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Meshfree Methods for Partial Differential Equations VIII

eBook - Lecture Notes in Computational Science and Engineering

Erschienen am 05.04.2017, Auflage: 1/2017
CHF 111,90
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ISBN/EAN: 9783319519548
Sprache: Englisch
Umfang: 0 S., 8.53 MB
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Format: PDF
DRM: Digitales Wasserzeichen

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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