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Article citations


Martin, R. and Komatitsch, D. (2009) An Unsplit Convolutional Perfectly Matched Layer Technique Improved at Grazing Incidence for the Viscoelastic Wave Equation. Geophysical Journal International, 179, 333-344.

has been cited by the following article:

  • TITLE: Non-Split PML Boundary Condition for Finite Element Time-Domain Modeling of Ground Penetrating Radar

    AUTHORS: Zhi Zhang, Honghua Wang, Minling Wang, Xi Guo, Guihong Guo

    KEYWORDS: Non-Split Perfectly Matched Layer (NPML), Ground Penetrating Radar (GPR), Second Order Wave Equation, Finite Element Time Domain (FETD)

    JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.5, May 23, 2019

    ABSTRACT: As a highly efficient absorbing boundary condition, Perfectly Matched Layer (PML) has been widely used in Finite Difference Time Domain (FDTD) simulation of Ground Penetrating Radar (GPR) based on the first order electromagnetic wave equation. However, the PML boundary condition is difficult to apply in GPR Finite Element Time Domain (FETD) simulation based on the second order electromagnetic wave equation. This paper developed a non-split perfectly matched layer (NPML) boundary condition for GPR FETD simulation based on the second order electromagnetic wave equation. Taking two-dimensional TM wave equation as an example, the second order frequency domain equation of GPR was derived according to the definition of complex extending coordinate transformation. Then it transformed into time domain by means of auxiliary differential equation method, and its FETD equation is derived based on Galerkin method. On this basis, a GPR FETD forward program based on NPML boundary condition is developed. The merits of NPML boundary condition are certified by compared with wave field snapshots, signal and reflection errors of homogeneous medium model with split and non-split PML boundary conditions. The comparison demonstrated that the NPML algorithm can reduce memory occupation and improve calculation efficiency. Furthermore, numerical simulation of a complex model verifies the good absorption effects of the NPML boundary condition in complex structures.