Journal of Computational Physics
The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
SIAM Journal on Numerical Analysis
Thehp-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations
Mathematics of Computation
Journal of Computational Physics
Mathematical and Computer Modelling: An International Journal
Spectral method for matching exterior and interior elliptic problems
Journal of Computational Physics
Journal of Computational Physics
A finite volume spectral element method for solving magnetohydrodynamic (MHD) equations
Applied Numerical Mathematics
Effects of discontinuous magnetic permeability on magnetodynamic problems
Journal of Computational Physics
Hi-index | 31.47 |
The Maxwell equations in the magnetohydrodynamic (MHD) limit in heterogeneous domains composed of conducting and non-conducting regions are solved by using Lagrange finite elements and by enforcing continuities across interfaces using an Interior Penalty technique a la Baker [Finite element methods for elliptic equations using non-conforming elements, Math. Comp. 31 (137) (1977) 45-59]. The method is shown to be stable and convergent and is validated by convergence tests. It is used to compute Ohmic decay in various compact conducting domains and to simulate the kinematic dynamo action in two different geometries.