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The Virtual Element Method and its Applications

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Cover of 'The Virtual Element Method and its Applications'

Table of Contents

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    Book Overview
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    Chapter 1 VEM and the Mesh
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    Chapter 2 On the Implementation of Virtual Element Method for Nonlinear Problems over Polygonal Meshes
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    Chapter 3 Discrete Hessian Complexes in Three Dimensions
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    Chapter 4 Some Virtual Element Methods for Infinitesimal Elasticity Problems
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    Chapter 5 An Introduction to Second Order Divergence-Free VEM for Fluidodynamics
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    Chapter 6 A Virtual Marriage à la Mode: Some Recent Results on the Coupling of VEM and BEM
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    Chapter 7 Virtual Element Approximation of Eigenvalue Problems
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    Chapter 8 Virtual Element Methods for a Stream-Function Formulation of the Oseen Equations
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    Chapter 9 The Nonconforming Trefftz Virtual Element Method: General Setting, Applications, and Dispersion Analysis for the Helmholtz Equation
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    Chapter 10 The Conforming Virtual Element Method for Polyharmonic and Elastodynamics Problems: A Review
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    Chapter 11 The Virtual Element Method in Nonlinear and Fracture Solid Mechanics
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    Chapter 12 The Virtual Element Method for the Coupled System of Magneto-Hydrodynamics
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    Chapter 13 Virtual Element Methods for Engineering Applications
Attention for Chapter 6: A Virtual Marriage à la Mode: Some Recent Results on the Coupling of VEM and BEM
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