A new family of mixed finite elements in IR3
Numerische Mathematik
Mixed and hybrid finite element methods
Mixed and hybrid finite element methods
An optimal domain decomposition preconditioner for low-frequency time-harmonic Maxwell equations
Mathematics of Computation
Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
SIAM Journal on Numerical Analysis
Thehp-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations
Mathematics of Computation
SIAM Journal on Numerical Analysis
Mixed Discontinuous Galerkin Approximation of the Maxwell Operator
SIAM Journal on Numerical Analysis
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A non-stabilized mixed discontinuous Galerkin method for the discretization of the Maxwell operator on simplicial meshes is studied. In contrast to the stabilized scheme introduced in Houston, Perugia and Schötzau, Siam J. Numer. Anal., 42: 434-459, 2004, the proposed formulation contains no normal-jump stabilization; instead, it is based on discontinuous mixed-order (Pl)3-Pl+1] elements for the approximation of the unknowns. A priori error bounds in the energy norm are derived that show convergence rates of the order O(hl) in the mesh size h. The error analysis relies on suitable decompositions of discontinuous spaces and on stability properties of the underlying conforming spaces. The formulation is tested on a set of numerical examples in two space dimensions.