1 citations · 1 across the 3 of their papers we have counts for
6 papers
A Monolithic Algebraic Multigrid Framework for Multiphysics Applications with Examples from Resistive MHD
Peter Ohm, Tobias Wiesner, Eric C. Cyr +3
A multigrid framework is described for multiphysics applications. The framework allows one to construct, adapt, and tailor a monolithic multigrid methodology to different linear sy…
A Multilevel Block Preconditioner for the HDG Trace System Applied to Incompressible Resistive MHD
Sriramkrishnan Muralikrishnan, Stephen Shannon, Tan Bui-Thanh +1
We present a scalable block preconditioning strategy for the trace system coming from the high-order hybridized discontinuous Galerkin (HDG) discretization of incompressible resist…
High Rayleigh number variational multiscale large eddy simulations of Rayleigh-Bénard Convection
David Sondak, Thomas M. Smith, Roger P. Pawlowski +2
The variational multiscale (VMS) formulation is used to develop residual-based VMS large eddy simulation (LES) models for Rayleigh-Bénard convection. The resulting model is a mixed…
An a posteriori error analysis for the equations of stationary incompressible magnetohydrodynamics
J. H. Chaudhry, A. E. Rappaport, J. N. Shadid
Magnetohydrodynamics (MHD) is a continuum level model for conducting fluids subject to external magnetic fields, e.g. plasmas and liquid metals. The efficient and robust solution o…
On differentiable local bounds preserving stabilization for Euler equations
Santiago Badia, Jesús Bonilla, Sibusiso Mabuza +1
This work presents the design of nonlinear stabilization techniques for the finite element discretization of Euler equations in both steady and transient form. Implicit time integr…
A Multilevel Approach for Trace System in HDG Discretizations
Sriramkrishnan Muralikrishnan, Tan Bui-Thanh, John N. Shadid
We propose a multilevel approach for trace systems resulting from hybridized discontinuous Galerkin (HDG) methods. The key is to blend ideas from nested dissection, domain decompos…