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Abstract
The time domain finite element method (TDFEM) formulations have been presented using two kinds of temporal basis functions, B-spline and Lagrange interpolation polynomial, and the computational domain is truncated with second-order perfectly matched layer (PML). This is motivated by utilising good interpolation features of these temporal basis functions and better absorption performances of second-order PMLs. Numerical cases demonstrate that the proposed TDFEM schemes achieve more accurate results with about 5% to 7% increase of run time and 1.5% increase of memory usage compared with the TDFEM scheme with Sacks PML. However, the presented TDFEM schemes merely require 1/6th of the total run time for frequency domain FEM.
Acknowledgements
This work was supported by the China Postdoctoral Science Foundation (Grant No. 20090460580), the Shanghai Postdoctoral Science Foundation (Grant No. 10R21411700) and the National Natural Science Foundation of China (Grant No. 41001194).