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Special Issue: Advancements in Polytopal Element Methods

Guest Editors

Prof. Michele Botti
Department of Mathematics, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italy
Email: michele.botti@polimi.it


Prof. Franco Dassi
Department of Mathematics and Applications, University of Milano-Bicocca, Via Cozzi 55, 20125 Milano, Italy
Email: franco.dassi@unimib.it


Prof. Lorenzo Mascotto
Department of Mathematics and Applications, University of Milano-Bicocca, Via Cozzi 55, 20125 Milano, Italy
Email: lorenzo.mascotto@unimib.it


Prof. Ilario Mazzieri
Department of Mathematics, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italy
Email: ilario.mazzieri@polimi.it

Published Papers(12)

Research article
Homogenization of composite materials reinforced with unidirectional fibres with complex curvilinear cross section: a virtual element approach
E. Artioli,  G. Elefante,  A. Sommariva,  M. Vianello
2024, Volume 6, Issue 4: 510-535. doi: 10.3934/mine.2024021
Abstract HTML PDF Viewed (1097)
Research article
Two arbitrary-order constraint-preserving schemes for the Yang–Mills equations on polyhedral meshes
Jérôme Droniou,  Jia Jia Qian
2024, Volume 6, Issue 3: 468-493. doi: 10.3934/mine.2024019
Abstract HTML PDF Viewed (849)
Research article
Turing patterns in a 3D morpho-chemical bulk-surface reaction-diffusion system for battery modeling
Massimo Frittelli,  Ivonne Sgura,  Benedetto Bozzini
2024, Volume 6, Issue 2: 363-393. doi: 10.3934/mine.2024015
Abstract HTML PDF Cited (3) Viewed (1474)
Research article
A locally conservative staggered least squares method on polygonal meshes
Lina Zhao,  Eun-Jae Park
2024, Volume 6, Issue 2: 339-362. doi: 10.3934/mine.2024014
Abstract HTML PDF Viewed (1247)
Research article
Efficient implementation of the hybridized Raviart-Thomas mixed method by converting flux subspaces into stabilizations
Sreevatsa Anantharamu,  Bernardo Cockburn
2024, Volume 6, Issue 2: 221-237. doi: 10.3934/mine.2024010
Abstract HTML PDF Viewed (1233)
Research article
Quadrature-free polytopic discontinuous Galerkin methods for transport problems
Thomas J. Radley,  Paul Houston,  Matthew E. Hubbard
2024, Volume 6, Issue 1: 192-220. doi: 10.3934/mine.2024009
Abstract HTML PDF Cited (1) Viewed (1220)
Research article
SUPG-stabilized stabilization-free VEM: a numerical investigation
Andrea Borio,  Martina Busetto,  Francesca Marcon
2024, Volume 6, Issue 1: 173-191. doi: 10.3934/mine.2024008
Abstract HTML PDF Cited (4) Viewed (1439)
Research article
Structure preservation in high-order hybrid discretisations of potential-driven advection-diffusion: linear and nonlinear approaches
Simon Lemaire,  Julien Moatti
2024, Volume 6, Issue 1: 100-136. doi: 10.3934/mine.2024005
Abstract HTML PDF Cited (1) Viewed (1323)
Research article
Nonnegative moment coordinates on finite element geometries
L. Dieci,  Fabio V. Difonzo,  N. Sukumar
2024, Volume 6, Issue 1: 81-99. doi: 10.3934/mine.2024004
Abstract HTML PDF Viewed (1216)
Research article
Higher-order adaptive virtual element methods with contraction properties
Claudio Canuto,  Davide Fassino
2023, Volume 5, Issue 6: 1-33. doi: 10.3934/mine.2023101
Abstract HTML PDF Cited (3) Viewed (1755)
Research article
A guide to the design of the virtual element methods for second- and fourth-order partial differential equations
Yu Leng,  Lampros Svolos,  Dibyendu Adak,  Ismael Boureima,  Gianmarco Manzini,  Hashem Mourad,  Jeeyeon Plohr
2023, Volume 5, Issue 6: 1-22. doi: 10.3934/mine.2023100
Abstract HTML PDF Cited (1) Viewed (2033)
Research article
The mixed virtual element discretization for highly-anisotropic problems: the role of the boundary degrees of freedom
Stefano Berrone,  Stefano Scialò,  Gioana Teora
2023, Volume 5, Issue 6: 1-32. doi: 10.3934/mine.2023099
Abstract HTML PDF Cited (1) Viewed (1564)
Mathematics in Engineering
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