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 sub-domains. 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. © Institution of Engineering and Technology.All Rights Reserved