Meshfree Methods for Partial Differential Equations VI

✍ Scribed by Axel Arnold, Olaf Lenz, Stefan Kesselheim (auth.), Michael Griebel, Marc Alexander Schweitzer (eds.)

Publisher: Springer-Verlag Berlin Heidelberg
Year: 2013
Tongue: English
Leaves: 242
Series: Lecture Notes in Computational Science and Engineering 89
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-viii
ESPResSo 3.1: Molecular Dynamics Software for Coarse-Grained Models....Pages 1-23
On the Rate of Convergence of the Hamiltonian Particle-Mesh Method....Pages 25-43
Peridynamics: A Nonlocal Continuum Theory....Pages 45-65
Immersed Molecular Electrokinetic Finite Element Method for Nano-devices in Biotechnology and Gene Delivery....Pages 67-74
Corrected Stabilized Non-conforming Nodal Integration in Meshfree Methods....Pages 75-92
Multilevel Partition of Unity Method for Elliptic Problems with Strongly Discontinuous Coefficients....Pages 93-109
HOLMES: Convergent Meshfree Approximation Schemes of Arbitrary Order and Smoothness....Pages 111-126
A Meshfree Splitting Method for Soliton Dynamics in Nonlinear Schrödinger Equations....Pages 127-139
A Meshless Discretization Method for Markov State Models Applied to Explicit Water Peptide Folding Simulations....Pages 141-154
Kernel-Based Collocation Methods Versus Galerkin Finite Element Methods for Approximating Elliptic Stochastic Partial Differential Equations....Pages 155-170
A Meshfree Method for the Analysis of Planar Flows of Inviscid Fluids....Pages 171-180
Some Regularized Versions of the Method of Fundamental Solutions....Pages 181-198
A Characteristic Particle Method for Traffic Flow Simulations on Highway Networks....Pages 199-219
Meshfree Modeling in Laminated Composites....Pages 221-233
Back Matter....Pages 243-249

✦ Subjects

Computational Science and Engineering;Appl.Mathematics/Computational Methods of Engineering;Theoretical, Mathematical and Computational Physics;Mathematics of Computing;Computer Applications in Chemistry;Materials Science, general

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