A Simple Finite Difference Scheme for Multidimensional Magnetohydrodynamical Equations
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journal
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May 1998 |
A Divergence‐free Upwind Code for Multidimensional Magnetohydrodynamic Flows
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journal
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December 1998 |
Divergence-Free Adaptive Mesh Refinement for Magnetohydrodynamics
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journal
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December 2001 |
The ∇·B=0 Constraint in Shock-Capturing Magnetohydrodynamics Codes
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journal
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July 2000 |
Implicit and semi-implicit schemes: Algorithms
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journal
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June 1999 |
An implicit algorithm for compressible three-dimensional magnetohydrodynamic calculations
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journal
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May 1985 |
Nonlinear simulation studies of tokamaks and STs
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journal
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June 2003 |
Implicit solution of the four-field extended-magnetohydrodynamic equations using high-order high-continuity finite elements
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journal
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May 2005 |
Semi-implicit method for three-dimensional compressible magnetohydrodynamic simulation
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journal
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August 1985 |
Semi-implicit magnetohydrodynamic calculations
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journal
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June 1987 |
Accurate semi-implicit treatment of the Hall effect in magnetohydrodynamic computations
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journal
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July 1989 |
Nonlinear magnetohydrodynamics simulation using high-order finite elements
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journal
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March 2004 |
IRMHD: an implicit radiative and magnetohydrodynamical solver for self-gravitating systems
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journal
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July 1998 |
ALEGRA: An Arbitrary Lagrangian-Eulerian Multimaterial, Multiphysics Code
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conference
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June 2012 |
Three-dimensional HYDRA simulations of National Ignition Facility targets
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journal
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May 2001 |
An Implicit, Nonlinear Reduced Resistive MHD Solver
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journal
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May 2002 |
Approximate Riemann solver for the two-fluid plasma model
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journal
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May 2003 |
A non-staggered, conservative, , finite-volume scheme for 3D implicit extended magnetohydrodynamics in curvilinear geometries
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journal
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November 2004 |
Coalescence of Magnetic Islands in the Low-Resistivity, Hall-MHD Regime
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journal
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April 2006 |
An optimal, parallel, fully implicit Newton–Krylov solver for three-dimensional viscoresistive magnetohydrodynamics
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journal
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May 2008 |
Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods
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journal
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October 2010 |
Advanced physics calculations using a multi-fluid plasma model
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journal
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September 2011 |
Review of implicit methods for the magnetohydrodynamic description of magnetically confined plasmas
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journal
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February 2012 |
Mixed finite elements in ?3
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journal
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September 1980 |
Simulation of magnetohydrodynamic flows - A constrained transport method
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journal
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September 1988 |
Adjoint operators for the natural discretizations of the divergence, gradient and curl on logically rectangular grids
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journal
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December 1997 |
Mixed finite element methods for stationary incompressible magneto?hydrodynamics
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journal
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February 2004 |
Hall MHD effects on the 2D Kelvin–Helmholtz/tearing instability
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journal
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February 2003 |
An adaptive finite element method for magnetohydrodynamics
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journal
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July 2007 |
On the existence, uniqueness, and finite element approximation of solutions of the equations of stationary, incompressible magnetohydrodynamics
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journal
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May 1991 |
A stabilized finite element method for the incompressible magnetohydrodynamic equations
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journal
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November 2000 |
Singularities of Electromagnetic Fields¶in Polyhedral Domains
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journal
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April 2000 |
Weighted regularization of Maxwell equations in polyhedral domains
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journal
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December 2002 |
A conservative stabilized finite element method for the magneto-hydrodynamic equations
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journal
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March 1999 |
Stabilized Finite Element Approximation of the Stationary Magneto-Hydrodynamics Equations
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journal
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February 2006 |
Approximation of the thermally coupled MHD problem using a stabilized finite element method
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journal
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February 2011 |
On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics
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journal
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February 2013 |
Hyperbolic Divergence Cleaning for the MHD Equations
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journal
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January 2002 |
Nonlinear, three-dimensional magnetohydrodynamics of noncircular tokamaks
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journal
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January 1976 |
A four-field model for tokamak plasma dynamics
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journal
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January 1985 |
Nonlinear reduced fluid equations for toroidal plasmas
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journal
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January 1984 |
Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
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journal
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September 1982 |
A new finite element formulation for computational fluid dynamics: V. Circumventing the babuška-brezzi condition: a stable Petrov-Galerkin formulation of the stokes problem accommodating equal-order interpolations
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journal
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November 1986 |
Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
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journal
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November 1995 |
The variational multiscale method—a paradigm for computational mechanics
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journal
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November 1998 |
A New Approximate Block Factorization Preconditioner for Two-Dimensional Incompressible (Reduced) Resistive MHD
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journal
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January 2013 |
On stabilized finite element methods for linear systems of convection–diffusion-reaction equations
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journal
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July 2000 |
Stabilized finite element approximation of transient incompressible flows using orthogonal subscales
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journal
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August 2002 |
A new class of finite element variational multiscale turbulence models for incompressible magnetohydrodynamics
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journal
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August 2015 |
A new finite element formulation for computational fluid dynamics: III. The generalized streamline operator for multidimensional advective-diffusive systems
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journal
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November 1986 |
The Effect of Nonzero ∇ · B on the numerical solution of the magnetohydrodynamic equations
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journal
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May 1980 |
A method for incorporating Gauss' law into electromagnetic PIC codes
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journal
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January 1987 |
Convergence Theory of Nonlinear Newton–Krylov Algorithms
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journal
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May 1994 |
Inexact Newton Methods
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journal
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April 1982 |
Choosing the Forcing Terms in an Inexact Newton Method
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journal
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January 1996 |
Globally Convergent Inexact Newton Methods
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journal
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May 1994 |
An Inexact Newton Method for Fully Coupled Solution of the Navier–Stokes Equations with Heat and Mass Transport
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journal
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October 1997 |
Globalization Techniques for Newton–Krylov Methods and Applications to the Fully Coupled Solution of the Navier–Stokes Equations
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journal
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January 2006 |
An overview of the Trilinos project
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journal
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September 2005 |
Large-scale stabilized FE computational analysis of nonlinear steady-state transport/reaction systems
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journal
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February 2006 |
On a multilevel preconditioning module for unstructured mesh Krylov solvers: two-level Schwarz
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journal
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March 2002 |
Performance of fully coupled domain decomposition preconditioners for finite element transport/reaction simulations
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journal
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May 2005 |
Performance of fully coupled algebraic multilevel domain decomposition preconditioners for incompressible flow and transport
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journal
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January 2006 |
A parallel fully coupled algebraic multilevel preconditioner applied to multiphysics PDE applications: Drift-diffusion, flow/transport/reaction, resistive MHD
- Lin, Paul T.; Shadid, John N.; Tuminaro, Raymond S.
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International Journal for Numerical Methods in Fluids, Vol. 64, Issue 10-12
https://doi.org/10.1002/fld.2402
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journal
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September 2010 |
Self-focusing of local plasma currents
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journal
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September 1965 |
Coalescence of magnetic islands, sloshing, and the pressure problem
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journal
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March 2006 |