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    H-matrix preconditioning for the time-harmonic electromagnetic discontinuous Galerkin method

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    Date
    2018-08
    Author
    Bagherli, Hamidreza
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    Abstract
    Hierarchical matrices, or H-matrices are an error-controllable framework that permit efficient inversion and decomposition of matrices arising in time-harmonic electromagnetics applications. This work evaluates the capabilities of H-matrices for preconditioning iterative solutions to the time-harmonic discontinuous Galerkin method. Particular focus is given to exact radiating boundary conditions in the discontinuous Galerkin formulation. In order to ensure a deep understanding of H-matrix theory and operations, an H-matrix framework has been developed. Performance of H-LU decompositions as error-controllable preconditioners is demonstrated, showing the desired time, memory, and accuracy scaling.
    URI
    http://hdl.handle.net/1993/33464
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    • FGS - Electronic Theses and Practica [25522]

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