The Virtual Element Method and its Applications (Hardcover, 1st ed. 2022)

The purpose of this book is to present the current state of the art of the Virtual Element Method (VEM) by collecting contributions from many of the most active researchers in this field and covering a broad range of topics: from the mathematical foundation to real life computational applications. The book is naturally divided into three parts. The first part of the book presents recent advances in theoretical and computational aspects of VEMs, discussing the generality of the meshes suitable to the VEM, the implementation of the VEM for linear and nonlinear PDEs, and the construction of discrete hessian complexes. The second part of the volume discusses Virtual Element discretization of paradigmatic linear and non-linear partial differential problems from computational mechanics, fluid dynamics, and wave propagation phenomena. Finally, the third part contains challenging applications such as the modeling of materials with fractures, magneto-hydrodynamics phenomena and contact solid mechanics. The book is intended for graduate students and researchers in mathematics and engineering fields, interested in learning novel numerical techniques for the solution of partial differential equations. It may as well serve as useful reference material for numerical analysts practitioners of the field.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	SEMA SIMAI Springer Series, 31
Release date:	October 2022
First published:	2022
Editors:	Paola F. Antonietti • Lourenco Beirao Da Veiga • Gianmarco Manzini
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	605
Edition:	1st ed. 2022
ISBN-13:	978-3-03-095318-8
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Books > Science & Mathematics > Mathematics > Applied mathematics > General
LSN:	3-03-095318-1
Barcode:	9783030953188

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