Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property-Reference-Cited by-同舟云学术

Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property

Published:2023-03-10 Issue:2 Volume:61 Page:457-494
ISSN:0036-1429
Container-title:SIAM Journal on Numerical Analysis
language:en
Short-container-title:SIAM J. Numer. Anal.

Author:

Beirão da Veiga L.¹,Canuto C.²,Nochetto R. H.³,Vacca G.⁴^ORCID,Verani M.⁵

Affiliation:

1. Dipartimento di Matematica e Applicazioni, Università degli Studi di Milano Bicocca, Via Roberto Cozzi 55, 20125 Milan, Italy.

2. Dipartimento di Scienze Matematiche GL Lagrange, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy.

3. Department of Mathematics and Institute for Physical Science and Technology, University of Maryland, College Park, MD 20742 USA.

4. Dipartimento di Matematica, Università degli Studi di Bari, Via Edoardo Orabona 4, 70125 Bari, Italy.

5. MOX-Laboratory for Modeling and Scientific Computing, Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milan, Italy.

Funder

DISMA Excellence Project

Istituto Nazionale di Alta Matematica

Ministero dell'Istruzione, dell'Università e della Ricerca

National Science Foundation

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Numerical Analysis,Applied Mathematics,Computational Mathematics

Reference45 articles.

1. Equivalent projectors for virtual element methods

2. Anisotropic a posteriori error estimate for the virtual element method

3. Refinement of polygonal grids using Convolutional Neural Networks with applications to polygonal Discontinuous Galerkin and Virtual Element methods

4. VEM-based tracking algorithm for cohesive/frictional 2D fracture

5. A feedback finite element method with a posteriori error estimation: Part I. The finite element method and some basic properties of the a posteriori error estimator

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