The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
SIAM Journal on Numerical Analysis
Nodal high-order methods on unstructured grids
Journal of Computational Physics
Interior penalty method for the indefinite time-harmonic Maxwell equations
Numerische Mathematik
Discontinuous Galerkin Methods for Friedrichs' Systems. I. General theory
SIAM Journal on Numerical Analysis
Discontinuous Galerkin Methods for Friedrichs’ Systems. Part II. Second-order Elliptic PDEs
SIAM Journal on Numerical Analysis
Journal of Computational Physics
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We present numerical results concerning the solution of the time-harmonic Maxwell equations discretized by discontinuous Galerkin methods. In particular, a numerical study of the convergence, which compares different strategies proposed in the literature for the elliptic Maxwell equations, is performed in the two-dimensional case.