MATRIX METHODS IN MAGNETOHYDRODYNAMICS

Implicit Numerical Methods for Magnetohydrodynamics

review of radiographic methods in dental implantology

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Provably Positive Discontinuous Galerkin Methods for Multidimensional Ideal Magnetohydrodynamics

The density and pressure are positive physical quantities in magnetohydrodynamics (MHD). Design of provably positivity-preserving (PP) numerical schemes for ideal compressible MHD is highly desired, but remains a challenge especially in the multi-dimensional cases. In this paper, we develop uniformly high-order discontinuous Galerkin (DG) schemes which provably preserve the positivity of densit...

Monolithic Multigrid Methods for Two-Dimensional Resistive Magnetohydrodynamics

Magnetohydrodynamic (MHD) representations are used to model a wide range of plasma physics applications and are characterized by a nonlinear system of partial differential equations that strongly couples a charged fluid with the evolution of electromagnetic fields. The resulting linear systems that arise from discretization and linearization of the nonlinear problem are generally difficult to s...

Domain-decomposed Fully Coupled Implicit Methods for a Magnetohydrodynamics Problem

1 University of Colorado at Boulder, Department of Computer Science, 430 UCB, Boulder, CO 80309, USA, [email protected] 2 Old Dominion University, Department of Computer Science, 3300 ECS Building, Norfolk, VA 23529, USA, [email protected] 3 University of Colorado at Boulder, Department of Computer Science, 430 UCB, Boulder, CO 80309, USA, [email protected] 4 Columbia Univers...