An electromagnetic hybridizable discontinuous Galerkin method forward solver with high-order geometry for inverse problems
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Date
2020-12
Authors
Geddert, Nicholas
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Abstract
This thesis focuses on the theory, development, and implementation of a time-harmonic
hybridizable discontinuous Galerkin method forward solver. This algorithm is capable of
representing the physics and geometry of the problem as high-order polynomial expansions. It computes the scattered electric and magnetic fields on unstructured grids with
high-order accuracy, and supports boundary conditions and inhomogeneous backgrounds.
The high-order capabilities improve convergence which are examined for both synthetic
and experimental problems. Furthermore, the algorithm has been accelerated for modern
computing architectures allowing it to scale to large problem sizes. The forward solver
is integrated into an existing contrast source inversion algorithm used for radiowave and
microwave imaging which improves the modeling capabilities and computational demand.
Results of the hybridizable discontinuous Galerkin method forward solver are presented,
which show improved capabilities and performance over existing solvers.
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Keywords
Computational electromagnetics, Imaging, Microwave imaging, Inverse problems,Discontinuous Galerkin, Galerkin, Hybridizable Galerkin, Optimization, Software engineering, Electrical engineering