A virtual element discretization for the time dependent Navier–Stokes equations in stream-function formulation
ESAIM: M2AN, 55 5 (2021) 2535-2566
Published online: 2021-11-01
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Divergence-free stabilized virtual element method for the unsteady incompressible Navier–Stokes problem
Yang Li, Minfu Feng and Yanhong BaiJournal of Computational and Applied Mathematics 473 116838 (2026)
https://doi.org/10.1016/j.cam.2025.116838
VEMcomp: a Virtual Elements MATLAB package for bulk-surface PDEs in 2D and 3D
Massimo Frittelli, Anotida Madzvamuse and Ivonne SguraNumerical Algorithms 99 (3) 1393 (2025)
https://doi.org/10.1007/s11075-024-01919-4
Stream Virtual Elements for the Navier–Stokes System: Nonstandard Boundary Conditions and Variable Recovery Algorithms
David Mora and Alberth SilgadoSIAM Journal on Scientific Computing 47 (1) A207 (2025)
https://doi.org/10.1137/24M1633960
(2024)
https://doi.org/10.2139/ssrn.4770261
Convergence Analysis for Virtual Element Discretizations of the Cardiac Bidomain Model
Ngoc Mai Monica HuynhJournal of Scientific Computing 98 (2) (2024)
https://doi.org/10.1007/s10915-023-02435-8
The Morley-type virtual element method for the Navier–Stokes equations in stream-function form
D. Adak, D. Mora and A. SilgadoComputer Methods in Applied Mechanics and Engineering 419 116573 (2024)
https://doi.org/10.1016/j.cma.2023.116573
A $$C^1$$-Conforming Arbitrary-Order Two-Dimensional Virtual Element Method for the Fourth-Order Phase-Field Equation
Dibyendu Adak, Gianmarco Manzini, Hashem M. Mourad, JeeYeon N. Plohr and Lampros SvolosJournal of Scientific Computing 98 (2) (2024)
https://doi.org/10.1007/s10915-023-02409-w
(2024)
https://doi.org/10.2139/ssrn.4846683
On the BEM solution of convection–diffusion type equations involving variable convective coefficients
Hande Fendoğlu, Canan Bozkaya and Munevver Tezer-SezginFluid Dynamics Research 56 (3) 035509 (2024)
https://doi.org/10.1088/1873-7005/ad56c5
A mixed virtual element method for the two-dimensional Navier-Stokes equations in stream-function formulation
Xi Zhang and Minfu FengComputers & Mathematics with Applications 175 119 (2024)
https://doi.org/10.1016/j.camwa.2024.09.020
A Virtual Element method for non-Newtonian pseudoplastic Stokes flows
Paola F. Antonietti, Lourenço Beirão da Veiga, Michele Botti, Giuseppe Vacca and Marco VeraniComputer Methods in Applied Mechanics and Engineering 428 117079 (2024)
https://doi.org/10.1016/j.cma.2024.117079
A fully-discrete virtual element method for the nonstationary Boussinesq equations in stream-function form
L. Beirão da Veiga, D. Mora and A. SilgadoComputer Methods in Applied Mechanics and Engineering 408 115947 (2023)
https://doi.org/10.1016/j.cma.2023.115947
Stability and Interpolation Properties for Stokes-Like Virtual Element Spaces
Jian Meng, Lourenço Beirão da Veiga and Lorenzo MascottoJournal of Scientific Computing 94 (3) (2023)
https://doi.org/10.1007/s10915-023-02112-w
A Morley-type virtual element approximation for a wind-driven ocean circulation model on polygonal meshes
D. Adak, D. Mora and A. SilgadoJournal of Computational and Applied Mathematics 425 115026 (2023)
https://doi.org/10.1016/j.cam.2022.115026
Conforming and nonconforming virtual element methods for fourth order nonlocal reaction diffusion equation
Dibyendu Adak, Verónica Anaya, Mostafa Bendahmane and David MoraMathematical Models and Methods in Applied Sciences 33 (10) 2035 (2023)
https://doi.org/10.1142/S0218202523500483
The nonconforming virtual element method for Oseen’s equation using a stream-function formulation
Dibyendu Adak and Gianmarco ManziniESAIM: Mathematical Modelling and Numerical Analysis 57 (6) 3303 (2023)
https://doi.org/10.1051/m2an/2023075
Error Estimates of Conforming Virtual Element Methods with a Modified Symmetric Nitsche’s Formula for 2D Semilinear Parabolic Equations
Yang Xu, Zhenguo Zhou and Jingjun ZhaoJournal of Scientific Computing 95 (3) (2023)
https://doi.org/10.1007/s10915-023-02188-4
Convergence Analysis of Virtual Element Method for Nonlinear Nonlocal Dynamic Plate Equation
D. Adak, D. Mora and S. NatarajanJournal of Scientific Computing 91 (1) (2022)
https://doi.org/10.1007/s10915-022-01794-y