Meshfree Methods for Partial Differential Equations VIII

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106,99 

Lecture Notes in Computational Science and Engineering 115

ISBN: 3319847872
ISBN 13: 9783319847870
Herausgeber: Michael Griebel/Marc Alexander Schweitzer
Verlag: Springer Verlag GmbH
Umfang: viii, 240 S., 11 s/w Illustr., 58 farbige Illustr., 240 p. 69 illus., 58 illus. in color.
Erscheinungsdatum: 18.07.2018
Auflage: 1/2017
Produktform: Kartoniert
Einband: Kartoniert

Includes supplementary material: sn.pub/extras

Artikelnummer: 5460362 Kategorie:

Beschreibung

There have been substantial developments in meshfree methods, particle methods, and generalized finite element methods since the mid 1990s. The growing interest in these methods is in part due to the fact that they offer extremely flexible numerical tools and can be interpreted in a number of ways. For instance, meshfree methods can be viewed as a natural extension of classical finite element and finite difference methods to scattered node configurations with no fixed connectivity. Furthermore, meshfree methods have a number of advantageous features that are especially attractive when dealing with multiscale phenomena: A-priori knowledge about the solutions particular local behavior can easily be introduced into the meshfree approximation space, and coarse scale approximations can be seamlessly refined by adding fine scale information. However, the implementation of meshfree methods and their parallelization also requires special attention, for instance with respect to numerical integration.

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