Using a unified discretization approach based on differential forms, we describe mixed finite element methods (FEMs) in simplicial grids to solve time harmonic Maxwell curl equations in one-, two-, and three-dimensions. The proposed mixed FEM utilizes the electric field intensity and magnetic flux density as simultaneous state variables. Appropriate elements are used as interpolants for and to ...

Mixed dimensional partial differential equations (PDEs) are coupling unknown fields defined over domains of differing topological dimension. Such naturally arise in a wide range scientific including geology, physiology, biology, and fracture mechanics. PDEs also commonly encountered when imposing non-standard conditions subspace lower dimension, e.g., through Lagrange multiplier. In this articl...