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 language | English (US) |
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Title of host publication | 2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting |
Publisher | IEEE |
ISBN (Print) | 978-1-7281-6671-1 |
DOIs | |
State | Published - 2020 |
Bibliographical note
KAUST Repository Item: Exported on 2021-02-23Acknowledged KAUST grant number(s): 2016-CRG5-2953
Acknowledgements: This publication is supported by the KAUST OSR under Award No 2016-CRG5-2953. The authors would like to thank the KAUST Supercomputing Laboratory (KSL) for providing the required computational resources.