence of a mesh makes these methods highly attractive. This volume collects selected papers presented at the Sixth International Workshop on Meshfree Methods held in Bonn, Germany in October 2011. They address various aspects of this very active research field and cover topics from applied mathematics, physics and engineering.
ESPResSo 3.1 Molecular Dynamics Software for Coarse-Grained Models: A.
Arnold, O. Lenz, S. Kesselheim, R. Weeber, F. Fahrenberger, D. Roehm, P.
Koovan, C. Holm.- On the Rate of Convergence of the Hamiltonian
Particle-Mesh Method Onno Bokhove, Vladimir Molchanov, Marcel Oliver, Bob
Peeters.- Peridynamics: A Nonlocal Continuum Theory.- Etienne Emmrich,
Richard B. Lehoucq, Dimitri Puhst.- Immersed Molecular Electrokinetic Finite
Element Method for Nano-Devices in Biotechnology and Gene Delivery: Wing Kam
Liu, Adrian M. Kopacz, Tae-Rin Lee, Hansung Kim, Paolo Decuzzi.- Corrected
Stabilized Non-conforming Nodal Integration in Meshfree Methods: Marcus
Rüter, Michael Hillman, Jiun-Shyan Chen.- Multilevel Partition of Unity
Method for Elliptic Problems with strongly Discontinuous Coefficients: Marc
Alexander Schweitzer.- HOLMES: Convergent Meshfree Approximation Schemes of
Arbitrary Order and Smoothness: Agustín Bompadre, Luigi E. Perotti, Christian
J. Cyron, Michael Ortiz.- A Meshfree Splitting Method for Soliton Dynamics in
Nonlinear Schrödinger Equations: Marco Caliari, Alexander Ostermann, Stefan
Rainer.- A Meshless Discretization Method for Markov State Models Applied to
Explicit Water Peptide Folding Simulations: Konstantin Fackeldey, Alexander
Bujotzek, Marcus Weber.- Kernel-based Collocation Methods versus Galerkin
Finite Element Methods for Approximating Elliptic Stochastic Partial
Differential Equations: Gregory E. Fasshauer, Qi Ye.- A Meshfree Method for
the Analysis of Planar Flows of Inviscid Fluids: Vasily N. Govorukhin.- Some
Regularized Versions of the Method of Fundamental Solutions: Csaba Gáspár.- A
Characteristic Particle Method for Traffic Flow Simulations on Highway
Networks: Yossi Farjoun, Benjamin Seibold.- Meshfree Modeling in Laminated
Composites: Daniel C. Simkins, Jr., Nathan Collier, Joseph B. Alford.
