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math.NA2026
Nonconforming virtual element methods for fourth-order nonlinear reaction-diffusion systems: a unified framework and analysis
Dibyendu Adak, David Mora, Alberth Silgado
We develop a unified framework for the design and analysis of high-order nonconforming virtual element methods for nonlinear fourth-order reaction--diffusion problems in two dimens…
math.NA2026
Divergence-free and mass-conservative virtual element methods for the Navier-Stokes-Cahn-Hilliard system
Alberth Silgado, Giuseppe Vacca
In this work, we design and analyze semi/fully-discrete virtual element approximations for the time-dependent Navier--Stokes-Cahn--Hilliard equations, modeling the dynamics of two-…
math.NA2022
The Morley-type virtual element method for the Navier-Stokes equations in stream-function form on general meshes
D. Adak, D. Mora, A. Silgado
The nonconforming Morley-type virtual element method for the incompressible Navier-Stokes equations formulated in terms of the stream-function on simply connected polygonal domains…