Lecture Notes in Computational Science and Engineering

By: Michael Griebel (Editor), Marc Alexander Schweitzer (Editor)

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Hardcover | 5 November 2010

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The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is an extremely active research field, both in the mathematics and engineering communities. Meshfree methods are becoming increasingly mainstream in various applications. Due to their independence of a mesh, particle schemes and meshfree methods can deal with large geometric changes of the domain more easily than classical discretization techniques. Furthermore, meshfree methods offer a promising approach for the coupling of particle models to continuous models. This volume of LNCSE is a collection of the papers from the proceedings of the Fifth International Workshop on Meshfree Methods, held in Bonn in August 2009. The articles address the different meshfree methods and their use in applied mathematics, physics and engineering. The volume is intended to foster this highly active and exciting area of interdisciplinary research and to present recent advances and findings in this field.

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Non-Fiction Mathematics Calculus & Mathematical Analysis Differential Calculus & Equations Numerical Analysis Applied Mathematics Engineering & Technology Mechanical Engineering & Materials Mechanical Engineering

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Published: 10th October 2008

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Published: 22nd January 2013

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Global-local Petrov-Galerkin formulations in the Meshless Finite Difference Method	p. 1
Treatment of general domains in two space dimensions in a Partition of Unity Method	p. 27
Sampling Inequalities and Support Vector Machines for Galerkin Type Data	p. 51
Meshfree Vectorial Interpolation Based on the Generalized Stokes Problem	p. 65
Pressure XFEM for two-phase incompressible flows with application to 3D droplet problems	p. 81
Special-relativistic Smoothed Particle Hydrodynamics: a Benchmark suite	p. 89
An exact particle method for scalar conservation laws and its application to stiff reaction kinetics	p. 105
Application of Smoothed Particle Hydrodynamics to Structure Formation in Chemical Engineering	p. 125
Numerical validation of a constraints-based multiscale simulation method for solids	p. 141
Coupling of the Navier-Stokes and the Boltzmann equations with a meshfree particle and kinetic particle methods for a micro cavity	p. 155
Accuracy and Robustness of Kinetic Meshfree Method	p. 173
Kinetic meshless methods for unsteady moving boundaries	p. 189
Efficient cloud refinement for kinetic meshless methods	p. 207
Fast exact evaluation of particle interaction vectors in the finite volume particle method	p. 219
Parallel summation of symmetric inter-particle forces in smoothed particle hydrodynamics	p. 235
Meshfree Wavelet-Galerkin Method for Steady-State Analysis of Nonlinear Microwave Circuits	p. 249
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Lecture Notes in Computational Science and Engineering

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