3 papers
math.NA2025
Space-time discretization for barotropic flow stemming from a multisymplectic variational formulation
Mukthesh Mahadev, Marc Gerritsma
This study proposes and analyses a novel higher-order, structure preserving discretization method for inviscid barotropic flows from a Lagrangian perspective. The method is built o…
math.NA2025
Optimal solutions employing an algebraic Variational Multiscale approach Part II: Application to Navier-Stokes
Suyash Shrestha, Marc Gerritsma, Gonzalo Rubio +2
This work presents a non-linear extension of the high-order discretisation framework based on the Variational Multiscale (VMS) method previously introduced for steady linear proble…
math.NA2024
Optimal solutions employing an algebraic Variational Multiscale approach Part I: Steady Linear Problems
Suyash Shrestha, Marc Gerritsma, Gonzalo Rubio +2
This work extends our previous study from S. Shrestha et al. (2024) by introducing a new abstract framework for Variational Multiscale (VMS) methods at the discrete level. We intro…