Zobrazeno 1 - 10
of 181
pro vyhledávání: '"Shadid, John N."'
Publikováno v:
Computers Mathematics with Applications, 154 (2024), pp. 236-266
This work proposes a unified $hp$-adaptivity framework for hybridized discontinuous Galerkin (HDG) method for a large class of partial differential equations (PDEs) of Friedrichs' type. In particular, we present unified $hp$-HDG formulations for abst
Externí odkaz:
http://arxiv.org/abs/2304.03690
We discuss structure-preserving numerical discretizations for repulsive and attractive Euler-Poisson equations that find applications in fluid-plasma and self-gravitation modeling. The scheme is fully discrete and structure preserving in the sense th
Externí odkaz:
http://arxiv.org/abs/2207.07860
The magnetohydrodynamics (MHD) equations are continuum models used in the study of a wide range of plasma physics systems, including the evolution of complex plasma dynamics in tokamak disruptions. However, efficient numerical solution methods for MH
Externí odkaz:
http://arxiv.org/abs/2106.00260
Autor:
Ohm, Peter, Wiesner, Tobias, Cyr, Eric C., Hu, Jonathan J., Shadid, John N., Tuminaro, Raymond S.
A multigrid framework is described for multiphysics applications. The framework allows one to construct, adapt, and tailor a monolithic multigrid methodology to different linear systems coming from discretized partial differential equations. The main
Externí odkaz:
http://arxiv.org/abs/2103.07537
We present a scalable block preconditioning strategy for the trace system coming from the high-order hybridized discontinuous Galerkin (HDG) discretization of incompressible resistive magnetohydrodynamics (MHD). We construct the block preconditioner
Externí odkaz:
http://arxiv.org/abs/2012.07648
Publikováno v:
In Computers and Mathematics with Applications 15 January 2024 154:236-266
High Rayleigh number variational multiscale large eddy simulations of Rayleigh-B\'{e}nard Convection
The variational multiscale (VMS) formulation is used to develop residual-based VMS large eddy simulation (LES) models for Rayleigh-B\'{e}nard convection. The resulting model is a mixed model that incorporates the VMS model and an eddy viscosity model
Externí odkaz:
http://arxiv.org/abs/2005.10153
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 integration is used in the case of the transient form. A differentiable loca
Externí odkaz:
http://arxiv.org/abs/1911.06792
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 decomposition, and high-order characteristic of HDG discretizations. Specifica
Externí odkaz:
http://arxiv.org/abs/1903.11045
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 1 February 2023 404