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An enriched virtual element method for 2D‐3C generalized membrane shell model on surface
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Phase-Informed Discontinuous Galerkin Method for Extremely High-Frequency Wave Modeling
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Virtual element method for a frictional contact problem with normal compliance
Partial differential equations on hypergraphs and networks of surfaces: Derivation and hybrid discretizations
Andreas Rupp, Markus Gahn and Guido Kanschat ESAIM: Mathematical Modelling and Numerical Analysis 56(2) 505 (2022) https://doi.org/10.1051/m2an/2022011
A priori error analysis of virtual element method for contact problem
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The Virtual Element Method and its Applications
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Virtual elements for sound propagation in complex poroelastic media
Extended virtual element method for two-dimensional linear elastic fracture
E. Benvenuti, A. Chiozzi, G. Manzini and N. Sukumar Computer Methods in Applied Mechanics and Engineering 390 114352 (2022) https://doi.org/10.1016/j.cma.2021.114352
Weakly imposed Dirichlet boundary conditions for 2D and 3D Virtual Elements
Silvia Bertoluzza, Micol Pennacchio and Daniele Prada Computer Methods in Applied Mechanics and Engineering 400 115454 (2022) https://doi.org/10.1016/j.cma.2022.115454
Adaptive virtual element methods with equilibrated fluxes
THE IMPACT OF ENVIRONMENTAL CONSTRUCTION ON THE SPATIAL CONFIGURATION OF TRADITIONAL IRANIAN HOUSING (CASE STUDY: COMPARISON OF DEZFUL AND BOROUJERD TRADITIONAL HOUSING)
Virtual element methods for the three-field formulation of time-dependent linear poroelasticity
Raimund Bürger, Sarvesh Kumar, David Mora, Ricardo Ruiz-Baier and Nitesh Verma Advances in Computational Mathematics 47(1) (2021) https://doi.org/10.1007/s10444-020-09826-7
Virtual Elements for the Transmission Eigenvalue Problem on Polytopal Meshes
A virtual element method for the von Kármán equations
Carlo Lovadina, David Mora and Iván Velásquez ESAIM: Mathematical Modelling and Numerical Analysis 55(2) 533 (2021) https://doi.org/10.1051/m2an/2020085
A review on arbitrarily regular conforming virtual element methods for second- and higher-order elliptic partial differential equations
Paola F. Antonietti, Gianmarco Manzini, Simone Scacchi and Marco Verani Mathematical Models and Methods in Applied Sciences 31(14) 2825 (2021) https://doi.org/10.1142/S0218202521500627
Enrichment of the nonconforming virtual element method with singular functions
Relationship between the vertex-centered linearity-preserving scheme and the lowest-order virtual element method for diffusion problems on star-shaped polygons
Error estimation and mesh adaptivity for the virtual element method based on recovery by compatibility in patches
Antonio Maria D'Altri, Stefano de Miranda, Luca Patruno, Edoardo Artioli and Carlo Lovadina International Journal for Numerical Methods in Engineering 121(19) 4374 (2020) https://doi.org/10.1002/nme.6438
Polynomial preserving virtual elements with curved edges
L. Beirão da Veiga, F. Brezzi, L. D. Marini and A. Russo Mathematical Models and Methods in Applied Sciences 30(08) 1555 (2020) https://doi.org/10.1142/S0218202520500311
A priori and a posteriori error estimates for a virtual element spectral analysis for the elasticity equations
A virtual element method for a nonlocal FitzHugh–Nagumo model of cardiac electrophysiology
Mauricio Sepúlveda, David Mora, Mostafa Bendahmane and Verónica Anaya IMA Journal of Numerical Analysis 40(2) 1544 (2020) https://doi.org/10.1093/imanum/drz001
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Extended virtual element method for the Laplace problem with singularities and discontinuities
A multigrid algorithm for the p-version of the virtual element method
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Exponential convergence of the hp virtual element method in presence of corner singularities
Virtual Element approximations of the Vector Potential Formulation of Magnetostatic problems
Lourenço Beirão da Veiga, Franco Brezzi, L. Donatella Marini and Alessandro Russo The SMAI Journal of computational mathematics 4 399 (2018) https://doi.org/10.5802/smai-jcm.40