High-order mimetic finite difference method for diffusion problems on polygonal meshes. - Vitaliy Gyrya; Konstantin Lipnikov (J. Comput. Phys., 2008)

Mimetic finite difference method for the Stokes problem on polygonal meshes. - L. Beirão da Veiga; Vitaliy Gyrya; Konstantin Lipnikov; Gianmarco Manzini (J. Comput. Phys., 2009)

Dispersion reducing methods for edge discretizations of the electric vector wave equation. - Vrushali A. Bokil; Nathan Louis Gibson; Vitaliy Gyrya; Duncan A. McGregor (J. Comput. Phys., 2015)

The NonConforming Virtual Element Method for the Stokes Equations. - Andrea Cangiani; Vitaliy Gyrya; Gianmarco Manzini (SIAM J. Numer. Anal., 2016)

The arbitrary order mimetic finite difference method for a diffusion equation with a non-symmetric diffusion tensor. - Vitaliy Gyrya; Konstantin Lipnikov (J. Comput. Phys., 2017)

The virtual element method for resistive magnetohydrodynamics. - Sebastian Naranjo Alvarez; Vrushali A. Bokil; Vitaliy Gyrya; Gianmarco Manzini (CoRR, 2020)

The virtual element method for the coupled system of magneto-hydrodynamics. - Sebastian Naranjo Alvarez; Vrushali A. Bokil; Vitaliy Gyrya; Gianmarco Manzini (CoRR, 2021)

Numerical Solution of the Steady-State Network Flow Equations for a Non-Ideal Gas. - Shriram Srinivasan; Kaarthik Sundar; Vitaliy Gyrya; Anatoly Zlotnik (CoRR, 2022)

Stochastic Finite Volume Method for Uncertainty Quantification of Transient Flow in Gas Pipeline Networks. - Svetlana Tokareva; Anatoly Zlotnik; Vitaliy Gyrya (CoRR, 2022)

Dynamic calibration of differential equations using machine learning, with application to turbulence models. - Ismael Boureima; Vitaliy Gyrya; Juan A. Saenz; Susan Kurien; Marianne M. Francois (J. Comput. Phys., 2022)

The virtual element method for a 2D incompressible MHD system. - Sebastian Naranjo Alvarez; L. Beirão da Veiga; Vrushali A. Bokil; Franco Dassi; Vitaliy Gyrya; Gianmarco Manzini (Math. Comput. Simul., 2023)

Numerical Solution of the Steady-State Network Flow Equations for a Nonideal Gas. - Shriram Srinivasan; Kaarthik Sundar; Vitaliy Gyrya; Anatoly Zlotnik (IEEE Trans. Control. Netw. Syst., 2023)