A Low-Storage PML Implementation within a High-order Discontinuous Galerkin Time-Domain Method

Liang Chen, Mehmet Burak Ozakin, Hakan Bagci

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The perfectly matched layer (PML) is one of the most popular domain truncation techniques used by wave equation solvers. PML implementations often use smooth-varying attenuation coefficients to achieve desired levels of accuracy and efficiency by reducing numerical reflection and PML thickness, respectively. For a discontinuous Galerkin time-domain (DGTD) scheme, this approach requires storing a different mass matrix for every mesh element, and therefore significantly increases the memory footprint. In this work, an efficient implementation of PML, which makes use of weight-adjusted approximation to account for smooth-varying attenuation coefficients, is developed. The proposed scheme results in a DGTD scheme with a small memory footprint while maintaining the high-order accuracy of the solution using a thin PML.
Original languageEnglish (US)
Title of host publication2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting
PublisherIEEE
ISBN (Print)978-1-7281-6671-1
DOIs
StatePublished - 2020

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