TY - GEN
T1 - A Low-Storage PML Implementation within a High-order Discontinuous Galerkin Time-Domain Method
AU - Chen, Liang
AU - Ozakin, Mehmet Burak
AU - Bagci, Hakan
N1 - KAUST Repository Item: Exported on 2021-02-23
Acknowledged 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.
PY - 2020
Y1 - 2020
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/667549
UR - https://ieeexplore.ieee.org/document/9330033/
U2 - 10.1109/IEEECONF35879.2020.9330033
DO - 10.1109/IEEECONF35879.2020.9330033
M3 - Conference contribution
SN - 978-1-7281-6671-1
BT - 2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting
PB - IEEE
ER -