3 papers
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.NA2025
virtual element methods on polygonal meshes with curved edges
L. Beirão da Veiga, D. Mora, A. Silgado
In this work we design a novel -conforming virtual element method of arbitrary order , to solve the biharmonic problem on a domain with curved boundary and internal…