An Adaptive and Quasi-periodic HDG Method for Maxwell’s Equations in Heterogeneous Media
Liliana Camargo,
Bibiana López-Rodríguez,
Mauricio Osorio
et al.
Abstract:With the aim to continue developing a hybridizable discontinuous Galerkin (HDG) method for problems arisen from photovoltaic cells modeling, in this manuscript we consider the time harmonic Maxwell’s equations in an inhomogeneous bounded bi-periodic domain with quasi-periodic conditions on part of the boundary. We propose an HDG scheme where quasi-periodic boundary conditions are imposed on the numerical trace space. Under regularity assumptions and a proper choice of the stabilization parameter, we prove that… Show more
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