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Alauzet, Frederic

Meshing, Geometric Modeling and Numerical Simulation 2: Metrics, Meshes and Mesh Adaptation

Alauzet, Frederic - Meshing, Geometric Modeling and Numerical Simulation 2: Metrics, Meshes and Mesh Adaptation, ebook

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Triangulations, and more precisely meshes, are at the heart of many problems relating to a wide variety of scientific disciplines, and in particular numerical simulations of all kinds of physical phenomena. In numerical simulations, the functional spaces of approximation used to search for solutions are defined from meshes, and in this sense these meshes play a fundamental role. This strong link between meshes and functional spaces leads us to consider advanced simulation methods in which the meshes are adapted to the behaviors of the underlying physical phenomena. This book presents the basic elements of this vision of meshing.

These mesh adaptations are generally governed by a posteriori error estimators representing an increase of the error with respect to a size or metric. Independently of this metric of calculation, compliance with a geometry can also be calculated using a so-called geometric metric. The notion of mesh thus finds its meaning in the metric of its elements.

Keywords: introduction; ix; metric; curve; geometric; surface; simplicial element; nonsimplicial element; arbitrary; element; degree; computations; practical; presence; length

Author(s)
 
 
 
 
 
Publisher
John Wiley and Sons, Inc.
Publication year
2018
Language
en
Edition
1
Page amount
408 pages
Category
Natural Sciences
Format
Ebook
eISBN (ePUB)
9781119384366
Printed ISBN
9781786301178

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