Abstract
A unified discretization framework, based on the concept of augmented dual grids, is proposed for devising hybrid formulations which combine the Cell Method and the Boundary Element Method for static and quasi-static electromagnetic field problems. It is shown that hybrid approaches, already proposed in literature, can be rigorously formulated within this framework. As a main outcome, a novel direct hybrid approach amenable to iterative solution is derived. Both direct and indirect hybrid approaches, applied to an axisymmetric model, are compared with a reference third-order 2D FEM solution. The effectiveness of the indirect approach, equivalent to the direct approach, is finally tested on a fully 3D benchmark with more complex topology.
Highlights
ObjectivesThe main goal of this paper is to show that hybrid approaches coupling the Cell Method (CM) and the Boundary Element Method (BEM) can be described under a unified theoretical framework, based on the concept of augmented dual grids
Coupling the Cell Method with the Hybrid approaches have been devised for analyzing static and quasi-static electromagnetic problems since the early 1980s to overcome several limitations of both differential and integral equation methods [1,2]
The main goal of this paper is to show that hybrid approaches coupling the Cell Method (CM) and the Boundary Element Method (BEM) can be described under a unified theoretical framework, based on the concept of augmented dual grids
Summary
The main goal of this paper is to show that hybrid approaches coupling the CM and the BEM can be described under a unified theoretical framework, based on the concept of augmented dual grids
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