Synonyms
Meshfree methods; Element-free methods; Particle methods
Definition
Meshless methods belong to a class of techniques for solving boundary/initial value partial differential equations in which both geometry representation and numerical discretization are principally performed based on nodes or particles. In meshless methods, there is no inherent reliance on a particular mesh topology meaning that no element connectivity is required. In practice, however, in many meshless methods recourse must be taken to some kind of background meshes at least in one stage of the implementation.
Overview
Analysis of many practical processes in modern engineering requires modeling of problems with time dependent geometry or boundary conditions. Pulsating flow of blood in heart, metal forming processes and stretching of a polymer filament are only a few examples. Conventional mesh based methods such as the Finite Volume and Finite Element Methods face serious difficulties when dealing with...
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© 2008 Springer-Verlag
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Manzari, M. (2008). Meshless Methods. In: Li, D. (eds) Encyclopedia of Microfluidics and Nanofluidics. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-48998-8_885
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DOI: https://doi.org/10.1007/978-0-387-48998-8_885
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-32468-5
Online ISBN: 978-0-387-48998-8
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