An Efficient Domain Cascading Approach for Linear Discontinuous Galerkin Schemes

A discontinuous Galerkin finite element method based domain decomposition technique is presented for solving Maxwell's Equations. The method can be implemented with either time domain or frequency domain solutions for subdomains. The problem in each sub domain is solved using open boundaries. A connection in frequency domain is then established between the solved outward and inward fluxes of the sub-domains touching each other. No field continuity is imposed giving the technique high computational efficiency due to the lack of Schwarz iterations. The sub-domains are cascaded in a non-iterative manner. The methods' core elements are verified by comparing them to commercial solvers using a two-element antenna problem and a periodic boundary problem in 2D space.