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Details for:
Antonietti P. The Virtual Element Method and its App 2022
antonietti p virtual element method its app 2022
Type:
E-books
Files:
1
Size:
19.5 MB
Uploaded On:
Oct. 15, 2022, 9:55 a.m.
Added By:
andryold1
Seeders:
1
Leechers:
0
Info Hash:
E31C851BADA4DB4EE9B93F71B8B590C30789D596
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Textbook in PDF format 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. VEM and the Mesh On the Implementation of Virtual Element Method for Nonlinear Problems over Polygonal Meshes Discrete Hessian Complexes in Three Dimensions Some Virtual Element Methods for Infinitesimal Elasticity Problems An Introduction to Second Order Divergence-Free VEM for Fluidodynamics A Virtual Marriage à la Mode: Some Recent Results on the Coupling of VEM and BEM Virtual Element Approximation of Eigenvalue Problems Virtual Element Methods for a Stream-Function Formulation of the Oseen Equations The Nonconforming Trefftz Virtual Element Method: General Setting, Applications, and Dispersion Analysis for the Helmholtz Equation The Conforming Virtual Element Method for Polyharmonic and Elastodynamics Problems: A Review The Virtual Element Method in Nonlinear and Fracture Solid Mechanics The Virtual Element Method for the Coupled System of Magneto-Hydrodynamics Virtual Element Methods for Engineering Applications
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Antonietti P. The Virtual Element Method and its App 2022.pdf
19.5 MB
