The Hitchhiker's Guide to the Virtual Element Method-Reference-Cited by-同舟云学术

The Hitchhiker's Guide to the Virtual Element Method

Published:2014-05-04 Issue:08 Volume:24 Page:1541-1573
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

Beirão da Veiga L.¹,Brezzi F.²,Marini L. D.³,Russo A.⁴

Affiliation:

1. Dipartimento di Matematica, Università di Milano Statale, Via Saldini 50, I-20133 Milano, Italy

2. IUSS-Pavia and IMATI-CNR, Via A. Ferrata 5/A, 27100 Pavia, Italy

3. Dipartimento di Matematica, Università di Pavia, and IMATI-CNR, Via Ferrata 1, 27100 Pavia, Italy

4. Dipartimento di Matematica e Applicazioni, Università di Milano–Bicocca, Via Cozzi 53, I-20153 Milano, Italy

Abstract

We present the essential ingredients in the Virtual Element Method for a simple linear elliptic second-order problem. We emphasize its computer implementation, which will enable interested readers to readily implement the method.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021820251440003X

Reference36 articles.

1. Equivalent projectors for virtual element methods

2. Mimetic Discretizations of Elliptic Control Problems

3. A residual based error estimator for the Mimetic Finite Difference method

4. A mimetic discretization method for linear elasticity

5. BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS

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