An augmented Lagrangian preconditioner for the magnetohydrodynamics equations at high Reynolds and coupling numbers
The magnetohydrodynamics (MHD) equations are generally known to be difficult to solve
numerically, due to their highly nonlinear structure and the strong coupling between the …
numerically, due to their highly nonlinear structure and the strong coupling between the …
A stable mimetic finite-difference method for convection-dominated diffusion equations
Convection-diffusion equations arise in a variety of applications such as particle transport,
electromagnetics, and magnetohydrodynamics. Simulation of the convection-dominated …
electromagnetics, and magnetohydrodynamics. Simulation of the convection-dominated …
New stabilized P1× P0 finite element methods for nearly inviscid and incompressible flows
Y Li, LT Zikatanov - Computer Methods in Applied Mechanics and …, 2022 - Elsevier
This work proposes a new stabilized P 1× P 0 finite element method for solving the
incompressible Navier–Stokes equations. The numerical scheme is based on a reduced …
incompressible Navier–Stokes equations. The numerical scheme is based on a reduced …
A robust solver for H (curl) convection-diffusion and its local Fourier analysis
J Wang, S Wu - arXiv preprint arXiv:2405.11203, 2024 - arxiv.org
In this paper, we present a robust and efficient multigrid solver based on an exponential-
fitting discretization for 2D H (curl) convection-diffusion problems. By leveraging an …
fitting discretization for 2D H (curl) convection-diffusion problems. By leveraging an …