The virtual element method and its applications [Documento eletrónico] / edited by Paola F. Antonietti, Lourenço Beirão da Veiga, Gianmarco Manzini
Language: eng.Country: Switzerland, Swiss Confederation.Publication: Cham : Springer, 2022Description: XXIV, 605 p. : il.ISBN: 978-3-030-95319-5.Series: SEMA SIMAI Springer Series, 31Subject - Topical Name: Mathematical analysis | Mathematics Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA299.6.SPR FCT (Browse shelf(Opens below)) | 1 | Available | 96680 |
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QA299.6.SPR FCT Lyapunov inequalities and applications | QA299.6.SPR FCT Nonlinear partial differential equations for future applications, Sendai, Japan, july 10-28 and october 2-6, 2017 | QA299.6.SPR FCT Introduction to inverse problems for differential equations | QA299.6.SPR FCT The virtual element method and its applications | QA299.6.SPR FCT Advanced mathematics for engineers and physicists | QA299.6.SPR FCT Geometric harmonic analysis II, function spaces measuring size and smoothness on rough sets | QA299.6.SPR FCT Progress in mathematical fluid dynamics, Cetraro, Italy 2019 |
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.
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