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BuchKartoniert, Paperback
605 Seiten
Englisch
Springererschienen am10.10.20231st 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.mehr
Verfügbare Formate
BuchGebunden
EUR106,99
BuchKartoniert, Paperback
EUR106,99

Produkt

KlappentextThe 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.
Details
ISBN/GTIN978-3-030-95321-8
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2023
Erscheinungsdatum10.10.2023
Auflage1st ed. 2022
ReiheSEMA SIMAI Springer Series
Seiten605 Seiten
SpracheEnglisch
IllustrationenXXIV, 605 p. 1 illus.
Artikel-Nr.54747445

Inhalt/Kritik

Inhaltsverzeichnis
1 Tommaso Sorgente et al., VEM and the Mesh.- 2 Dibyendu Adak et al., On the implementation of Virtual Element Method for Nonlinear problems over polygonal meshes.- 3 Long Chen and Xuehai Huang, Discrete Hessian Complexes in Three Dimensions.- 4 Edoardo Artioli et al., Some Virtual Element Methods for Infinitesimal Elasticity Problems.- 5 Lourenço Beirão da Veiga and Giuseppe Vacca, An introduction to second order divergence-free VEM for fluidodynamics.- 6 Gabriel N. Gatica et al, A virtual marriage à la mode: some recent results on the coupling of VEM and BEM.- 7 Daniele Boffi  et al., Virtual element approximation of eigenvalue problems.- 8 David Mora and Alberth Silgado, Virtual element methods for a stream-function formulation of the Oseen equations.- 9 Lorenzo Mascotto et al., The nonconforming Trefftz virtual element method: general setting, applications, and dispersion analysis for the Helmholtz equation.- 10 Paola F. Antonietti et al., The conforming virtual element method for polyharmonic and elastodynamics problems: a review.- 11 Edoardo Artioli et al., The virtual element method in nonlinear and fracture solid mechanics.- 12 Sebastián Naranjo Álvarez et al., The virtual element method for the coupled system of magneto-hydrodynamics.- 13 Peter Wriggers et al., Virtual Element Methods for Engineering Applications.mehr

Schlagworte

Autor

Paola F. Antonietti is a full professor in numerical analysis at Politecnico di Milano, Italy. Her research interests concern the development and analysis of numerical methods for partial differential equations with applications to computational geosciences. She is particularly interested in nonstandard high-order finite element methods, including virtual elements and discontinuous Galerkin methods on polygonal and polyhedral grids.

Lourenço Beirão da Veiga is a full professor in numerical analysis at the University of Milano-Bicocca, Italy. His research mainly concerns the development and theoretical analysis of numerical methods for partial differential equations, with a particular focus on solid and fluid mechanics. His more recent interests are on novel and nonstandard methodologies such as isogeometric analysis, mimetic finite differences, and virtual element methods.

Gianmarco Manzini is a research director of the Consiglio Nazionaledelle Ricerche in Pavia, Italy and a senior scientist at the Los Alamos National Laboratory in Los Alamos, New Mexico. His research interests mainly concern the design and implementation of numerical methods for partial differential equations, with a special focus on numerical methods for polygonal and polyhedral meshes such as finite volumes, mimetic finite differences, and virtual element methods.
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Herausgegeben:Antonietti, Paola F.