Recent results and perspectives for virtual element methods-Reference-Cited by-同舟云学术

Recent results and perspectives for virtual element methods

Published:2021-12-20 Issue:14 Volume:31 Page:2819-2824
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.¹²,Bellomo N.³²,Brezzi F.²⁴,Marini L. D.²⁵

Affiliation:

1. University of Milano Bicocca, Dipartimento di Matematica e Applicazioni, Via Cozzi 53, I-20153v Milano, Italy

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

3. University of Granada, Departamento de Matemática Aplicada, Spain

4. IUSS Pavia, Piazza della Vittoria n.15, 27100 Pavia, Italy

5. University of Pavia, Dipartimento di Matematica, Via A. Ferrata 5/A, 27100 Pavia, Italy

Abstract

This editorial paper is devoted to present the papers published in a special issue focused on recent views, applications, and results of virtual element methods (VEM). A critical analysis of the overall contents of the issue is proposed, thus leading to a forward look to research perspectives.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202521020036

Reference12 articles.

1. A review on arbitrarily regular conforming virtual element methods for second- and higher-order elliptic partial differential equations

2. Virtual Elements for the Navier--Stokes Problem on Polygonal Meshes

3. Recent techniques for PDE discretizations on polyhedral meshes

4. A robust VEM-based approach for flow simulations in poro-fractured media

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2. Agglomeration-Based Geometric Multigrid Schemes for the Virtual Element Method;SIAM Journal on Numerical Analysis;2023-02-23