The magnetohydrodynamics equations model a wide range of plasma physics applications
and are characterized by a nonlinear system of partial differential equations that strongly …

We discuss a class of magnetic–electric fields based finite element schemes for stationary
magnetohydrodynamics (MHD) systems with two types of boundary conditions. We establish …

We develop structure-preserving finite element methods for the incompressible, resistive
Hall magnetohydrodynamics (MHD) equations. These equations incorporate the Hall current …

Nuclear fusion, the process that could potentially bring clean, abundant, and virtually
limitless power generation on Earth, has been a subject of intense research and exploration …

Adjoint based a posteriori error analysis is a technique to produce exact error repre-
sentations for quantities of interests that are functions of the solution of systems of partial …

Resistive magnetohydrodynamics (MHD) is a continuum base-level model for conducting
fluids (eg, plasmas and liquid metals) subject to external magnetic fields. The efficient and …